# Full Text: Realizing Emptiness: Operational Surrogates for No-Self-Evidence, QRF Opacification, and Bayesian Model Reduction

> Extracted from `realizing_emptiness_combined.pdf`

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Realizing Emptiness
Operational Surrogates for No-Self-Evidence, QRF Opacification, and Bayesian Model Reduction
Daniel Ari Friedman
Active Inference Institute
daniel@activeinference.institute
ORCID: 0000-0001-6232-9096
DOI: 10.5281/zenodo.20834847
June 24, 2026

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Contents
1
Abstract
2
2
Introduction
3
2.1
No-Self-Evidence as a Finite Boundary-Screen Problem
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3
2.2
Finite Surrogates over Literal Quantum Simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6
3
Methods
7
3.1
Equation Registry and Finite qFEP Engines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
7
3.2
Finite QRF Boundary Screen and Relabeling Rules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8
3.3
Separation Prior as a Restricted QRF Subspace . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9
3.4
Bayesian Model Reduction over the Separation Prior . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
10
3.5
Profile-Specific pymdp Generative Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
10
4
Results
12
4.1
Boundary Geometry and QRF Indistinguishability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
12
4.2
Finite Quantum Scope and Blocked Claims
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
12
4.3
BMR Pruning and Sensitivity Behavior
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
14
4.4
pymdp Profiles and Policy Trace
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
15
5
Discussion
19
5.1
What the Software Boundary Establishes
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
19
5.2
Source Roles Prevent Claim Inflation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
20
5.3
Practice Interfaces Remain Outcome-Independent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
20
5.4
Criticality Remains a Proxy Vocabulary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
21
5.5
Care and Compassion Stay Normatively Bounded . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
21
5.6
Evidence Required for Stronger Claims . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
21
5.7
Finite Engines Do Not Collapse the Evidence Boundary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
22
6
Conclusion
24
6.1
What the Finite Surrogates Establish . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
24
6.2
Validated Finite Software Contributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
24
6.3
The Evidence Boundary Left Uncrossed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
24
6.4
Source-Faithful Platform for Future Evidence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
24
7
Supplementary Audits and Reproducibility
25
7.1
Symbol and Variable Glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
25
7.1.1
Boundary screen and quantum reference frames . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
25
7.1.2
Separation prior, free energy, and Bayesian model reduction . . . . . . . . . . . . . . . . . . . . . . . .
25
7.1.3
Active-inference generative arrays (pymdp)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
26
7.1.4
Seeded criticality signatures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
26
7.1.5
Finite quantum-information quantities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
27
7.2
Supplemental Finite Quantum and Contextuality Audits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
27
7.3
Criticality Signatures with Null Controls . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
37
7.3.1
Seeded Criticality Indicators with Null Controls . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
41
7.4
Compassion Scope as a Precision-Weighted Policy Proxy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
44
7.4.1
Compassion Proxy as Modeled Policy Scope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
44
7.5
Source-Role Ledger . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
44
7.6
Embodied-Practice Protocols as Bounded Model Interventions . . . . . . . . . . . . . . . . . . . . . . . . . . .
45
7.7
Contemplative Inquiry as Progressive Opacification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
46
7.7.1
Opacification ladder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
46
7.7.2
Concept associations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
46
7.7.3
Profile prompts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
47
7.7.4
Slogans for reflection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
47
7.7.5
Reading order . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
47
7.8
Reproducibility Gates and Meta-Manuscript Record
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
47
7.8.1
Reproducibility Gates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
48
7.8.2
Claim Reading Guide and Evidence Ceilings
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
49
7.8.3
Figure Source Maps and Visual QA
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
49
7.8.4
Release, Review Response, and Limits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
51

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1
Abstract
This project operationalizes the 2026 preprint There is no self-evidence: A physics of emptiness realisation as a source-
anchored software artifact [Sandved-Smith et al., 2026].
Its central claim is that a finite agent can use a boundary for
prediction while never obtaining evidence that the boundary is ontologically real, and the software separates three local
artifact roles: formal sanity checks for source equations, positive-control-style finite mechanism checks, and discriminating
tests that reject stronger readings when a control is perturbed. The formal layer maps the paper’s quantum free-energy
principle (qFEP) and quantum reference frame (QRF) equations into finite operational surrogates, bridging each paper
equation to a specific software artifact. The computed artifacts are a suite of finite quantum-information and contextuality
audits — spanning two-qubit separability and entanglement entropy, Bell and contextuality witnesses, thermodynamic and
open-system dynamics, seeded quantum-trajectory sampling checked against exact solutions, and frame-covariance checks for
the quantum reference frame relabelings — with explicit positive controls, negative controls, or boundary checks recorded
where the corresponding artifact contract requires them. The software represents QRF deployments as policies over boundary-
channel sectorisations, using the same finite bitstream under self/environment/contextual relabelings so that QRF labels can
organize prediction, action selection, and transformation covariance while failing to become evidence for an ontological
self/world boundary. Bayesian model reduction is implemented as a sweep over prior precision and metacognitive access,
extended with a sensitivity grid over observation noise. The separation prior is pruned only when removing it lowers the
model’s free energy, and kept when its remaining contribution to accuracy still offsets its complexity cost. The active-inference
layer uses the inferactively-pymdp library [Heins et al., 2022] with profile-specific likelihood, transition, preference, and prior
arrays for the separation-constrained, opacified, and post-dual quantum reference frame deployments, then records posterior
beliefs, policy posteriors, selected actions, expected-free-energy summaries, seeded stochastic ensembles with null controls
and replay seeds, and confidence intervals, without treating those simulations as empirical subject data. Practice protocols,
compassion-policy scope, criticality-style indicators, quantum-boundary dynamics, empirical adapters, and artifact-release
readiness are therefore written as bounded model interfaces, simulated indicators, local private release-readiness records, or
blocked evidence classes. A physical realization of the quantum free-energy principle, public independent reproduction, and
any human practice eﬀicacy, neural measurement, or clinical outcome remain blocked future evidence classes.
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2
Introduction
2.1
No-Self-Evidence as a Finite Boundary-Screen Problem
Sandved-Smith et al. [Sandved-Smith et al., 2026] argue that a finite agent can self-evidence through its generative model
while never obtaining evidence for the ontological reality of its own boundary. This no-self-evidence problem is the formal
target operationalized here.
The software turns the argument into an executable boundary discipline by holding three
operations apart that prose usually runs together: using a boundary channel for prediction, labeling that channel with a
quantum reference frame (QRF) sector, and treating the label as though it had ontological support. The first operation is
licensed, the second is a model-indexing choice, and the third is the move the bitstream cannot underwrite.
A quantum reference frame (QRF), as used here, is a frame-dependent sector labeling over the same finite boundary bitstream.
It is a bookkeeping choice that says how a model reads the screen, not a claim that the software has implemented a physical
quantum reference frame or discovered a physical observer boundary. Physical QRF work concerns transformations between
quantum reference systems; this manuscript uses that literature only as a boundary for what the finite relabeling surrogate is
not claiming [Giacomini et al., 2019, Vanrietvelde et al., 2020, Bartlett et al., 2007]. The finite boundary screen is written as
B = {b0, b1, b2, b3, b4, b5}. Each b_i is a software observation channel that can carry a bitstream, not a discovered
biological sensor, physical boundary qubit, or ontological sector.
Three terms therefore need to be read in the narrow model-theoretic sense used throughout the manuscript. Agency means
action-contingency inside the finite model: selected actions make some boundary channels easier to predict by lowering
prediction error under the declared generative model. Care means the b5 care-salience cue and the later policy-scope proxy
input; it is not moral compassion, a validated affective measure, or evidence of contemplative concern. The three modes
are QRF deployments, not psychological stages or realized states: separation_constrained, opacified, and post_dual.
What changes across them is the sector label assigned to each channel, the metacognitive-access parameter, the separation-
prior precision, the generative-model priors and preferences, and therefore the frequencies of selected actions. What does
not change is the evidenced object: the same observed b0-b5 bitstream remains the boundary data each deployment has to
organize.
The six-channel screen is the smallest current surrogate that can carry the six distinct interface cues needed by the three
profile relabelings: b0 is a body-controllability cue, b1 an action-contingency cue, b2 a distal-world cue, b3 a contextual-world
cue, b4 an other-agent cue, and b5 a care-salience cue. These six cues make the model readable while keeping the evidenced
object fixed: the bit carried by each channel. They are not six ontological sectors, and their names add no evidence that any
channel belongs to a real self, a real environment, or a real interpersonal field.
The sector labels are deliberately operational. Self marks channels treated as belonging to the modeled agent under a given
QRF deployment. Action marks a channel whose changes are conditioned by selected policy. Body marks controllability
without making a biological-body claim. Environment or env marks the residual non-self field in the dual profile. World
marks contextual non-self structure after the self/environment cut is no longer privileged. Other marks a non-self agent-like
cue. Care marks a salience cue used by the bounded compassion-scope proxy. Each label is a model-indexing variable: it
changes how the finite model organizes prediction, not what the bitstream proves about reality.
The figures use the same restricted vocabulary. An analytical/a-priori map defines a permission, label space, or equation
binding. A deterministic finite audit reports a fixed software computation with controls. A pymdp profile simulation is
reserved for the later active-inference A, B, C, and D arrays, policy traces, and posterior summaries. A seeded stochastic
robustness figure adds replayable sampling, null controls, or intervals around a finite simulator.
A governance/practice
boundary artifact audits claims, sources, protocols, or validation without adding outcome evidence. These roles are method
labels, not evidence-class upgrades.
The central QRF move is to partition the same six channels in more than one way. As laid out in fig. 1, the separation-
constrained profile sends b0,b1,b5 -> self and b2,b3,b4 -> env, so sigma imposes a dual self/environment reading on
the screen. The opacified profile sends b0 -> self, b1 -> action, b2,b3 -> env, b4 -> other, and b5 -> care, so some
channels stay dual while others become inspectable as action, other, and care labels. The post-dual profile sends b0 ->
body, b1 -> action, b2,b3 -> world, b4 -> other, and b5 -> care, organizing the same bitstream with no privileged
self/environment cut. These are three carvings of one interface, not three competing measurements of what the interface
ultimately is.
The same six channels are shown geometrically in fig. 2 before the results section audits their behavior. The figure should
be read as the object the rest of the manuscript manipulates: action enters a finite boundary screen, observations leave it as
b0-b5 bits, and the surrounding role labels make the software channels legible without turning them into empirical sensors
or ontological parts.
That distinction is the whole argument, and fig. 3 states it as a permission rule. A partition changes the model’s organization:
which priors are admissible, which transitions count as action-contingent, which observations are preferred, and which policies
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Figure 1: The QRF sector situation for early reading, showing one shared boundary screen of channels b0-b5 read through
three sector lenses. A top row of cells carries the evidenced observation symbols, dotted vertical lines tie each bit to the
separation-constrained, opacified, and post-dual lens rows below, a legend maps each lens color to a sector label, and a
per-lens sector count records how finely each lens carves the screen, so the figure shows that the partitioning changes while
the evidenced bitstream and its claim boundary stay finite software surrogates rather than empirical, neural, ontological, or
physical qFEP evidence.
Figure 2: Finite QRF boundary-screen geometry for the lead boundary result. Dashed screen, node labels, action edge,
observation edge, and channel-role text show how b0-b5 function as software observation channels while preserving the
boundary claim that no node or edge is empirical, biological, ontological self/world, or physical qFEP evidence.
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become cheap or costly under expected free energy. So a frame is unambiguously useful. But if two admissible partitions are
defined over the same bitstream, the bitstream cannot by itself certify an ontological self/world boundary or decide which
partition is real. Boundary use and boundary ontology are different evidential objects: the project therefore treats QRF
sector labels as model-indexing variables and treats Bayesian model reduction as a comparison over useful priors, not as a
metaphysical removal of a self.
Figure 3: Boundary use versus boundary ontology rendered as a stepwise permission diagram for the no-self-evidence claim.
Step 1 shows the shared finite b0-b5 bitstream as the only evidenced object; Step 2 licenses reading those same bits through
admissible QRF sector labels for prediction, policy selection, and model comparison when the equal-distribution audit passes;
Step 3 blocks treating any chosen sector frame as a real self/world boundary because the perturbation control fails. Color
encodes the licensed and blocked lanes, while the legend names the two verdicts, keeping the figure a finite software audit
and not empirical, neural, clinical, practice-eﬀicacy, or physical qFEP evidence.
The manuscript therefore reads the paper as a formal specification for finite tests rather than as a vocabulary to be illustrated.
Source provenance anchors what is being recapitulated, the equation registry records which expressions are computable
surrogates, and the simulation layer asks how separation priors, QRF relabelings, Bayesian model reduction, replayed active-
inference traces, seeded stochastic ensembles, and finite open-system quantum surrogates behave under explicit arrays. The
finite QRF boundary screen is defined in sec. 3.2, its lead audits appear in sec. 4.1, and the implemented finite quantum
extension engines that extend it without changing the evidence class are defined in sec. 3.1.
This framing also fixes the role of scholarship. Active-inference and Markov-blanket sources make the generative-model and
boundary vocabulary precise, including the critique and response literature that warns against unqualified moves from sparse
coupling or FEP formalisms to real-world boundary ontology [Friston et al., 2023, Aguilera et al., 2022, Biehl et al., 2021,
Heins and Da Costa, 2022]. Quantum-information, QRF, contextuality, and quantum-trajectory sources make the finite
simulations mathematically legible; contemplative and Buddhist sources constrain terminology at the interface to practice.
None of those source roles is allowed to substitute for the missing evidence class that would be required to claim realization,
clinical benefit, neural measurement, or physical quantum free-energy principle (qFEP) confirmation.
The mapping from the source paper to this software is a recapitulation scope rather than a reproduction of the physics. The
paper’s qFEP section and its equations 1-6 map to the equation registry and the finite quantum and contextuality engines;
the no-self-evidence section maps to the QRF boundary-screen indistinguishability audit; the separation-to-emptiness section
maps to the separation prior sigma and the Bayesian model reduction sweep; the post-dual agent section maps to the post-dual
pymdp profile and the finite solution-set containment over equations 13 and 14; and the discussion themes of contextuality,
compassion, and criticality map to the finite contextuality engines, the policy-scope-of-concern surrogate, and the measured
branching and avalanche signatures. Each mapped row is a finite software surrogate with a declared evidence ceiling, never
a claim that the underlying physical or contemplative phenomenon has been realized. A generated row-by-row map from
paper equations 1-14 to artifacts and gates is maintained in the equation crosswalk reference document.
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2.2
Finite Surrogates over Literal Quantum Simulation
The implementation does not attempt a literal quantum simulation of the universe-agent boundary.
Instead, it builds
finite surrogates that preserve the paper’s inferential roles: boundary screens, QRF deployments, separation priors, model
reduction, and post-dual policy flexibility. This lets the software clarify the evidential boundary without strengthening it: a
useful simulated partition is still not evidence for a real self/world partition.
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3
Methods
The methods build the finite chain in dependency order: an equation registry and implemented finite quantum extension
engines fix the formal layer and its claim ceilings, the finite QRF boundary screen and its relabeling semantics define the
core object, the separation prior and its Bayesian model reduction sweep give the self/environment cut its life-cycle, and
the profile-specific pymdp generative models instantiate the three QRF deployments as finite arrays and traces. Figures are
read through five method roles. Analytical/a-priori maps define admissible labels, equations, claim boundaries, or reader
permissions. Deterministic finite audits report fixed-grid, fixed-seed, or linear-algebra computations with explicit controls.
pymdp profile simulations use the pinned active-inference runtime surface and local A, B, C, and D arrays to replay profile
traces. Seeded stochastic robustness figures expose replayable ensembles, bootstrap/permutation summaries, or trajectory
convergence checks. Governance/practice boundary artifacts document sources, claims, protocols, validation, or release limits
without adding evidence of eﬀicacy. The source-role scholarship, claim-evidence ceilings, seeded criticality and compassion-
scope proxies, and bounded practice protocols that govern and extend this chain are collected in the supplement so the main
methods stay on the no-self-evidence spine.
3.1
Equation Registry and Finite qFEP Engines
Every symbol introduced in this subsection — the sectorisation map, the boundary screen, the separation prior, the free-
energy terms, and the finite quantum quantities — is defined, with its natural-language name and a short description, in
the symbol and variable glossary (sec. 7.1). Readers meeting a symbol for the first time should treat that glossary as the
canonical reference; the prose here introduces each symbol only where it is first used.
The equation registry covers paper equations 1-14. Each row records the paper section, formal expression, computability
status, operational status, paper-to-software bridge, validation artifact, and interpretive boundary. The registry therefore
treats the source paper as a formal specification rather than as a set of slogans to be reproduced in code. The operational
status map is retained as supplemental governance material so the first numbered result can present the finite QRF boundary
model directly.
For stable internal reference, the registry file records all fourteen source equations, while the manuscript anchors the QRF
rows used repeatedly by the boundary-channel argument. The sectorisation map 𝑄sends boundary states 𝐵to sector labels
𝑆𝑄:
𝑄∶𝐵→𝑆𝑄
(1)
The frame-restricted model 𝑀𝑄reproduces the coarse-grained observation likelihood of the full model under that sectorisation:
𝑃( ̄𝑜∣𝑀𝑄) = 𝑃( ̄𝑜∣𝑄, 𝑀)
(2)
Two sectors 𝑄𝑖and 𝑄𝑗are indistinguishable when they induce the same observation distribution:
𝑃(𝑜∣𝑄𝑖) = 𝑃(𝑜∣𝑄𝑗)
(3)
The separation prior 𝜎restricts admissible sectorisations to a subspace 𝑄𝜎:
𝜎∶𝑄→𝑄𝜎⊂𝑄
(4)
These anchors are manuscript reference targets for the finite registry, not a replacement for the source paper’s formal
derivations.
The resulting formal layer has three kinds of rows. First, computable active-inference rows become finite surrogates over
boundary channels, QRF sector labels, profile-conditioned scores, separation-prior admissibility, and free-energy comparisons.
The free-energy rows include a worked complexity decomposition for registry equation 6, a Kullback-Leibler complexity
surrogate for registry equation 11, and a solution-set containment audit for registry equations 13 and 14 whose discriminating
negative control is a strict-superset witness.
Second, quantum-information rows that can be represented faithfully in a small Hilbert space are simulated directly as finite
controls. Each engine records a primary quantity together with a positive control and a discriminating negative control;
the full per-engine construction, controls, and claim boundary live in sec. 7.2, and the entries below name each engine and
forward to that audit:
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• a Schmidt-family two-qubit sweep recording reduced von Neumann entropy, mutual information, Clauser-Horne-
Shimony-Holt (CHSH) witness strength, contextual-fraction scaling, local-basis entropy invariance, and a Landauer-
scaled erasure lower bound;
• a mixed-state audit adding positive-partial-transpose (PPT) and negativity controls for separable, Bell, and Werner-
family cases [Peres, 1996, Horodecki et al., 1996, Werner, 1989], extended by a multipartite witness suite over three-party
cuts [Greenberger et al., 1989];
• a CHSH measurement-cover table recording context-by-outcome joint probabilities, no-signaling marginals, product-
control locality, Tsirelson-bound saturation [Cirel’son, 1980], and local-hidden-variable polytope feasibility over the
sixteen deterministic assignments following the joint-probability/local-polytope reading of Bell inequalities [Fine, 1982],
with a general measurement-cover parser and a no-signaling scenario library repeating the linear-program (LP) test for
triangle, parity, CHSH-product, CHSH-Bell, and n-cycle scenarios [Araújo et al., 2013];
• finite completely-positive trace-preserving (CPTP) channels recording entropy-change and Landauer lower-bound sum-
maries [Kraus, 1983, Nielsen and Chuang, 2010], a finite dephasing channel recording trace preservation, positivity,
entropy production, mutual-information contraction, and CHSH decay, and a collision-model thermalisation engine
recording relaxation toward a fixed point.
Third, the implemented extension methods are finite software engines, again with their full construction and controls in
sec. 7.2:
• a two-qubit boundary-Hamiltonian Lindblad audit following Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) trace
and positivity constraints [Gorini et al., 1976, Lindblad, 1976, Manzano, 2020];
• seeded quantum-trajectory unraveling that samples jump and no-jump Monte Carlo wave functions and compares the
ensemble density with exact Lindblad evolution using the Monte Carlo wave-function literature as the methodological
anchor [Dalibard et al., 1992, Mølmer et al., 1993, Plenio and Knight, 1998, Wiseman and Milburn, 2010];
• exact and sparse boundary-screen sweeps that test cut sensitivity as many-body precursors to tensor-network scaling,
with a matrix-product-state tensor-network benchmark recording entanglement-bounded compression error [Eisert et al.,
2010, Orus, 2014];
• an internal-cut unmeasurability audit and a contextuality-suppression audit that operationalise the source paper’s
internal-boundary and contextuality-suppression sections;
• sheaf and measurement-cover LP audits that distinguish noncontextual global sections from obstruction cases [Kochen
and Specker, 1967, Abramsky and Brandenburger, 2011];
• QRF covariance audits that test probability-preserving relabelings and finite unitary and permutation frame transforms
[Giacomini et al., 2019, Vanrietvelde et al., 2020, Höhn et al., 2021, Bartlett et al., 2007];
• an empirical adapter provenance audit that requires source identity, preprocessing, null models, and preregistration-
oriented governance before any human claim [Wilkinson et al., 2016, Nosek et al., 2018].
This structure makes qfep_surrogate_scope narrower and more useful. The claims quantum_separability_entropy, quan
tum_contextuality_witness, quantum_measurement_contextuality, and quantum_open_system_dephasing are allowed
because they point to audited finite quantum artifacts and pass negative controls. The additional implemented extension
artifacts add stronger software validation and more adversarial failure cases, but the prohibited inference remains explicit:
none of these finite engines is physical qFEP realization, empirical practice evidence, neural measurement, or evidence for
contemplative attainment.
3.2
Finite QRF Boundary Screen and Relabeling Rules
QRF deployments are represented as assignments from boundary channels to semantic sectors. A deployment contains a
sector label per boundary bit, a metacognitive-access parameter, and a separation-prior precision. The separation-constrained
profile restricts labels to the dual self and env sectors; the opacified profile mixes dual and contextual labels; the post-dual
profile searches a richer sector vocabulary over body, action, world, other, and care.
The shipped profile table is fixed by src/simulation/qrf_env.py:default_deployments:
profile
b0-b5 sector
labels
metacognitive access
separation-prior
precision
operational
reading
policy
consequence
separation_co
nstrained
self,self,env
,env,env,self
0.0
4.0
dual self/env
reading; action-
contingency and
care-salience
remain folded
into the self side
of sigma
tends to
stabilize the
dual prior when
the action-
contingent
stream is
predictable
8

## Page 10

profile
b0-b5 sector
labels
metacognitive access
separation-prior
precision
operational
reading
policy
consequence
opacified
self,action,e
nv,env,other,
care
0.55
2.0
action, other,
and care become
inspectable
while some dual
structure
remains
makes boundary
inspection
cheaper without
fully releasing
the separation
prior
post_dual
body,action,w
orld,world,ot
her,care
1.0
0.2
the
self/environment
cut is treated as
revisable rather
than privileged
favors releasing
the separation
prior when the
contextual
profile predicts
well
The finite QRF surrogate is intentionally small enough to audit. Six binary boundary channels define the screen, written
b0 through b5 in the ledger artifact. Each b_i is a software observation channel that can carry a binary bit; it is not a
biological sensor, a physical qubit on an organism, or evidence that a real boundary has been found. The ledger assigns finite
surrogate roles to the channels: b0 is a body-controllability cue, b1 an action-contingency cue, b2 a distal-world cue, b3 a
contextual-world cue, b4 an other-agent cue, and b5 a care-salience cue. These roles make the simulation readable, but the
evidenced object remains the same bit b_i across all QRF deployments.
Equations eq. 1, eq. 2, eq. 3, and eq. 4 are therefore implemented as an explicit distinction between channel and label. eq. 1
maps the boundary channels into a sectorisation; eq. 2 keeps model evidence conditional on the chosen QRF; eq. 3 blocks
the inference from observed bitstream to ontological sector; eq. 4 represents sigma as the prior that restricts admissible
QRF deployments to Q_sigma. The b0-b5 ledger records the sector label assigned to every channel under the separation-
constrained, opacified, and post-dual profiles, while also recording that the evidence object is invariant. This draws on QRF,
perspective-neutral frame, and Markov-blanket boundary scholarship while keeping the software object distinct from either
a full quantum reference-frame transformation or an empirical biological boundary; the FEP critique and response literature
is cited here precisely to keep that distinction visible [Giacomini et al., 2019, Vanrietvelde et al., 2020, Kirchhoff et al., 2018,
Hipolito et al., 2021, Aguilera et al., 2022, Biehl et al., 2021, Heins and Da Costa, 2022].
The key QRF test is not whether one label vocabulary sounds philosophically preferable. It is whether admissible relabelings
alter the finite boundary bitstream distribution. The boundary-indistinguishability audit therefore holds the observation
distribution fixed across admissible sectorisations and includes a perturbation that must fail. This is the software analogue
of the paper’s claim that boundary use and boundary ontology are not the same evidential object.
The lead QRF figures are generated from the same artifacts rather than drawn as free-standing schematics. The boundary-
screen geometry in fig. 2 maps nodes, action edges, observation edges, and channel-role labels to qrf_boundary_channel_
ledger.json; the relabeling ledger in fig. 4 maps b0-b5 channel rows and profile-specific sector colors to the same ledger
and equations eq. 1, eq. 2, eq. 3, and eq. 4; the invariance and policy-flow audit in fig. 5 maps admissible probability bars,
the failing perturbation control, and selected action counts to qrf_boundary_indistinguishability.json and the profile-
specific active-inference comparison. The transformation-covariance audits reported in sec. 7.2 extend this same discipline
to finite probability-preserving relabelings: admissible maps must preserve mass and expectation under relabeling, while
mass-gain and negative-entry controls must fail.
3.3
Separation Prior as a Restricted QRF Subspace
The separation prior is represented as a structural precision over the admissible QRF subspace.
A high-precision prior
restricts sectorisations to self/environment labels; an opacified prior becomes inspectable; a post-dual profile optimizes over
the full deployment set.
The model treats the prior as useful before it is treated as dispensable. At low metacognitive access, the dual partition
can still buy accuracy by stabilizing prediction over a limited boundary screen. At higher access, the same prior carries
complexity cost while contributing less accuracy. This is why the software compares full and reduced models rather than
assuming that the separation prior should always be removed.
The emergence half of this life-cycle is operationalized separately from the Bayesian model reduction pruning. Section 4.1 of
the source argues that a factored self/environment model outperforms an unfactored alternative at predicting the consequences
of the agent’s own actions precisely when boundary channels are action-contingent. The emergence audit constructs a finite
boundary stream in which a controllable fraction of channels become deterministic functions of the selected action, then
9

## Page 11

compares a factored predictor that action-conditions the self channels against an unfactored predictor that ignores the split.
This emergence audit is a positive-control-style correctness check rather than a falsifiable test: the action-contingent channels
are built as deterministic functions of the selected action, so a predictor that action-conditions them necessarily recovers them
and the advantage’s rise with empowerment is expected by construction. The zero-empowerment row is correspondingly an
identity baseline, not a discriminating control: with an empty self/environment split the factored and unfactored predictors
reduce to the same computation, so their advantage is necessarily zero there. The audit’s genuine content is a check that the
advantage stays at zero when no channel is action-contingent and tracks the number of action-contingent channels, which
would break only if the predictors were mis-specified; it is not an adversarial null against the separation-prior mechanism.
The measured emergence and life-cycle figures are reported in sec. 4.3, where they can be read as results rather than as
method definitions.
The dispensable end of the life-cycle is operationalized by a separate ongoing-revision audit, following Sections 5.2 and 5.3 of
the source. It constructs a non-stationary boundary stream whose useful sectorisation flips at a midpoint regime change, then
compares a rigid agent locked to one sectorisation against a post-dual agent that re-selects the sectorisation by measured
accuracy each window, action-conditioning a channel only when doing so materially lowers its error. The discriminating
negative control is a stationary stream run with identical machinery: the revising agent’s advantage jumps at the regime
change on the non-stationary stream but records no such jump when the stream does not change, which attributes the gain
to revision under change rather than to generic adaptive overfitting. The measured revision dynamics are reported in sec. 4.3
and interpreted in sec. 5.1; this is a finite toy non-stationary stream and not a claim of realized awakening, impermanence
insight, or a zero-person perspective.
Emergence and pruning together trace the source paper’s full account of the separation prior as useful when agency is present,
habitually reinforced, and later dispensable. Reading the Bayesian model reduction sweep as the prior’s net value, the free-
energy change when the prior is removed, against metacognitive access records a useful-to-dispensable arc for the weakest
admissible prior precision. Stronger priors over-commit and are pruned throughout, so the life-cycle finding must be reported
as an in-model result rather than as a guaranteed monotone story, and it carries no developmental, neural, contemplative, or
clinical reading.
3.4
Bayesian Model Reduction over the Separation Prior
The Bayesian model reduction (BMR) sweep implements the paper’s free-energy comparison as Delta free energy equals Delta
complexity minus Delta accuracy [Friston et al., 2018]. Removal is favored when metacognitive access makes the separation
prior’s accuracy contribution dispensable while the complexity cost remains.
The expanded simulation layer adds a sensitivity grid over observation noise, prior precision, and metacognitive access.
This grid asks whether the qualitative reduction result survives a broader deterministic parameter surface. A companion
alternative-prior audit follows Bayesian workflow and simulation-checking practice by comparing the baseline prior family
with a log-compressed sigma-complexity penalty and a convex access-dependent sigma-accuracy bonus [Talts et al., 2018,
Gelman et al., 2020]. It does not transform the surrogate into empirical evidence; it makes the model’s local assumptions
inspectable and gives future work a place to attach richer agents, empirical adapters, or externally reviewed priors.
3.5
Profile-Specific pymdp Generative Models
The pymdp simulation is checked in four linked layers [Heins et al., 2022, Da Costa et al., 2020]. First, a pinned-runtime
dependency check verifies inferactively-pymdp==1.0.3, imports the JAX-first Agent and utils surface, constructs a small
agent, runs state inference, and confirms policy-posterior normalization. Second, the generative-model audit gives each QRF
profile explicit A, B, C, and D arrays, with A mapping hidden QRF state to boundary cue, B encoding action-conditioned
transitions, C encoding preferences, and D encoding the initial prior.
Third, the deterministic policy trace and runtime
diagnostics log record posterior state beliefs, policy posteriors, expected-free-energy terms, per-step variational free energy,
belief and policy-posterior entropies, selected action labels, perturbation flags, model hashes, normalization residuals, replay
metadata, and row-level recomputation checks against the saved arrays; the log additionally binds its manual temporal-prior
step to the library’s own update_empirical_prior so the numpy-transparent shortcut cannot diverge from the pymdp
convention, and every diagnostic control is pinned by an explicit required-key contract so a narrowed control set fails closed
rather than passing vacuously. Fourth, the seeded stochastic ensemble samples from the same normalized profile models and
compares profile behavior with null controls.
The policy loop then runs multi-step state inference, policy inference, action selection, observation perturbation, expected-
free-energy proxy decomposition, and posterior normalization checks.
The action vocabulary is deliberately tied to the
QRF formalism: stabilize_dual, inspect_boundary, and release_prior. stabilize_dual is the action whose transition
tensor pulls probability mass back toward the dual separation-constrained state. inspect_boundary keeps the opacified state
available and permits movement toward either the dual or contextual reading. release_prior moves probability toward the
10

## Page 12

contextual/post-dual state, with the strength of that movement controlled by the profile’s transition-relaxation parameter.
These action labels are finite transition operators, not reports of inner experience.
Profile-specific action differences enter through the A, B, C, and D arrays. A combines the profile’s likelihood confidence with
contextual bias from metacognitive access; B encodes the three action-conditioned transition tensors and the profile’s transition
relaxation; C stores the profile preference vector over observations; and D stores the profile’s initial state prior. The same
policy loop can therefore select different actions across profiles because their priors, preferences, and transition costs make
different policies cheap or costly under expected free energy. This makes expected-free-energy policy selection inspectable in
the same register as the BMR comparison, while preserving the fact that the loop ranks finite software deployments rather
than ontologies [Friston et al., 2015, Parr et al., 2022]. The loop is a single-step perception-action cycle (policy length one)
iterated over time steps with a fixed generative model; multi-step policy planning and parameter learning are intentionally
outside the v1 finite surrogate, so the static model is a deliberate design choice rather than an omission.
The runtime dependency check is intentionally limited.
It verifies that the expected package version, backend imports,
agent construction, state inference, and policy posterior normalization are live in the current environment.
The paper-
specific comparison remains in local modules so that QRF labels, separation-prior parameters, source-boundary language,
and expected-free-energy decomposition can be rederived by the validator rather than hidden inside a black-box runtime call.
The stochastic ensemble uses the same expected-free-energy utility as the deterministic trace. Hidden states, observations,
and actions are sampled from the normalized profile-specific A, B, C, and D arrays, while null controls replace the policy-
conditioned observation and action channels with uniform draws. The generated ensemble uses 128 replayed runs per profile
over 48 sampled steps, yielding 36864 profile/null rows for finite robustness checks. Replayable seeds make the ensemble
stochastic rather than arbitrary: a fixed seed reproduces run rows exactly, a changed seed changes sampled paths, and
posterior normalization is checked at every sampled step. The robustness layer then compares profile rows with null rows
using bootstrap intervals [Efron, 1979], permutation contrasts with Holm correction for multiple profile-metric comparisons
[Holm, 1979], and Cliff’s-delta dominance effect sizes [Cliff, 1993]. These statistics quantify finite simulation separation and
uncertainty; they do not convert the simulation into human, neural, clinical, practice-eﬀicacy, or physical qFEP evidence.
11

## Page 13

4
Results
The results follow the no-self-evidence chain: the QRF boundary geometry and indistinguishability audit show, within the
finite ledger, that the same bitstream supports several admissible sector frames; a finite quantum scope summary places the
implemented extension engines; the Bayesian model reduction pruning and sensitivity behavior trace the separation prior
from useful to dispensable; and the pymdp policy traces implement the profiles as finite generative-model runs. The claim-
context, criticality, compassion, scholarship, and visualization governance surfaces that keep every finite output below its
evidence ceiling are reported in the supplement rather than in the main result sequence.
4.1
Boundary Geometry and QRF Indistinguishability
The boundary result is now separated into a reader-facing screen definition and two linked result figures so that the same
object is not compressed into one panel. The geometric object is introduced in fig. 2: b0-b5 are software observation channels
on a finite boundary screen, action enters the screen, and observation leaves it. The result here is what that screen permits
after it has been defined: the relabeling ledger and policy-flow audit show how QRF sector labels organize the same bits
without turning nodes, labels, or edges into biological sensors, physical quantum-reference-frame systems, or discovered
ontological sectors [Giacomini et al., 2019, Vanrietvelde et al., 2020].
The second step is the paper’s no-self-evidence point in ledger form. fig. 4 keeps the evidenced row fixed as b_i same bit,
then displays how the separation-constrained, opacified, and post-dual profiles relabel those same channels into self, env,
action, body, world, other, and care sectors. The matrix is intentionally text-labeled as well as colored: the same bitstream
can support different QRF partitions, so the partition organizes the model without becoming evidence for the partition’s
ontology.
Figure 4: b0-b5 QRF channel relabeling ledger for equations 7-10. The invariant same-bit row marks each evidenced boundary
bit, while profile rows relabel those unchanged channels as self, env, action, body, world, other, or care; colors and text encode
software sectors only and are not evidence for an ontological self/world boundary.
The third step checks that the relabeling discipline is operational rather than merely diagrammatic. fig. 5 shows that all
admissible deployments preserve normalized boundary probability mass while the perturbation control fails, then shows
that profile-specific policy selection still acts through the same audited screen. The right panel therefore reports model
organization and action selection under different QRF profiles; it does not upgrade the sector labels into empirical entities.
The same indistinguishability shown here is what licenses frame use without an ontological verdict (fig. 3), and that license
is precisely what lets the separation prior be judged on agency rather than on truth in sec. 3.3.
4.2
Finite Quantum Scope and Blocked Claims
The finite quantum layer defined in sec. 3.1 appears in the main Results only as a scope summary. The source paper’s central
software target remains the no-self-evidence chain: b0-b5 carry observations, QRF deployments relabel the same channels,
sigma restricts admissible deployments, and BMR compares the cost of keeping that restriction. fig. 6 shows which quantum
and contextuality engines support that chain and which stronger readings stay blocked as physical qFEP realization, empirical
observer-boundary measurement, neural evidence, clinical evidence, or practice-eﬀicacy evidence.
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## Page 14

Figure 5: QRF invariance and policy-flow audit over the same finite screen.
Panel A shows admissible deployments at
normalized probability mass with a separate failing perturbation-control marker; Panel B shows profile-specific selected
actions from the pymdp trace. The figure supports finite software validation only, not empirical, biological, ontological, or
physical qFEP evidence.
Figure 6: Finite-quantum scope summary for the main Results. Matrix cell text lists validated finite engines and controls;
the hatched blocked column names empirical, observer-boundary, all-QRF-context, and physical qFEP claims that remain
outside the evidence boundary.
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## Page 15

The detailed witnesses and controls are therefore reported in sec. 7.2 rather than printed as the main result sequence. This
placement is substantive rather than cosmetic: it keeps the main paper aligned with sec. 3.2, sec. 4.1, and sec. 4.3, while
preserving the quantum artifacts as inspectable software support for qfep_surrogate_scope.
4.3
BMR Pruning and Sensitivity Behavior
The BMR sweep records that pruning is not asserted globally. It appears when metacognitive access is high enough that the
separation prior no longer pays for its complexity with additional accuracy. The decomposition panel makes this visible as a
changing relation among Delta complexity, Delta accuracy, and Delta free energy, while fig. 10 exposes the sign convention
across the parameter grid: the free-energy change is the reduced model’s free energy minus the full model’s, so prune means
the reduced model has lower free energy and keep means the separation prior’s accuracy contribution still offsets its complexity
cost.
The sensitivity grid extends the result over observation noise. The current generated run reports 45 BMR cells and 315
sensitivity cells, expanding the finite denominator for the same keep/prune question rather than changing the evidence class.
Across this finite surface, high-access rows prune more consistently than low-access rows, but the analysis remains bounded
to deterministic surrogate behavior. The useful result is not a universal conclusion about subjects or practices.
It is a
parameterized prediction about when the modeled separation prior should become less attractive under the local free-energy
decomposition.
Read as the separation prior’s life-cycle, these sweeps yield concrete measured values. Across the emergence grid the factored-
model advantage rises from 0.0 at zero empowerment, where empowerment is used as a bounded information-theoretic control
surrogate [Klyubin et al., 2005], to 0.453 at full empowerment (fig. 7), and the weakest admissible prior (precision 0.2) crosses
from keep to prune at a metacognitive-access value of approximately 0.56, linearly interpolated between sweep grid points
(fig. 8), while the stronger priors prune throughout. At the dispensable end, the ongoing-revision audit measures a post-regime
advantage jump of +0.21 on the non-stationary stream against -0.02 on a stationary control run with identical machinery,
which attributes the gain to revision under change rather than to generic adaptive overfitting. These are single fixed-seed
deterministic surrogate values, not developmental, neural, contemplative, or clinical measurements.
Figure 7: Separation-prior emergence across the empowerment grid. Lines encode the measured factored (self/env) and
unfactored model prediction error and their dashed advantage curve as the fraction of action-contingent channels rises;
the factored model buys accuracy only when agency is present, and the advantage’s rise with empowerment is expected
by construction, making this a correctness check rather than a discriminating null. It is a finite deterministic predictor
comparison and not a developmental, neural, or empirical empowerment claim.
The robustness resampling audit asks the same question cell by cell after aggregating over observation-noise rows. Bootstrap
intervals summarize reduced-minus-full free-energy stability and pruning-rate stability for each prior-precision/access pair.
This does not make the BMR surface empirical, but it does separate brittle sign changes from cells where the finite surrogate
keeps the same keep/prune direction over the sampled noise surface.
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## Page 16

Figure 8: Life-cycle of the separation prior’s net value, the change in free energy when the prior is removed, against metacog-
nitive access, drawn as one line per prior precision rather than a mean. The bolded arc is the precision whose net value
actually crosses keep to prune (the weakest admissible precision for the current sweep); it starts positive in the shaded keep
region and falls into the shaded prune region as access rises, while the fainter stronger-precision lines stay in the prune region
throughout. The dashed marker locates the useful-to-dispensable crossing, and the figure is a finite software sweep, not a
developmental, neural, contemplative, or clinical claim.
The alternative-prior audit adds a second check on the same lifecycle. It repeats the access and prior-precision grid for the
baseline, a log-compressed sigma-complexity penalty, and a convex access-dependent sigma-accuracy bonus, then records
measured keep/prune verdicts and the weakest-prior crossing for each family. At least one crossing shifts relative to baseline
while high-access rows remain numerically bounded, so the result is traceable to explicit prior-family assumptions rather than
a single hidden parametrization. This is Bayesian workflow accounting over deterministic software rows [Talts et al., 2018,
Gelman et al., 2020], not an empirical power or subject-level inference.
This prune-at-high-access lifecycle (fig. 10) restates the emergence result (fig. 7) as a full life-cycle, useful under restricted
access and then reducible with no residual ontological commitment, and is the behavior the active-inference profiles must
instantiate in sec. 3.5.
4.4
pymdp Profiles and Policy Trace
The active-inference simulation uses profile-specific A, B, C, and D arrays for separation-constrained, opacified, and post-dual
QRF deployments. The generative-model audit records normalized likelihood, transition, preference, and prior arrays for each
profile; the policy trace records hidden-state posteriors, policy posteriors, expected-free-energy terms, variational free energy,
selected actions, perturbation status, and action counts at each step; and the runtime diagnostics log rederives expected-free-
energy terms from the saved arrays, verifies weighted expected free energy as policy_posterior @ expected_free_ener
gy, checks profile/action/observation labels, records model hashes and package/JAX diagnostics, and checks deterministic
replay.
Across the three deployments the post-dual profile minimizes variational free energy at -1.34, below the opacified profile at
-0.94 and the separation-constrained profile at -0.80, so it ranks highest under the finite software posterior; this ranking is
over finite deployments and is not a claim about which ontology is true.
In fig. 13, free energy, posterior mass, and selected actions are plotted side by side with short profile labels, a full-name
legend, an explicit lower-free-energy sign annotation, and an external action legend. The plotted posterior mass is a software
ranking over finite deployments, not a claim about which ontology is true. The posterior trajectory traces how P(contextua
l_post_dual state) evolves under replayed observations and marked perturbation steps; every step is renormalized before
it enters fig. 14. The supplemental runtime dashboard in fig. 49 reports the corresponding residuals and replay controls as
15

## Page 17

Figure 9: BMR free-energy components at high separation-prior precision. The lines show reduced-minus-full Delta F, Delta
complexity, and Delta accuracy over metacognitive access; the dashed zero line is the keep/prune boundary, so the panel
explains the finite model-comparison sign convention without making a human self-model claim.
Figure 10: BMR decision grid over prior precision and metacognitive access. KEEP prior means the full model’s separation
prior still pays for its complexity; PRUNE prior means the reduced model wins because removing that prior lowers free
energy. Cell color encodes Delta F = F_reduced - F_full and cell text gives the decision plus numeric Delta F inside this
finite model-comparison surrogate only.
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## Page 18

Figure 11: Sensitivity grid after averaging over observation-noise rows. Cell labels count how many noise rows favor PRUNE
prior; PRUNE means the reduced model has lower free energy after removing the separation prior. Color encodes mean Delta
F, and the denominator is a finite software robustness grid, not empirical sample size or practice-outcome evidence.
Figure 12: BMR robustness resampling over the prior-precision/access grid. The left panel shows bootstrap pruning rates
over noise rows and the right panel shows Delta-F sign stability with compact confidence intervals; both panels report finite
software robustness only, not human self-model or practice-eﬀicacy claims.
17

## Page 19

validation checks for the software surface, not as empirical evidence.
Figure 13: Active-inference profile comparison for separation-constrained, opacified, and post-dual QRF deployments. Short
labels are resolved in the profile legend, colored bars encode profile free energy and posterior mass, the sign annotation states
that lower free energy ranks higher under the finite software posterior, and the external action legend maps stacked counts
to explicit actions from profile-specific A, B, C, and D arrays; this is not empirical evidence for any ontology or practice
outcome.
Figure 14: Deterministic pymdp posterior trajectory over P(contextual_post_dual state) for each QRF profile. The external
line legend maps short profile labels to full deployment names, hollow square markers identify perturbation steps, and the
axes show a replayed finite trace rather than an empirical time series or evidence for an ontological sector.
These profile comparisons (fig. 13) close the arc opened by the boundary screen (sec. 3.2), implementing each licensed sector
frame as a distinct finite generative model rather than an asserted interpretation.
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## Page 20

5
Discussion
5.1
What the Software Boundary Establishes
The software preserves the paper’s core distinction: a boundary can be useful for prediction without being evidenceable as an
ontological division [Dennett, 1991]. In the finite model, this becomes a contrast between using a boundary screen to generate
observations and treating the sector labels placed on that screen as if they were themselves evidenced by the bitstream. A
boundary channel is therefore an interface variable: it carries observations, supports action-conditioned transitions, and
permits posterior updating. A boundary ontology would be a stronger assertion: it would treat the channel’s self/world
partition as a real division warranted by the evidence. That stronger move is exactly where the FEP and Markov-blanket
literature becomes assumption-sensitive rather than automatic [Friston et al., 2023, Aguilera et al., 2022, Biehl et al., 2021,
Heins and Da Costa, 2022, Seth and Bayne, 2022]. The project makes boundary use executable and blocks boundary ontology
unless an external evidence class supplies it.
The through-line is boundary use, QRF relabeling, separation-prior emergence, BMR pruning, and post-dual revision. First,
the screen supplies a finite interface that can be used for prediction. Second, quantum reference frame (QRF) relabeling
records that the same interface can be organized by more than one sector vocabulary. Third, the separation prior becomes
useful only when the stream contains agency, because action-contingent channels give the factored model something real to
predict. Fourth, Bayesian model reduction (BMR) prunes the prior when access is high enough that the prior’s complexity
cost no longer pays for itself. Fifth, the post-dual profile treats sectorisation as revisable under changing streams rather than
as a final metaphysical conclusion. The point is cumulative: finite success changes model organization, not the evidence class.
The agent acts differently across the three profiles for ordinary active-inference reasons. The observed boundary stream
is the same kind of evidence object, but each profile supplies different sector labels, metacognitive access, prior precision,
observation preferences, initial state priors, and action-conditioned transition relaxation. Under expected free energy, those
arrays make stabilize_dual, inspect_boundary, and release_prior differently costly or attractive. The resulting action-
frequency differences are therefore model-internal consequences of the declared A, B, C, and D arrays, not behavioral evidence
that a subject has moved through psychological, contemplative, or ontological stages.
QRF labels are handled in the same way. The labels self, environment, body, world, action, other, and care are permitted as
relabelings of a finite screen, and fig. 2, fig. 4, and fig. 5 separate the three required steps: define the screen, relabel the same
channels, and verify that admissible relabeling preserves the audited marginal distribution while policy selection changes
model organization. That is not a weakness of the implementation. It is the software version of the no-self-evidence point. If
the same bitstream supports multiple admissible sectorisations, then the label helps the model organize prediction without
becoming evidence for the label’s ontology. The QRF literature supports the discipline of frame-dependent description and
transformation; in this project it does not erase the difference between a finite relabeling audit and a physical quantum-
reference-frame construction [Giacomini et al., 2019, Vanrietvelde et al., 2020, Bartlett et al., 2007].
The b0-b5 ledger makes that distinction concrete. In fig. 4, b0 through b5 are not six little selves, six physical boundary
qubits, or six hidden ontological sectors. They are six software channels that make eq. 1 executable as a map from boundary
bits to sector labels. The same b_i can be labeled self/env under sigma, partially opacified into action/other/care labels,
or relabeled as body/action/world/other/care in the post-dual profile. eq. 2 says that model evidence is conditional on the
QRF choice; eq. 3 says the observed bitstream cannot differentially prove one QRF sectorisation as the real one; eq. 4 says
sigma restricts the space of admissible relabelings. The ledger is therefore the visual grammar of the paper’s core point: the
model may use boundaries, but the boundary’s ontological privilege is not among the data.
BMR gives the project a second boundary between use and ontology. A separation prior can remain in the full model when
its accuracy contribution offsets its complexity cost, and it can be pruned when removing it lowers the model’s free energy.
Neither result is a metaphysical verdict. Keep means the local modeled prior is still useful under the finite generative model;
prune means the reduced model wins the declared comparison. The caption and cell labels in fig. 10 are intentionally explicit
because an ambiguous sign convention would otherwise invite an overclaim about removing the self rather than reporting a
model-comparison result.
The separation-prior emergence and net-value figures are therefore not decorative. They are the bridge between the QRF
screen and the BMR decision. The emergence grid asks whether a factored self/environment model earns predictive accuracy
when action-contingent channels exist; the net-value curve asks when the modeled prior stops paying for itself as metacognitive
access increases. Together they clarify what the software establishes is narrower than the vocabulary it makes inspectable.
It establishes a local relation among action-contingency, prediction error, and free-energy comparison inside a finite model.
Inside that finite software boundary, it does not establish a developmental trajectory, neural event, contemplative attainment,
or clinical outcome.
The post-dual agent is modeled as a revising rather than a settled state, following Sections 5.2 and 5.3. The ongoing-revision
audit constructs a non-stationary boundary stream whose useful sectorisation flips at a regime change, then compares a
rigid agent locked to one sectorisation against a post-dual agent that re-selects the sectorisation by measured accuracy each
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## Page 21

window. The revising agent’s advantage jumps at the regime change, while a stationary stream run with identical machinery
records no such jump, which is the discriminating negative control that attributes the gain to revision under change rather
than to generic adaptive overfitting. This treats boundary designations as revisable hypotheses, deployed when useful and
abandoned when stale. It is a finite toy non-stationary stream modeling revision dynamics, explicitly not a claim of realized
awakening, impermanence insight, or a zero-person perspective.
The no-self and emptiness vocabulary is likewise bounded.
The software result can be read as a finite analogy to anti-
essentialist readings of Madhyamaka: the modeled boundary can be useful while lacking privileged support as an intrinsically
real self/world division [Siderits and Katsura, 2013, Westerhoff, 2009]. Within this finite evidence boundary, the result is not
a claim of Buddhist realization, elimination of all useful self-models, or settlement of phenomenological claims about minimal
or prereflective selfhood [Zahavi, 2005]. The project therefore treats “no self-evidence” as an evidential boundary inside a
finite formalism, not as a global doctrine about consciousness.
The stochastic simulations sharpen this boundary rather than weakening it. Seeded active-inference ensembles sample hidden-
state transitions, observations, and actions from normalized profile-specific distributions, and seeded quantum trajectories
sample jump/no-jump paths that reconstruct finite Lindblad densities within declared tolerance. The quantum-trajectory
sources justify the algorithmic move from master-equation density evolution to sampled wave-function paths; they do not
turn the finite two-qubit surrogate into a physical realization of the source paper. These are real stochastic simulations in the
software sense: they use replayable random seeds, null controls, confidence intervals, and distributional checks rather than
deterministic summaries alone. They are not empirical data. The evidence ceiling therefore stays intact: stochastic variability
can test robustness of a formal surrogate, but it cannot establish neural criticality, contemplative realization, clinical benefit,
compassion eﬀicacy, or physical qFEP realization.
That distinction is the conceptual hinge of the project. If a separation prior improves prediction under limited access, the
model is allowed to use it. If later model comparison favors a reduced prior, the software records that as a free-energy result
under specific parameters. If QRF relabelings preserve probability mass, the project records an invariance of the finite screen.
If a quantum trajectory ensemble reconstructs a Lindblad density, it records a stochastic finite-system validation. None of
these operations licenses the stronger claim that an empirical subject has realized emptiness, that a real observer boundary
has been physically found, or that the source paper’s full qFEP picture has been confirmed.
5.2
Source Roles Prevent Claim Inflation
Scholarship in this manuscript is source-role aware, claim-ID aware, and evidence-ceiling aware.
The project separates
primary-target claims from background sources and future empirical context, then audits whether each public claim has
scoped support plus an explicit prohibited inference and future evidence requirement. A criticality source can justify a proxy
vocabulary, for example, but it cannot certify this simulation as a neural measurement; a contemplative-cognition source can
motivate an interface vocabulary, but it cannot certify practice eﬀicacy.
The stronger bibliography changes the argument by sharpening boundaries rather than by inflating claims. Discrete active
inference and expected-free-energy sources make the pymdp loop technically legible. Markov-blanket sources now include
the Pearl-blanket/Friston-blanket critique, so boundary language remains a model-use discipline rather than an ontological
shortcut [Bruineberg et al., 2022]. Relational quantum mechanics and enactive neurophenomenology add background for
observer-relative and enacted-interface vocabulary, but they do not make this six-bit screen a physical QRF or an empir-
ical boundary [Rovelli, 1996, Varela et al., 1991].
Self-evidencing and computational-phenomenology sources distinguish
organismic inferential function, precision reweighting, and identified-with self language without turning the software profile
sequence into a claim about realization, therapy, or practice eﬀicacy [Hohwy, 2026, Tal et al., 2026, Prest, 2026, Prest et al.,
2026]. Quantum-trajectory, QRF-transformation, Fine-style local-polytope, Bayesian workflow, simulation-calibration, and
reproducibility-checklist sources make the stochastic, frame-covariance, contextuality, BMR, and local artifact-release layers
methodologically inspectable [Fine, 1982, Talts et al., 2018, Gelman et al., 2020, Pineau et al., 2020]. None of these moves sup-
plies the missing evidence that would be needed for claims about public independent reproduction, human subjects, practice
outcomes, neural regimes, or physical qFEP dynamics.
5.3
Practice Interfaces Remain Outcome-Independent
The practice protocol map is useful because it keeps contemplative vocabulary tied to explicit model interventions. It also
prevents unsupported slippage from a software run to claims about realization.
This makes the practice layer a design backlog rather than a claim engine. Future interfaces can visualize prior precision,
opacification, policy scope, and compassion-proxy fields, but each interface should inherit the same rule: user-facing practice
language must remain safety-bounded and outcome-independent unless reviewed evidence and ethics constraints are added.
fig. 15 renders the three protocols as the bounded model-intervention deltas they actually are, with each protocol’s safety
boundary printed on the figure, so the practice layer is inspectable as a software interface specification rather than as a set
of instructions or eﬀicacy claims.
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Figure 15:
Practice protocols rendered as bounded model-intervention deltas.
Horizontal bars encode each protocol’s
metacognitive-access, prior-precision, sector-revisability, compassion-scope, and self-privilege deltas, color encodes increase
versus decrease, a dashed line marks no intervention, and each protocol’s safety boundary is printed on the figure; these are
finite software-interface specifications only and are not therapeutic advice, a claim of realization, a moral prescription, or a
clinical protocol.
5.4
Criticality Remains a Proxy Vocabulary
The criticality proxy track provides a target shape for future empirical adapters: if real data are introduced, the same
validator should require source identity, preprocessing provenance, and negative controls. Reporting the measured branching
ratio and avalanche-size distribution, rather than a hand-built near-critical score, sharpens that target shape, because a
future empirical adapter would compute the same finite signatures over real activity series and compare them against the
same shuffled null. Even then, power-law-like avalanche summaries would not by themselves establish criticality, because
similar scaling can arise without a critical state and cortical-criticality evidence remains method-sensitive [Touboul and
Destexhe, 2017, Destexhe and Touboul, 2021]. The branching index is a software-trajectory diagnostic that names what a
criticality test would measure; it remains outside the empirical evidence class until reviewed data, preprocessing provenance,
and ethics constraints exist [Wilting and Priesemann, 2019].
5.5
Care and Compassion Stay Normatively Bounded
The compassion proxy is deliberately modest. In the model, care first means the b5 care-salience cue and then the policy-
scope input used by the scope-of-concern surrogate. Compassion remains bounded proxy vocabulary, not a psychometric
construct, moral achievement, empathic state, prosocial behavior, well-being outcome, or contemplative attainment [Doctor
et al., 2022, Strauss et al., 2016, Singer and Klimecki, 2014].
The scope-of-concern surrogate makes that boundary inspectable. It measures a finite policy-scope asymmetry from the self
partition toward non-self channels by combining separation-prior precision with realised per-channel action influence. The
precision-ablation control tests the partition-size-and-precision driver; separate action controls test controllability, no-action
collapse, and action-shuffled collapse. The result recovers the source paper’s section 6.2 intuition as a scoped model quantity
only. It is not a measure of compassion, well-being, affect, or eﬀicacy.
5.6
Evidence Required for Stronger Claims
The evidence-ceiling audit is a deliberate brake on interpretive enthusiasm. A row can be well sourced and still remain
narrow: the project therefore records not only support, but also the exact stronger reading that the support does not license.
The finite quantum scope summary in sec. 4.2 and the technical supplement in sec. 7.2 can strengthen finite software checks
while this section keeps physical, empirical, neural, clinical, and practice-eﬀicacy readings blocked.
The resulting rule for reading the manuscript is simple but strict. Formal recapitulation means the local sentence is anchored to
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## Page 23

the Sandved-Smith et al. source argument and translated into an executable finite surrogate. Finite software validation means
a declared artifact, schema, negative control, and validator agree about a bounded model behavior. Stochastic simulation
means replayable seeded trajectories report variability within the simulator, not measurements of brains, practitioners, or
physical quantum boundaries. Proxy vocabulary means a concept such as criticality, care, compassion, or practice is being
used as a modeled interface or prediction family, not as evidence that an outcome occurred. Technical background is also
scoped: even strong FEP, Markov-blanket, or QRF sources can support vocabulary and method shape without turning a
finite relabeling screen into a physical or ontological boundary [Aguilera et al., 2022, Biehl et al., 2021, Heins and Da Costa,
2022]. A blocked evidence class means the project names the future data, physics, ethics, or empirical design that would be
required before a stronger claim could be made.
This distinction is especially important for the no-self-evidence thesis. The software can show that changing QRF labels
over the same b0-b5 bitstream changes model organization, policy preferences, and BMR pruning decisions under declared
priors. It cannot turn that finite success into evidence that no ontological self exists, that a person has realized emptiness,
that neural criticality has been measured, or that a practice protocol is eﬀicacious. Those readings are the exact prohibited
inferences carried by the claim-context ledger and evidence-ceiling stress matrix.
The manuscript should therefore be read with two simultaneous standards. The first standard is strict: a claim is allowed
only when its source role, artifact, schema, negative control, and validator all resolve. The second standard is modest: even
an allowed claim stays inside its evidence class. A passing QRF relabeling audit allows the manuscript to say that admissible
relabelings preserve the finite bitstream distribution; it does not allow the manuscript to say that a real boundary has been
discovered. A passing BMR sweep allows the manuscript to report when a modeled prior is useful or dispensable; it does
not allow a claim that the self has been removed. A passing stochastic ensemble allows uncertainty to be reported inside the
simulator; it does not make the rows empirical.
This is the manuscript’s single future-evidence register. The stronger classes are named here rather than implied elsewhere:
physical qFEP realization would require reviewed physical models and thermodynamic accounting; human-subject valida-
tion would require sourced data, ethics basis, preprocessing provenance, and preregistered outcomes; clinical, awakening,
compassion-eﬀicacy, and neural-measurement claims would require external evidence rather than proxy language; and user-
facing practice applications would require human review and safety governance.
Until those artifacts exist, the current
manuscript’s contribution is bounded formal recapitulation and deterministic software validation.
5.7
Finite Engines Do Not Collapse the Evidence Boundary
A finite operational surrogate cannot replace the source paper’s quantum-information argument, but it can test selected
finite consequences with integrity.
The two-qubit layer directly computes separability entropy, CHSH witness strength,
measurement-cover probabilities, local-hidden-variable polytope infeasibility, local-basis entropy invariance, Landauer-scaled
erasure cost, and dephasing-channel open-system controls.
The implemented extension layer also includes boundary-
Hamiltonian Lindblad dynamics, exact six-qubit cut sensitivity, a general measurement-cover obstruction LP, finite QRF
relabeling covariance, and a fail-closed empirical provenance adapter.
Those are real deterministic simulations inside
deliberately small state spaces. They still do not instantiate physical qFEP realization, a real many-body observer boundary,
full quantum-reference-frame covariance over Hilbert partitions, or an empirical claim about practice.
The expanded simulation grid, richer pymdp loop, finite quantum witnesses, and dephasing controls improve internal stress
testing but do not change the evidence class. They say more about the local parameter surface, generative-model design,
Hilbert-space controls, and policy trace than about any real person, nervous system, practice community, or physical quantum
system. That limitation is a feature of the v1 design: it keeps formal recapitulation, software simulation, empirical prediction,
and embodied practice interface work in separate registers, with the required stronger evidence consolidated in sec. 5.6.
The robustness audits add a further limit rather than a license for stronger claims. Bootstrap intervals, permutation contrasts,
Holm adjustment, and Cliff’s-delta effects make stochastic profile/null separation more transparent, but they remain statistics
over simulated rows. The same applies to BMR resampling and quantum-trajectory convergence: stable signs and decreasing
residuals support the finite software implementation, while unstable cells, wide intervals, or too-few-trajectory failures identify
where the surrogate should not be trusted. This is the useful falsification boundary inside the current artifact: a method
should be weakened or replaced when its declared negative control passes, when an admissible relabeling changes invariant
probability mass, when a reduced model wins only under an unreported sign convention, when stochastic effects vanish
against null controls, or when a quantum trajectory ensemble cannot reconstruct the exact density within declared tolerance.
The major limitation is also the reason the manuscript can be useful: it refuses to let conceptual vocabulary outrun evidence.
Self, action, body, world, other, and care are expressive labels for finite channels, not measurements of lived experience.
QRF is a sector-relabeling discipline here, not a full physical quantum-reference-frame implementation. Compassion scope
is a policy-scope proxy, not affect. Criticality is a trajectory diagnostic, not neural criticality. Practice protocols are model-
intervention specifications, not instructions or eﬀicacy evidence. These restrictions make the paper less rhetorically expansive,
but they make each result inspectable by a reader who wants to know exactly what was computed.
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A second limitation is that the current chain is intentionally small. Six boundary channels, three QRF profiles, fixed seeded
ensembles, finite Hilbert-space fixtures, and a pinned pymdp runtime make the work reproducible and easy to audit, but they
also limit generality. The correct response is not to soften those limits in prose. The required stronger artifacts are named
in sec. 5.6; until they exist, the finite engines are best read as a map of what stronger evidence would need to show, not as
substitutes for that evidence.
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6
Conclusion
6.1
What the Finite Surrogates Establish
This project operationalizes the no-self-evidence thesis of Sandved-Smith et al.: a finite agent predicts through a boundary
screen of six bits and can read those same bits under several QRF sector frames, yet the bitstream cannot certify which
frame is ontologically real. The arc runs from that screen and its frames (fig. 1, fig. 2) to an indistinguishability audit (fig. 3)
that licenses the frames’ use while withholding any ontological verdict, exactly as the surrogate of eq. 3 requires. Under that
license a separation prior earns its keep only through agency (fig. 7), then sheds it: Bayesian model reduction tracks the
prior’s net value and prunes the prior at high metacognitive access, at the weakest credible precision (fig. 8, fig. 10). The
pymdp active-inference profiles realize the three frames as explicit generative models rather than as asserted interpretations
(fig. 13), closing the loop from screen to policy.
The manuscript’s contribution is therefore a disciplined chain rather than a single slogan. It defines the boundary screen,
shows how QRF labels can reorganize the same bits, checks that admissible relabelings preserve the finite evidence object,
measures when the separation prior becomes predictively useful, tests when Bayesian model reduction makes the prior
dispensable, and then replays the profiles through explicit active-inference arrays. Each step is useful because it is narrow.
The claim is not that the software proves emptiness, removes a self, or realizes a physical quantum free-energy principle.
The claim is that the no-self-evidence argument can be made operational as a set of finite artifacts whose permissions and
prohibitions are auditable.
6.2
Validated Finite Software Contributions
The result is a source-faithful software foundation for studying no-self-evidence as an operational modeling problem. The
project maps the paper’s equations into a fourteen-row registry, instantiates finite QRF and BMR surrogates, runs a discrete
active-inference loop over explicit profile-specific generative models, samples replayable stochastic ensembles for criticality
and policy-scope indicators, tests a suite of implemented finite quantum and QRF extension engines each with positive and
discriminating negative controls, and binds every public claim to sources, artifacts, and evidence ceilings. Each contribution
is a finite, replayable artifact checked by a fail-closed gate rather than an assertion, which is what makes the foundation
auditable rather than rhetorical.
6.3
The Evidence Boundary Left Uncrossed
All of this is finite deterministic software validation against a declared evidence ceiling; none of it is evidence for the ontological,
empirical, neural, or contemplative readings of the source paper, and no claim crosses that boundary. The uncrossed boundary
is part of the result. It is what prevents a passing relabeling audit from becoming a claim about real selfhood, a passing
BMR sweep from becoming a claim about realized non-self, or a seeded stochastic ensemble from becoming a claim about
brains, practitioners, or physical observer boundaries.
Four evidence classes remain explicitly outside the current software boundary: a physical realization of the quantum free-
energy principle, human-subject validation of the modeled dynamics, clinical or awakening outcomes including compassion
eﬀicacy and neural measurement, and the eﬀicacy or safety of any user-facing contemplative practice. The surrogates fix the
shape of future tests for these classes; they do not stand in for the tests themselves, and the claim gates are built to fail closed
if any artifact is read as if it had; future evidence classes remain explicit work packages rather than implied conclusions.
6.4
Source-Faithful Platform for Future Evidence
The next defensible direction is not stronger rhetoric but stronger evidence: larger finite simulations with clearer scaling laws,
empirical adapters with provenance and ethics constraints, dashboard inspection for claim governance, and reviewed practice
interfaces that preserve the same boundary between model use and outcome claims. The project is ready for those directions
precisely because its current outputs remain modest, source-role governed, stochastic where sampling is appropriate, and
auditable. Read together, the finite surrogates, the validated software contributions, and the uncrossed evidence boundary
make this a platform on which those stronger tests can be built without quietly inheriting claims they have not yet earned.
That platform matters because the manuscript now separates three jobs that are often blurred. It recapitulates a source
argument in software, validates finite model behavior under negative controls, and names the evidence still missing for stronger
claims. A future physical model, human dataset, clinical study, neural measurement, or practice interface can plug into this
structure only by adding artifacts and gates that can fail. Until then, the strongest conclusion is deliberately bounded: the
software makes no-self-evidence technically inspectable, not empirically settled.
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7
Supplementary Audits and Reproducibility
This supplement collects the load-bearing software audits and governance surfaces kept out of the main argument, grouped
so readers can distinguish model behavior from manuscript accountability. It opens with the symbol and variable glossary
(sec. 7.1). The finite engine audits follow: the quantum and contextuality engines (sec. 7.2), the seeded criticality signatures
(sec. 7.3), and the compassion policy-scope proxy (sec. 7.4). The source-role ledger then explains how scholarship is allowed
to support vocabulary without raising evidence ceilings (sec. 7.5). The practice-interface material follows, with bounded
model interventions (sec. 7.6) and an optional contemplative-inquiry reading scaffold (sec. 7.7). The final section, sec. 7.8,
gathers reproducibility commands, claim and evidence gates, figure source maps, release and review-response ledgers, visual
audits, dashboard checks, and supplemental limitations in one meta-manuscript record.
7.1
Symbol and Variable Glossary
This glossary is the single structured home for every symbol that appears in the equation registry and in the displayed
surrogate equations of sec. 3.1. Each row gives the symbol, its natural-language name, and a short description of what it
denotes in the finite software surrogate. Where the source paper and the active-inference literature reuse the same letter for
two different quantities, the disambiguation note records which reading this project uses. The glossary describes notation
only; it does not assert any empirical, neural, clinical, or ontological reading of the quantities it names.
7.1.1
Boundary screen and quantum reference frames
These symbols appear in the QRF sectorisation and indistinguishability surrogates (eq. 1, eq. 2, eq. 3).
Symbol
Name
Description
𝐵
Boundary screen
The finite set of boundary channels
(the six bits) through which an agent
and its environment interact; the
substrate the agent predicts across.
𝑆𝑄
Sector set
The set of QRF sector labels that a
sectorisation can assign to boundary
states.
𝑄
Sectorisation map (QRF)
A quantum reference frame realised as
a map 𝑄∶𝐵→𝑆𝑄from boundary
states to sector labels (eq. 1).
𝑄𝑖, 𝑄𝑗
Sector labels
Two specific sectors whose observation
distributions are compared for
indistinguishability (eq. 3).
𝑜
Observation
A boundary readout, i.e. a bit pattern
emitted by the screen.
̄𝑜
Coarse-grained observation
A marginal or aggregated observation
used in the frame-relative likelihood
(eq. 2).
𝑀
Generative model
The agent’s full model over boundary
dynamics.
𝑀𝑄
Frame-restricted model
The generative model read under a
particular sectorisation 𝑄(eq. 2).
𝑃(⋅)
Probability
A finite probability distribution over
boundary outcomes.
7.1.2
Separation prior, free energy, and Bayesian model reduction
These symbols appear in the separation-prior and free-energy surrogates (eq. 4, equation 6, and equation 11 of the registry).
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## Page 27

Symbol
Name
Description
𝜎
Separation prior
A structural precision and map
𝜎∶𝑄→𝑄𝜎restricting admissible
sectorisations to a subspace (eq. 4).
Disambiguation: the criticality
branching ratio is conventionally also
written 𝜎; this project reports it as
“branching ratio” to keep the
separation prior unambiguous.
𝑄𝜎
Admissible subspace
The restricted set of sectorisations
favoured by the separation prior
(eq. 4).
𝐹
Variational free energy
The quantity the agent minimises; it
decomposes as complexity minus
accuracy (registry equation 6).
Δ𝐹
Free-energy change
The free energy of the reduced model
minus the free energy of the full model,
i.e. the change when the separation
prior is pruned.
complexity
Complexity term
The Kullback-Leibler divergence of the
posterior from the prior over model
parameters (registry equation 11).
accuracy
Accuracy term
The expected log-likelihood of
observations under the model.
7.1.3
Active-inference generative arrays (pymdp)
The profile-specific generative models are built from four arrays. The manuscript names them in words; the conventional
single letters are given here for cross-reference only.
Array (conventional letter)
Name
Description
likelihood array (𝐴)
Observation likelihood
Maps hidden states to observation
probabilities.
transition array (𝐵)
State transition
Maps a state and selected action to the
next state. Disambiguation: 𝐵here is
the pymdp transition array, distinct
from the boundary screen 𝐵above; the
manuscript uses “transition array” in
prose.
preference array (𝐶)
Preferences
Encodes the agent’s preferred
observations as log-preferences.
prior array (𝐷)
Initial-state prior
The prior over hidden states at the
first step.
7.1.4
Seeded criticality signatures
These quantities are computed from seeded boundary-channel activity series (see sec. 7.3).
Symbol
Name
Description
branching ratio
Branching ratio
Estimated descendants per ancestor
over a boundary-channel activity series.
criticality index
Criticality index
The absolute distance of the measured
branching ratio from one,
|branching ratio −1|.
avalanche size
Avalanche size
The length of a maximal
supra-threshold run of activity.
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Symbol
Name
Description
LLR
Power-law-versus-exponential LLR
A finite log-likelihood-ratio diagnostic
comparing power-law and exponential
fits to the avalanche-size distribution.
7.1.5
Finite quantum-information quantities
These appear in the finite quantum and contextuality engines (sec. 7.2).
Symbol
Name
Description
𝜌
Density matrix
A finite quantum state on a small
Hilbert space.
𝑆(𝜌)
Von Neumann entropy
−Tr(𝜌log 𝜌); the reduced entropy
quantifies entanglement in the
two-qubit sweep.
CHSH value
Bell witness
A correlation sum tested against the
local bound of two and the Tsirelson
bound of 2
√
2.
negativity
Entanglement witness
A separability witness derived from the
positive-partial-transpose criterion.
𝐻𝑈, 𝐻𝐴, 𝐻𝐵, 𝐻𝐴𝐵
Partition entropies
Joint and marginal Shannon entropies
of boundary partitions used in the
registry’s first equation.
Every symbol above denotes a quantity inside a finite, replayable software surrogate. None of these symbols, individually
or in combination, is a measurement of a physical, neural, or contemplative quantity, and the evidence ceilings in sec. 7.8.2
govern how any of them may be read.
7.2
Supplemental Finite Quantum and Contextuality Audits
The technical quantum and contextuality panels are supplemental because each one strengthens a finite software surrogate
without changing the manuscript’s evidence class.
The generated entropy audit records 33 entanglement-grid rows and
825 basis-invariance rows, while the trajectory-convergence audit reaches 2048 sampled trajectories at its largest convergence
point. They are source-mapped, schema-validated, and caption-audited, but they do not instantiate a physical qFEP, measure
a real observer boundary, provide human data, or establish contemplative eﬀicacy.
The internal-cut audit in fig. 16 generalises the no-self-evidence result from the single agent/environment boundary to arbitrary
internal boundaries, following Section 3.3. A Bell pair on the agent and an ancilla is tensored with an environment pure state,
so the agent’s accessible reduced state is invariant while the environment’s internal-cut entropy differs between a separable
and an entangled environment. For every environment bipartition the accessible marginal drift stays near zero, so the agent
cannot adjudicate the internal cut from its own side, while a two-sided oracle that is given the full joint state recovers the
differing entropy. This is the resolving-power control: the quantity is genuinely non-trivial, yet remains inaccessible from one
side. The audit is a finite pure-state linear-algebra computation, not a physical or observer-boundary measurement.
The Markov-blanket discovery audit in fig. 17 gives the no-self-evidence thesis a classical statistical form to complement the
quantum internal-cut result. A Markov blanket is a conditional-independence structure: the internal variables are independent
of the external ones given the blanket [Kirchhoff et al., 2018, Hipolito et al., 2021]. For a multivariate Gaussian that structure
lives exactly in the zero pattern of the precision (inverse-covariance) matrix, whereas the covariance an interior observer can
passively measure is generically dense even when the precision is sparse. Over a fixed six-variable precision matrix with a
planted internal/blanket/external partition, reading the precision support recovers the blanket exactly, and so does a swept
threshold on partial correlations, so the demonstration is a correctness statement about precision versus covariance rather
than a method beating a strawman. For this confounded instance no threshold on the marginal correlation matrix recovers
the same blanket, because a weak true internal-blanket correlation is masked by a stronger induced internal-external one.
That per-instance result is not over-generalised: a perturbation ensemble makes the claim distributional and honest. Across
structurally-similar positive-definite perturbations of the planted weights, the precision support recovers the blanket in every
instance, while the marginal-correlation threshold recovers it in only a minority (about a third of the sampled instances) and
fails in the majority. The boundary is therefore reliably visible in conditional independence but only contingently in the
marginal. Three further controls guard the claim: a fully-coupled precision matrix yields no nontrivial separation, an epsilon
internal-external coupling breaks the exact conditional independence so the detector no longer reports a clean blanket, and the
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Figure 16: Generalisation of no-self-evidence to arbitrary internal boundaries. Grouped bars encode the god’s-eye entan-
glement entropy across each environment internal bipartition for a separable versus an entangled environment, while the
overlaid markers encode the agent’s accessible marginal drift, which stays near zero; the agent cannot adjudicate the internal
cut from its marginal, and this is a finite pure-state linear-algebra audit, not a physical or observer-boundary measurement.
ensemble’s precision-recovery fraction must strictly exceed its marginal-recovery fraction. The audit is a finite deterministic
linear-algebra computation, not a neural, developmental, or empirical claim about any real system’s boundary.
Figure 17: Markov-blanket discovery as a conditional-independence surrogate.
Precision support reveals the planted in-
ternal/blanket/external split, marginal correlation hides it, and Panel C shows recovery succeeds from precision or partial
correlation but not from the marginal threshold. The figure is finite linear algebra, not empirical, neural, developmental,
clinical, or physical qFEP evidence.
The interaction-information audit sharpens the no-self-evidence statement to its extreme case. Over a categorical joint of
internal, blanket, and external variables the interaction information, the conditional minus the marginal mutual information
[McGill, 1954, Cover and Thomas, 2006], separates a synergistic boundary from a redundant one. For a deterministic boundary
in which the blanket is the parity of internal and external, the marginal mutual information the interior can passively observe is
exactly zero, yet conditioning on the blanket reveals a full bit of dependence, so the interaction information is strongly positive.
A redundant common-cause screen has the opposite sign, because the blanket renders internal and external conditionally
independent, and an independent null sits at zero. The sign of the interaction information therefore flips between regimes
that are indistinguishable to a marginal-only reading, a finite and exact echo of the thesis that the boundary cannot be
evidenced from inside. The audit is a finite deterministic Shannon-information computation, not a neural, developmental, or
empirical claim.
The classical data-processing audit states the boundary’s informational closure as the complement of the quantum data-
processing engine.
Modelling the boundary as a Markov chain from external world to blanket to interior, the Shannon
data-processing inequality bounds the interior’s information about the external world by the blanket’s, with equality if and
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## Page 30

only if the interior’s read-out of the blanket is a suﬀicient statistic [Cover and Thomas, 2006]. A suﬀicient (lossless) read-out
saturates the bound, a lossy state-merging read-out strictly loses information, and a constant read-out reaches zero; saturation
versus strict loss is the discriminating control, measured from the joint distribution. The interior can therefore never know
the external world better than the blanket lets it. The audit is a finite deterministic information-theoretic computation, not
a neural, developmental, or empirical claim.
The contextuality-suppression audit operationalizes the Section 6.1 claim that the separation prior suppresses the inherent
contextuality of the boundary [Kochen and Specker, 1967]. The parity-obstruction scenario has no global section, so an
unconstrained agent that probes its incompatible contexts exhibits a positive linear-programming residual. A separation-
constrained agent that commits to a single fixed sectorisation only ever measures within one context and never collects the
obstructing data, so its observed sub-model is feasible and the contextuality is suppressed. The discriminating negative
control is the noncontextual scenario, where the suppression delta is zero because there is nothing to suppress. The audit is
a finite linear-programming obstruction comparison, not a claim that physical boundaries are contextual or that any agent
realized emptiness.
The separability sweep in fig. 18 records reduced von Neumann entropy, mutual information, CHSH strength, contextual-
fraction proxy, and Landauer-scaled lower-bound values for a finite two-qubit family. The product endpoint is the separable
control and the Bell endpoint approaches one bit of reduced entropy and the Tsirelson CHSH value.
Figure 18: Finite two-qubit boundary-entropy landscape for the direct quantum-information extension. Legends identify
reduced entropy, mutual information, CHSH bounds, contextual-fraction proxy, and Landauer-scaled erasure lower bound;
the panels support only a finite simulation claim, not empirical evidence or a full qFEP quantum-dynamical realization.
The mixed-state entanglement audit in fig. 19 extends the entropy check beyond a pure Schmidt curve. Separable controls
remain zero-negativity, Bell controls are positive, Werner-family rows cross the PPT threshold, and invalid density matrices
are rejected before witness values become interpretable.
The multipartite and higher-dimensional witness suite extends the same negativity and PPT discipline beyond two qubits.
Independent fixtures construct Greenberger-Horne-Zeilinger (GHZ) states [Greenberger et al., 1989] on two, three, and four
qubits, a three-qubit W state, and a maximally entangled qutrit pair, then evaluate the negativity witness on every single-
subsystem-versus-rest bipartition. The entangled fixtures are detected on every cut, with GHZ negativity at one half and the
qutrit pair at one, while the explicit false-positive controls, separable product states on the same qubit and qutrit registers,
are not detected on any cut. The suite is a finite linear-algebra witness over fixed states recorded in the multipartite witness
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Figure 19: Mixed-state two-qubit entanglement audit for Bell, separable, and Werner-family cases. The line legend maps
negativity, PPT minimum eigenvalue, and the Werner threshold, while the bar legend separates separable controls from the
Bell control and notes invalid-density rejections; the figure validates a finite PPT/negativity software surrogate, not empirical
or many-body boundary evidence.
suite audit artifact; it is not a genuine-multipartite-entanglement certificate and is not empirical, neural, clinical, or physical
qFEP evidence.
Figure 20: Minimum bipartition negativity per fixture for the multipartite and higher-dimensional entanglement witness
suite.
Bars encode the smallest single-subsystem-versus-rest negativity for each GHZ, W, and qutrit fixture, colored to
separate entangled fixtures that are detected on every cut from the separable product false-positive controls that must stay
at zero negativity; the legend maps the two colors and the figure is a finite PPT/negativity witness over fixed states, not a
genuine-multipartite-entanglement certificate and not empirical, neural, or physical qFEP evidence.
The tensor-network benchmark decomposes each toy boundary-screen state into a matrix product state by sequential singular-
value decomposition [Eisert et al., 2010]. The exact decomposition must reconstruct the state (the positive control), the
maximum bond dimension records tensor-network tractability beyond exact state-vector enumeration (GHZ and W stay at
bond two, products at one, and the GHZ bond stays two as the screen grows), and a bond-one truncation is the discriminating
control pair: it loses fidelity on the entangled states but is lossless on the product state. This is a finite exact-MPS benchmark
over toy sizes, not a large-scale many-body simulation and not empirical evidence.
The collision-model surrogate relaxes a system qubit toward a fixed ancilla state through repeated partial-SWAP interactions
with fresh ancillas, tracing out the ancilla each step. Coupled collisions drive the system trace distance toward zero while the
zero-coupling collision is the discriminating control that leaves the system unchanged; every step stays trace-preserving and
positive. It is a finite deterministic relaxation surrogate, not a physical heat bath or a thermodynamic measurement, and
not empirical evidence.
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Figure 21: Tensor-network matrix-product-state benchmark shown as two panels. Panel A bars encode the maximum bond
dimension per fixture, with entangled GHZ and W states staying at bond two and product states at bond one as the screen
grows, demonstrating tractability beyond exact state-vector enumeration; Panel B bars encode the bond-one truncation error,
which is positive on entangled fixtures and zero on products, the discriminating control. The figure is a finite exact-MPS
benchmark over toy states, not a large-scale many-body simulation and not empirical evidence.
Figure 22: Collision-model thermalization surrogate shown as grouped bars of the trace distance from the system qubit to the
fixed ancilla, initial versus final, for each coupling strength. The weak and strong partial-SWAP couplings collapse the final
distance toward zero while the zero-coupling control leaves the final distance equal to the initial value, the discriminating
control; the legend maps the initial and final bars. The figure is a finite deterministic collision surrogate, not a physical heat
bath or thermodynamic measurement and not empirical evidence.
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The data-processing monotonicity surrogate in fig. 23 operationalizes the opacification and Bayesian-model-reduction theme
of Sections 5.3 and 6.1 as the irreversible loss of distinguishability at a coarse-grained boundary. The Lindblad-Uhlmann
data-processing inequality states that a completely-positive trace-preserving channel can only reduce the trace distance and
quantum relative entropy between two states [Lindblad, 1976, Nielsen and Chuang, 2010]; over a finite family of qubit
state pairs and the phase-damping, amplitude-damping, and depolarizing channels, every after-channel distance lies on or
below its before value, so once the environment record is averaged out the interior cannot recover what was forgotten. Two
discriminating controls give the audit teeth rather than leaving the inequality true by construction. First, the transpose
map is positive and trace-preserving yet its Choi matrix has a minimum eigenvalue of minus one, so it is not completely
positive; this control fires and shows that restricting to physical channels is a requirement, not a convenience. Second, a
selective record-keeping post-selection, a non-trace-preserving filter chosen as the orthogonaliser, raises the trace distance
toward one; this control fires and shows that the irreversibility belongs specifically to the record-discarding average and not
to the interaction itself, so keeping the record can sharpen rather than blur. The audit is a finite qubit-channel linear-algebra
computation, not a physical qFEP, neural, clinical, or contemplative claim.
Figure 23: Data-processing monotonicity surrogate for opacification as forgetting. Panel A shows trace distance never rising
after CPTP channels; Panel B shows the transpose control failing complete positivity; Panel C shows selective post-selection
can raise distinguishability when the record is kept. The figure is a finite qubit-channel surrogate, not empirical evidence or
a physical qFEP, neural, clinical, or contemplative claim.
The quantum Cramer-Rao estimation audit operationalises the precision limit on inferring the separation parameter from
the boundary.
The classical Fisher information of any measurement is bounded by the quantum Fisher information of
the state family, computed here from the symmetric logarithmic derivative [Braunstein and Caves, 1994, Paris, 2009]; that
bound is itself a data-processing inequality for Fisher information. The discriminating control is a coherent-versus-classical
contrast. When the separation parameter is encoded coherently, the interior’s decohered pointer-basis measurement strictly
loses information relative to the quantum bound while the symmetric-logarithmic-derivative measurement saturates it; when
the parameter is encoded classically in populations, the pointer measurement is already optimal and there is no gap. The
information gap is therefore created by the coherence that opacification renders inaccessible, not by construction. The audit
is a finite deterministic single-qubit estimation-theory computation, not a metrology experiment and not a neural, clinical,
or physical qFEP claim.
The Blackwell Bayes-risk audit grounds the manuscript’s recurring “use is licensed, ontology is not” reading in statistical
decision theory.
A boundary observation channel defines a decision problem whose Bayes risk, the expected loss of the
optimal decision rule, measures the channel’s decision value. By Blackwell’s theorem an invertible relabeling of the boundary
outcomes, the decision-theoretic image of an admissible QRF sector relabel, is a reversible post-processing and preserves the
Bayes risk exactly, so deciding is just as good under any admissible relabeling and use of the boundary is licensed [Blackwell,
1953]. A genuine garbling, a lossy and irreversible post-processing standing for the collapse of the boundary into an ontology,
can only raise the Bayes risk, and a nontrivial one strictly does; over a dense grid of garblings no post-processing ever lowers
it, and a complete erasure reaches the prior chance risk. Relabel-preserves versus garble-degrades is the measured ordering.
The audit is a finite deterministic statistical-decision computation, not a neural, clinical, or physical qFEP claim.
The no-signaling scenario library audits finite probability tables for no-signaling, that is, that each party’s marginal is
independent of the other party’s setting. The quantum CHSH-Bell and product scenarios satisfy it; a deliberately disturbing
table that injects a setting-dependent marginal is the discriminating negative control and is correctly flagged as signaling.
This is a finite no-signaling and no-disturbance audit over a software scenario library, not a contextuality proof and not
empirical evidence.
The n-cycle contextuality library generalizes the CHSH and triangle scenarios to a parameterized family of compatibility
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cycles [Araújo et al., 2013]. For each cycle length the same deterministic-assignment linear program tests whether a behavior
lies in the noncontextual polytope, applied to perfect anti-correlation, the n-cycle quantum correlation at minus cosine pi
over n, and an uncorrelated control. The discriminating signal is the odd-versus-even dichotomy cross-checked against graph
two-colorability: odd cycles, including the five-cycle pentagon, are not two-colorable, so their frustrated behaviors have no
noncontextual model and the program is infeasible, while even cycles stay feasible and the uncorrelated control is always
feasible. Every verdict is measured linear-program feasibility cross-checked against two-colorability rather than an asserted
optimal quantum violation, so the audit is a finite contextuality-structure library and not empirical evidence.
Figure 24: n-cycle contextuality scenario library shown as a feasibility matrix. Rows are cycle lengths labeled odd or even
and two-colorable or frustrated, columns are the perfect anti-correlation, quantum, and uncorrelated behaviors, and each
colored cell encodes whether the noncontextual-polytope linear program is feasible (a noncontextual model exists) or infeasible
(contextual). Odd cycles including the five-cycle pentagon are contextual while even cycles are not, cross-checked against
graph two-colorability; the matrix records measured LP feasibility, not an asserted optimal violation, and is not empirical
evidence.
The contextuality witness in fig. 25 separates CHSH strength from basis-sweep entropy behavior. The figure supports only
a finite CHSH witness and local-basis invariance control; it is not a general QRF contextuality proof.
The CHSH measurement-cover table in fig. 26 records context-by-outcome probabilities, no-signaling checks, product-control
locality, and Bell-state Tsirelson behavior. The companion local-polytope audit in fig. 27 solves the finite feasibility problem
over deterministic assignments, following the Fine joint-distribution criterion for the Bell inequalities [Fine, 1982], so the
Bell table’s contextuality is visible as local-polytope infeasibility rather than a decorative label. A separate independent
cross-check rederives CHSH, Tsirelson, product locality, and local-polytope feasibility without calling the original quantum
helper functions, and its perturbed expected-value control must fail before the claim is accepted.
The generic measurement-cover polytope audit in fig. 28 repeats the deterministic-assignment LP over triangle, parity, CHSH-
product, and CHSH-Bell scenarios. It turns the CHSH example into reusable finite obstruction machinery while remaining
scenario-local and non-empirical.
The dephasing-channel panel in fig. 29 checks trace preservation, positivity, entropy production, mutual-information con-
traction, and CHSH decay for a finite two-qubit channel. It validates a channel-control surface, not the source paper’s full
open-system qFEP dynamics.
The quantum-trajectory unraveling in fig. 30 samples jump/no-jump paths and reconstructs finite Lindblad densities using
seeded Monte Carlo wave-function trajectories [Dalibard et al., 1992, Mølmer et al., 1993, Wiseman and Milburn, 2010].
The convergence audit in fig. 31 varies trajectory count, compares against exact Lindblad evolution, and requires a too-few-
trajectory negative control to fail [Plenio and Knight, 1998].
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Figure 25: CHSH contextuality witness and basis-sweep audit for the same finite two-qubit family. The scatter colorbar
encodes contextual fraction, bound lines mark local and Tsirelson thresholds, and the heatmap colorbar shows rotated
measurement entropy while the contour marks reduced-entropy invariance; this does not claim empirical or full QRF dynamics.
Figure 26: Finite CHSH measurement-cover empirical model for the Bell-state contextuality extension. The heatmap colorbar
and printed cell values encode joint probabilities by context and outcome, while the hatched bar legend compares the product
negative control with the Bell cover against local and Tsirelson bounds; the figure supports only a finite no-signaling CHSH
table, not a full sheaf-obstruction proof or empirical QRF result.
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Figure 27: Local-polytope audit for the same CHSH measurement-cover artifact. The hatched residual bars show that the
product control has an exact deterministic-assignment mixture while the Bell cover has a positive minimum L1 residual
against the 16-assignment local polytope; the horizontal-bar legend lists the product-control mixture weights. This is a finite
noncontextuality-polytope audit, not a general sheaf-obstruction engine or empirical quantum result.
Figure 28: General measurement-cover polytope audit for triangle, parity, CHSH-product, and CHSH-Bell scenarios. Hatched
residual bars distinguish feasible controls from obstruction cases, and the binary colorbar reports parser, feasibility, and no-
disturbance checks; the figure is a finite deterministic-assignment LP audit, not empirical contextuality evidence or a full
source-paper proof.
Figure 29: Finite open-system dephasing controls for a two-qubit Bell state and product negative control. Line legends map
dephasing rates across CHSH decay, global entropy increase, and mutual-information contraction; the figure supports only a
trace-preserving finite dephasing-channel claim, not empirical evidence or full qFEP dynamics.
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Figure 30: Seeded quantum-trajectory unraveling of the finite two-qubit Lindblad surrogate. Line legends compare Monte
Carlo ensemble entropy with the exact Lindblad density, rate-colored lines show trace-distance residuals, and jump-count
bars with intervals expose the gamma-zero negative control; this validates a stochastic software surrogate, not physical qFEP
realization or empirical quantum-boundary evidence.
Figure 31: Quantum-trajectory convergence audit for the finite Lindblad surrogate. The line plot shows max trace-distance
residual across trajectory counts on a log-scaled axis, while the bar panel contrasts a too-few-trajectories negative control
with the largest ensemble against the validation threshold; this checks stochastic software convergence, not physical qFEP
realization or empirical quantum evidence.
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The thermodynamic channel-cost audit in fig. 32 separates finite entropy accounting from thermodynamic overclaim. Declared
channels must be CPTP, non-CPTP controls are rejected, and Landauer lower bounds are reported only as kBT-scale software
quantities.
Figure 32: Thermodynamic channel-cost audit over finite CPTP maps and input states. The heatmap colorbar encodes
Landauer lower bounds in kBT units, cell text gives numeric costs, and the hatched log-scale bars show non-CPTP controls
rejected; the figure is finite entropy accounting, not measured heat or physical qFEP thermodynamics.
The boundary-Hamiltonian Lindblad engine in fig. 33 is an implemented finite qFEP extension surrogate with trace, positiv-
ity, entropy, mutual-information, and malformed-dynamics controls. It gives a deterministic open-system test bed without
licensing physical qFEP realization.
Figure 33: Boundary-Hamiltonian qFEP extension engine using finite two-qubit Lindblad dynamics.
Line legends map
Lindblad rates across entropy production, mutual-information contraction, and positivity residual panels; the figure validates
a deterministic software surrogate with negative controls, not empirical evidence or a physical qFEP realization.
The many-body screen panels in fig. 34 and fig. 35 test cut sensitivity, separable controls, random-cut non-evidence controls,
and sparse exact scaling. These figures are many-body software diagnostics, not proof that a real observer boundary has
been found.
The sheaf-contextuality audit in fig. 36 distinguishes feasible global-section controls from an obstruction case, while the QRF
relabeling and frame-covariance audits in fig. 37 and fig. 38 check admissible probability-preserving maps, spectra, reduced
entropies, and invalid transform rejection. These are finite covariance and obstruction checks, not full quantum-reference-
frame physics [Bartlett et al., 2007].
The empirical adapter in fig. 39 remains fail-closed: synthetic fixtures can be software demos only, unsourced human data are
blocked, and preregistered placeholders without preprocessing provenance cannot support empirical claims. The roadmap
readiness matrix in fig. 40 records which finite engines are implemented and which external-evidence classes remain blocked.
7.3
Criticality Signatures with Null Controls
The criticality layer computes the two finite signatures the source paper names for its empirical criticality prediction, rather
than a hand-tuned score, over seeded boundary-channel activity series drawn from the active-inference trajectories.
A
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Figure 34: Many-body boundary-screen sweep over exact six-qubit state vectors and subsystem cuts. The entropy colorbar
and cell text separate candidate observer-boundary cuts, structured controls, random-cut negative controls, and separable
controls; the figure supports only finite cut-sensitivity validation, not empirical or many-body observer-boundary proof.
Figure 35: Sparse exact boundary-screen scaling audit across six, eight, and ten qubits.
The entropy colorbar and cell
text encode reduced entropy and observer/control labels, while the line legend contrasts observer-cut entropy with nonzero
amplitude density; this validates finite sparse software scaling only, not empirical or full many-body QRF evidence.
Figure 36: General measurement-cover sheaf obstruction audit beyond the CHSH-only table. Hatched residual bars dis-
tinguish the noncontextual triangle negative control from the parity obstruction, while the binary matrix colorbar reports
global-section and no-disturbance checks; the figure is a finite LP audit, not empirical evidence or a full proof for the source
paper.
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Figure 37: QRF transformation covariance audit for finite probability-preserving relabelings. The binary matrix colorbar
marks stochasticity, nonnegativity, and acceptance criteria, while grouped bars show probability-mass and expectation-
covariance errors for admissible maps; the figure supports only finite relabeling covariance, not full quantum-reference-frame
dynamics.
Figure 38: QRF frame-covariance toy audit over finite density matrices and probability vectors. The binary colorbar marks
transform acceptance and drift flags, while the grouped-bar legend separates spectrum, reduced-entropy, and probability
residuals for admissible unitary/permutation maps with a disclosed display floor for exact-zero residuals; the figure supports
only finite covariance checks, not full quantum-reference-frame physics.
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Figure 39: Empirical adapter provenance audit showing that the human-evidence interface remains fail-closed. The colorbar
and Y/N cell text encode source identity, ethics basis, preprocessing hash, null model, and empirical-claim permission;
synthetic fixtures can be demos only, and unsourced human or practice data remain blocked rather than becoming evidence.
Figure 40: Quantum roadmap readiness matrix separating validated finite simulations from blocked future evidence classes.
The binary colorbar and Y/N cell text encode whether each roadmap item has an artifact, schema, validator, negative control,
and allowed manuscript claim; future rows remain blocked, so the figure is a roadmap governance audit, not evidence that
the full qFEP or empirical adapters are implemented.
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branching ratio is estimated as descendants per ancestor over each activity series, and an avalanche-size distribution is
extracted from maximal supra-threshold runs of that activity and summarised by a finite power-law-versus-exponential log-
likelihood-ratio diagnostic [Beggs and Plenz, 2003]. The derived criticality index is the absolute distance of the measured
branching ratio from one, so the keep-or-critical reading follows the measurement rather than a constant; the caution is that
these signatures are not dispositive even in empirical neuroscience without stronger controls [Touboul and Destexhe, 2017,
Destexhe and Touboul, 2021].
The engine carries both kinds of control. The discriminating negative control is a per-series shuffle: the measured branching
ratio must separate each profile ensemble from its shuffled null by disjoint ninety-five percent confidence intervals, not merely
by a mean difference, so a separation that survives reflects the temporal structure of the activity beyond sampling noise rather
than its marginal rate. A profile whose real and null intervals overlap is not credited, and the criticality reading is reported
only when most profiles separate from their null on at least one signature.
The positive control is a planted-branching
calibration: a pure geometric activity series with a known branching ratio is fed to the estimator, which must recover the
planted value within tolerance. Without the calibration the measured branching number would be of unknown meaning; with
it, the estimator is shown to measure branching rather than emit an artifact. The seeded stochastic ensemble adds replayable
variability and confidence intervals, and the effect-size forest reports profile-minus-null differences with bootstrap intervals
and Holm-adjusted permutation tests.
These signatures structure the shape of a future empirical test; they are not neural measurements, clinical outcomes, or
evidence that any contemplative practice produced a critical regime.
7.3.1
Seeded Criticality Indicators with Null Controls
The reported criticality-style outputs are seeded stochastic simulation indicators computed from the active-inference trajec-
tories: observation entropy, action entropy, switching rate, variance, autocorrelation, null-control contrasts, and confidence
intervals over replayable seeds. The single-trace diagnostic remains as a compact continuity check, but fig. 42 carries the
claim-bearing result because it exposes variability and null controls.
fig. 41 shows that the measured branching ratio separates the profile ensembles from their shuffled null controls by disjoint
ninety-five percent confidence intervals, which is the finite software analogue of a criticality signature and not a measurement
of neural avalanches or branching in any nervous system. The avalanche-size power-law-versus-exponential log-likelihood
ratio is reported for continuity only and is non-discriminating on a single trace, where a sample size of one leaves the power-
law and exponential fits statistically indistinguishable; it is the branching-ratio separation against the shuffled null, not the
single-trace avalanche fit, that carries the criticality reading. The surrogate fixes the shape of a future empirical test; it does
not observe criticality.
Figure 41: Measured criticality signatures for the seeded boundary-channel trajectories. Panel A bars encode the measured
branching ratio per profile against hatched null controls with a dashed sigma-equals-one balance line, and Panel B is a
histogram of single-trace avalanche sizes; the colored bars and dashed reference line are seeded software trajectory diagnostics
only, and the figure is not evidence of neural avalanches, branching, or empirical criticality.
The effect-size forest adds the adversarial statistical view. For each profile and trajectory metric, the audit reports the
profile-minus-null mean difference, bootstrap interval, permutation p-value, Holm-adjusted p-value, and Cliff’s-delta direction
[Westfall and Young, 1993]. The point of the forest is not significance hunting; it shows which finite stochastic separations are
large enough to survive the declared null comparison and which should be treated as weak or unstable simulation behavior.
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Figure 42: Seeded stochastic active-inference ensemble for criticality-style indicators. Shared short profile labels, a single
external legend, violet profile bars, hatched gray null-control bars, direction annotations, and 95 percent intervals over
replayable seeds show simulated trajectory variability only; the figure is not empirical evidence, not neural measurement, not
clinical outcome evidence, and not practice-eﬀicacy evidence.
Figure 43: Single-trace entropy, switching, variance, and near-criticality diagnostics from a simulated boundary-channel
trajectory. The bar legend marks values as one simulated trace, and the stochastic ensemble figure carries the interval/null-
control result; neither figure is empirical evidence for neural criticality or contemplative realization.
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Figure 44: Seeded stochastic profile-null effect-size audit for active-inference ensembles.
Grouped short-profile rows use
horizontal Cliff’s-delta bars, hatches identify Holm-adjusted nonsignificant contrasts, right-side labels give profile-vs-null
direction, adjusted p-values, and pooled bootstrap intervals, and the zero reference line separates profile-higher from null-
higher effects; this is a finite simulation robustness audit, not empirical, neural, clinical, or practice-eﬀicacy evidence.
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7.4
Compassion Scope as a Precision-Weighted Policy Proxy
The compassion-scope engine operationalises the source paper’s section 6.2 claim that an enforced separation prior prefer-
entially scopes free-energy minimisation to the self partition. Concern per boundary channel is computed as (1 + realis
ed action-influence) * precision_weight, which blends the realised action-influence of the shared bitstream with the
separation prior’s precision allocation to that channel. The action-influence is measured per channel as the fraction of baseline
prediction error removed when the selected action is conditioned on, over a finite boundary stream in which each channel
tracks the action with a declared controllability faithful to the b0-b5 roles (the body-controllability and action-contingency
cues are strongly action-driven, the distal-world cue least). On this corpus the measured per-channel influence ranges from
near zero on the least action-contingent channel to its largest value on the most action-contingent channel, so the term
genuinely shapes concern rather than scaling it uniformly: holding the precision fixed and removing the influence term mea-
surably shifts the scope asymmetries. Because a raw scope summed over a partition is confounded by how many channels
each partition contains, concern is normalised per channel as a mean rather than a sum, so the reported self versus non-self
contrast reflects the mechanism and not the partition sizes. The engine reports the scope-asymmetry between non-self and
self concern per profile.
The discriminating negative control is a precision ablation rather than a label shuffle. A size-preserving label shuffle cannot
falsify a quantity whose self and non-self split is governed by partition size and prior precision, so it would pass by construction;
ablating the separation prior’s self-precision boost instead collapses the constrained profile’s self-concentration and shrinks
the overall spread, which isolates the separation prior as the cause of the modeled self-privileging. The ablation preserves
the channels and their activity and removes only the precision boost, so a change under ablation is attributable to that prior.
The action-influence term carries its own discriminating controls: it tracks the per-channel controllability, it falls to near zero
on a stream with no action-contingency, and it collapses when an action shuffle permutes the actions against the observations
and destroys the realised influence, so the blend’s bitstream half is measured and falsifiable rather than asserted.
7.4.1
Compassion Proxy as Modeled Policy Scope
The proxy is defined as widening the field of modeled error without privileging a self sector, and the artifact reports this as
a policy-scope quantity, not a moral or clinical endpoint. As shown in fig. 45, the scope-asymmetry is negative under the
separation-constrained profile, where concern concentrates on the self partition, and rises toward zero under the opacified
and post-dual profiles, where concern widens to non-self channels. The precision-ablation control collapses the constrained
profile’s self-concentration and shrinks the overall spread, confirming that the modeled self-privileging tracks the separation
prior rather than the partition sizes. This is a finite policy-scope surrogate; it is not a measure of compassion, well-being,
practice eﬀicacy, or any affective, moral, or clinical outcome.
Figure 45: Finite scope-of-concern surrogate across QRF profiles. Panel C compares active separation-prior asymmetry with
a hatched precision-ablation control; Panel D shows per-channel action influence against an action-shuffled mean. The figure
is a finite policy-scope surrogate only, not a measure of compassion, well-being, practice eﬀicacy, or affective outcome.
7.5
Source-Role Ledger
The scholarship layer is an executable source-role matrix, not a decorative bibliography. data/sources/scholarship_m
anifest.yaml records the primary preprint, qFEP foundations [Fields et al., 2022, Fields and Glazebrook, 2023], QRF
and boundary background [Giacomini et al., 2019, Chen and Giacomini, 2026, Vanrietvelde et al., 2020, Bartlett et al.,
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## Page 46

2007, Rovelli, 1996, Kirchhoff et al., 2018, Hipolito et al., 2021], finite quantum-information, decoherence, contextuality,
open-system, and trajectory references [Nielsen and Chuang, 2010, Vedral, 2002, Bell, 1964, Clauser et al., 1969, Spekkens,
2005, Abramsky and Brandenburger, 2011, Zurek, 2003, Landauer, 1961, Lindblad, 1976, Gorini et al., 1976, Dalibard et al.,
1992, Mølmer et al., 1993, Wiseman and Milburn, 2010], self-evidencing and FEP background with critique and qualified
response [Hohwy, 2016, 2026, Friston et al., 2023, Possati, 2025, Beck and Ramstead, 2025, Aguilera et al., 2022, Biehl et al.,
2021, Heins and Da Costa, 2022, Bruineberg et al., 2022], active-inference, expected-free-energy, habit, and Bayesian model
reduction methods [Friston, 2010, Friston et al., 2015, 2016, Da Costa et al., 2020, Parr et al., 2022, Friston and Penny, 2011],
the pymdp implementation anchor [Heins et al., 2022], metacognitive and contemplative-cognition context [Sandved-Smith
et al., 2021, Limanowski and Friston, 2018, Lutz et al., 2015, Laukkonen and Slagter, 2021, Laukkonen et al., 2025, Dahl
et al., 2015, Tal et al., 2026, Prest, 2026, Prest et al., 2026], criticality context and false-positive cautions [Cocchi et al.,
2017, Shew and Plenz, 2013, Wilting and Priesemann, 2019, Touboul and Destexhe, 2017, Destexhe and Touboul, 2021],
care/compassion context [Doctor et al., 2022, Strauss et al., 2016, Singer and Klimecki, 2014], and Buddhist, enactive, and
phenomenological terminology boundaries [Siderits and Katsura, 2013, Westerhoff, 2009, Garfield, 1995, Varela et al., 1991,
Zahavi, 2005].
The scholarship ledger separates primary-target recapitulation from background theory, software implementation, simulated
proxy context, terminology, and limitations.
This matters because a source can justify vocabulary without licensing a
stronger claim. Quantum-information, Bell, CHSH, contextuality, decoherence, open-system, Monte Carlo wave-function,
quantum-measurement/control, and Landauer sources support only the finite entropy, witness, measurement-cover, local-
polytope, channel, trajectory, and roadmap vocabulary; QRF, relational, and perspective-neutral frame sources support
transformation or observer-relative vocabulary without making the finite relabeling screen a full QRF theory; criticality
sources support only future empirical-adapter vocabulary; contemplative-cognition sources support only the modeling inter-
face and limitation language; discrete active-inference and pymdp sources support the active-inference loop; Markov-blanket
sources support boundary-formalism context; and the primary paper remains the target for the qFEP/QRF/no-self-evidence
formal recapitulation.
The boundary critique is intentionally double-sided. Markov blankets can remain useful as epistemic tools for model factor-
ization, but Bruineberg et al.’s Pearl/Friston distinction blocks the move from formal blanket use to metaphysical boundary
discovery [Bruineberg et al., 2022]. Relational quantum mechanics and enactive neurophenomenology similarly motivate re-
lational and enacted-interface language while withholding proof that this artifact has simulated a physical observer boundary
or a literal quantum reference frame [Rovelli, 1996, Varela et al., 1991]. The contemplative sources add another distinc-
tion rather than a result claim: organismic self-evidencing, precision reweighting, letting-go models, and identified-with self
language are conceptual context for reading profile labels, not evidence that the model induces or measures contemplative
attainment [Hohwy, 2026, Tal et al., 2026, Prest, 2026, Prest et al., 2026].
Each source row declares what kind of support it can provide. Discrete active-inference sources support the A/B/C/D, expected-
free-energy, and policy-selection machinery; Markov-blanket sources support boundary vocabulary only when paired with
critiques and qualified responses that keep boundary ontology assumption-sensitive; QRF and relational sources support
transformation, perspective, and observer-relative language without making the finite relabeling screen a full quantum-
reference-frame theory; quantum-information, Bell/CHSH, contextuality, quantum-operation, GKSL/Lindblad, and Monte
Carlo wave-function sources support finite entropy, witness, measurement-cover, local-polytope, channel-cost, dephasing, and
trajectory-unraveling controls but not the full source-paper qFEP argument [Spekkens, 2016]. Criticality sources support
proxy and future-adapter vocabulary while explicitly warning that scaling signatures can mislead. Contemplative sources
support model-interface language and selfing distinctions. None of these rows upgrades the finite surrogate into empirical,
clinical, neural, full qFEP, or practice-outcome evidence.
The ledger is deliberately claim-first rather than bibliography-first. A citation can enter the manuscript only through a
scoped role, a track, and one or more local claim IDs [Munafò et al., 2017].
This prevents a common failure mode in
interdisciplinary work: importing a strong source from one domain, then allowing its authority to leak into another. Here, a
quantum-trajectory citation can justify the stochastic unraveling algorithm; it cannot make the trajectory a physical qFEP
realization. A contemplative-cognition citation can justify interface vocabulary; it cannot make the protocol an eﬀicacy claim
[Garfield, 1995].
The companion claim-support audit binds those source roles to public claim IDs, required artifacts, and evidence ceilings,
checking source roles claim by claim rather than counting references globally: a public claim can pass only when it has a
gate, an artifact, scoped support, and an evidence ceiling. These matrices are governance surfaces, not authority for stronger
claims, and their full visual audit panels are rendered with the supplemental figure source maps in sec. 7.8.3.
7.6
Embodied-Practice Protocols as Bounded Model Interventions
Practice protocols are model interventions only.
They map attentional opacification, dependent-origination inquiry, and
compassion alignment to changes in metacognitive access, prior precision, and QRF policy selection [Sandved-Smith and
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Da Costa, 2024, Lutz et al., 2008]. The bounded model-intervention deltas behind these protocols are rendered as a software-
interface specification in sec. 5.3, where each protocol’s safety boundary is printed on the figure; nothing here is therapeutic
advice, a claim of realization, a moral prescription, or a clinical protocol, and the practice layer stays outcome-independent
unless reviewed evidence and ethics constraints are added.
7.7
Contemplative Inquiry as Progressive Opacification
This section adapts the source paper’s “contemplative inquiry as progressive opacification” into a reader-facing interpretation
scaffold for the software artifacts. Opacification means making an organizing channel visible as a channel: a boundary, prior,
label, or proxy that had been read through becomes available to inspect. The section offers concepts, prompts, and slogans
for reading the figures and ledgers; it is not a procedure, therapy, moral instruction, practice prescription, or claim that any
prompt produces a cognitive, contemplative, clinical, neural, experiential, or developmental result. It inherits the practice-
layer rule in sec. 7.6: user-facing language remains safety-bounded and outcome-independent unless separate evidence and
ethics constraints are added.
The added contemplative-phenomenology sources make this section narrower, not more prescriptive. They help distinguish
self-evidencing organismic function from identified-with self language, and precision reweighting from any claim of realized
insight [Hohwy, 2026, Tal et al., 2026, Prest, 2026, Prest et al., 2026]. The reading scaffold therefore treats “self”, “body”,
“action”, “other”, and “care” as labels over a finite file, not as diagnoses of experience, instructions for meditation, or evidence
that a practice changes a person.
7.7.1
Opacification ladder
The ladder is a way to read the model states, not a path a person is asked to follow.
• Separation-constrained: the boundary screen is readable, but one self/world cut is treated as the default frame for the
file.
• Opacified: a once-transparent channel becomes inspectable, so action, other, care, or body salience can be read as a
modeled assignment rather than as a fact discovered in the stream.
• Post-dual: the same finite bitstream is kept while no single channel is privileged as the self side; this is a bookkeeping
regime for the artifact, not an attainment claim.
• Meta-manuscript: gates, source maps, and evidence ceilings make the manuscript’s own claim machinery inspectable
in the same way.
7.7.2
Concept associations
These associations name software objects and how to read them. They do not describe, predict, or prescribe any human
outcome.
• Boundary screen (b0-b5): a six-channel ledger of where “inside” is being drawn; each channel is a modeled line, not a
found ontology.
• Bitstream: the recorded values available to the finite artifact; “self” and “world” are frame-dependent readings over
that record.
• Separation prior sigma: a useful default that treats the self/world line as given until its finite value no longer pays.
• QRF sector relabeling: renaming the side assignments while keeping the recorded stream fixed.
• Separation-constrained profile: a frame that has committed to one cut and reads other assignments through that cut.
• Opacified profile: a frame in which a background channel has become available for direct inspection.
• Post-dual profile: a bookkeeping regime in which no channel is privileged as the self side.
• Organismic self-evidencing: the model’s continuing inferential and policy-selection function; this is not identity, per-
sonality, personhood, or health.
• Identified-with self: a conceptual contrast used to prevent conflating profile labels with ownership or attainment; the
artifact does not measure, reduce, or eliminate it.
• Bayesian model reduction: a thrift rule that keeps a prior where it earns predictive value and prunes it where it does
not.
• Indistinguishability: several admissible frames fit the same finite record, so the data cannot decide which frame is
ontologically real.
• Compassion scope-of-concern proxy: a bounded policy-scope radius, useful for auditing model assignments and never
a virtue measure.
• Criticality proxies: dial readings near a modeled transition regime, useful as gauges and never as goals.
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7.7.3
Profile prompts
Each prompt is an invitation to inspect a software artifact; none asserts that holding the question yields any insight, change,
or experience.
Separation-constrained. Which line is being read as given, and where did the model draw it? What is the separation prior
doing for this frame? Which of the six channels is being looked through rather than looked at?
Opacified. When a channel shifts from background to inspectable, what had it been carrying? Reading action, other, and
care side by side, what does the model now count that it previously absorbed into “self” or “world”? Did the recorded stream
change, or did the frame of inspection change?
Post-dual. With no privileged self/world cut on the screen, what is still organizing the file? Reading indistinguishability
directly, what does the data decide and what does it leave open? If the same bits admit several frames, which frame is still
being treated as the default?
7.7.4
Slogans for reflection
Aphorisms for reflection only; each names the no-self-evidence logic and claims no effect.
• Use the boundary; do not promote it.
• Same bits, different frames.
• The cut is drawn, not found.
• Inspect the channel you look through.
• A prior earns its keep or leaves.
• Relabel the sector; keep the stream fixed.
• Undecided by the data is a disciplined result.
• A gauge is not a goal.
• No channel owns “me.”
• What organizes the screen is also inspectable.
• A useful frame is not an ontological verdict.
• Hold the cut lightly; audit it strictly.
7.7.5
Reading order
This is optional scaffolding for inspecting artifacts in a chosen order. It is not a procedure, a practice with intended results,
a therapy, or a moral instruction, and it claims no effect of any kind; a reader may stop, reorder, or ignore any item. The
opacification arc gives one possible reading order, not a path.
1. Read the separation-constrained profile. Inspect its boundary-screen geometry in sec. 4.1 and the separation-prior life
cycle in sec. 3.3. The question is where the self/world line is being treated as given.
2. Read the opacified profile. Inspect where action, other, and care channels become visible in fig. 1, alongside the Bayesian
model reduction behavior in sec. 4.3. The question is which previously transparent channel is now inspectable.
3. Read under indistinguishability. Inspect the permission rule in fig. 3. The question is what the bits decide and what
they leave undecided.
4. Read the post-dual profile. Inspect its policy realization in sec. 4.4. The question is what organizes the file when no
cut is privileged.
5. Read the proxies as gauges. Inspect the compassion scope-of-concern proxy in sec. 7.4.1 and the criticality indicators
in sec. 7.3.1. The question is what these gauges report and what they do not claim.
The three bounded practice protocols can be mapped onto this order only as labeled reading lenses, with the same ceiling:
attentional opacification alongside item 2, dependent-origination inquiry alongside item 3, and compassion alignment alongside
item 5. The bounded model-intervention deltas behind them are rendered in fig. 15. Each lens is a way of organizing inspection
of the software, with no claimed outcome, and nothing in this section should be read as evidence of realization, clinical benefit,
neural change, contemplative attainment, or practice eﬀicacy.
7.8
Reproducibility Gates and Meta-Manuscript Record
This final supplement section is the meta-manuscript record. It collects the reproducibility commands, validation gates, claim
ceilings, source-map audits, local release ledgers, review-response hardening, dashboard checks, and supplemental limits that
make the paper inspectable without enlarging the main evidential claim. These checks are manuscript and software account-
ability surfaces. They are not empirical data, clinical evidence, neural measurement, contemplative-attainment evidence, or
physical qFEP realization.
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7.8.1
Reproducibility Gates
The local chain runs formalism generation, boundary-agent simulation, BMR sweeps, sensitivity sweeps, criticality and
practice maps, figure generation, sheaf composition, dashboard and review-response hardening, variable hydration, post-
hydration hash refresh, and output validation in a fixed order. The validation report records 428 passing output checks
across 428 total checks after the latest full-chain run.
The gates are fail-closed and cover the full surface, one family per check:
• Source hash: the attached PDF recorded in data/sources/source_manifest.yaml is verified against SHA-256 94e23
35c3a4a37b8d49039b11b45ccda25bad65d4b80aa15428b84abfba699ac.
• Formalism: all fourteen equations must be mapped to artifacts and boundaries.
• QRF: boundary-label indistinguishability holds across admissible relabelings, plus a failing negative control.
• Quantum and implemented extension engines: product-state and Bell-state entropy, mixed-state PPT and negativ-
ity, local and Tsirelson CHSH, basis invariance, CHSH measurement-cover normalization, no-signaling, local-polytope
feasibility, generic measurement-cover linear programs, CPTP channel-cost, trace-preserving dephasing, boundary-
Hamiltonian Lindblad trace/positivity/entropy, seeded quantum-trajectory norm/trace/PSD/reconstruction, exact and
sparse many-body cut sensitivity, sheaf obstruction, QRF transformation and frame covariance, the multipartite wit-
ness, tensor-network, collision-model, no-signaling-library, and n-cycle contextuality controls, with physical qFEP and
human-practice evidence explicitly blocked.
• Roadmap-TODO: future-only TODO rows may not duplicate implemented extension IDs.
• Dependency graph: quantum, stochastic, visual, claim, manuscript, dashboard, and render nodes must all be repre-
sented.
• Manifest: every generated data or figure output must appear in the artifact manifest.
• BMR and sensitivity: free-energy sign and boundary behavior must hold over the finite grids.
• pymdp: package diagnostics, normalized generative-model arrays, normalized state and policy posteriors, policy traces,
and seeded ensembles with null controls.
• Visual: source-map captions, rendered captions, accessibility metadata, figure reuse, figure placement, semantic palette
use, and renderer-layout telemetry must all pass.
• Structure: subsection titles, anchors, manuscript references, and figure numbering must remain machine-auditable.
• Practice and language: user-facing eﬀicacy claims are rejected, and the manuscript gate rejects unresolved citations
and positive realization, clinical, or neural-measurement language.
The public claim IDs checked by the manuscript audit are source_boundary_unevidenceable; separation_prior_sigma;
bmr_prunes_sigma;
practice_protocol_boundary;
qfep_surrogate_scope;
quantum_separability_entropy;
quan-
tum_contextuality_witness; quantum_measurement_contextuality; quantum_open_system_dephasing; pymdp_runtime_canary;
criticality_proxy_boundary; compassion_proxy_boundary; self_evidencing_boundary; metacognitive_access_model; and
artifact_release_readiness.
Figure 46: Manuscript claim audit for citation resolution, public claim-ID visibility, and forbidden positive-eﬀicacy language.
The pass/fail color legend makes the local language gate visible while preserving the boundary that passing bars do not
certify empirical truth.
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7.8.2
Claim Reading Guide and Evidence Ceilings
Public claims are treated as typed interface objects rather than free prose. Each claim ID has a reader-facing sentence, a paper
locator when the claim recapitulates Sandved-Smith et al.’s source argument, a source-role rationale, an artifact, a validation
gate, an evidence class, an allowed interpretation, a prohibited inference, a future-evidence boundary, manuscript-section
bindings, and figure bindings. The claim-context ledger is generated from the source crosswalk, scholarship manifest, claim-
support audit, evidence-ceiling audit, and source-argument coverage audit; it therefore checks whether a claim is readable in
the paper, whether its support source has the correct role, and whether the validation gate is actually resolved.
Evidence ceilings are encoded in the crosswalk because limitations should not depend on a reader noticing a prose caveat.
Each claim row names a prohibited inference, a future evidence requirement, and one or more boundary stressors. The
stressors cover surrogate scope, empirical gaps, runtime dependencies, source-role limits, practice boundaries, quantum gaps,
neural-measurement boundaries, and normative boundaries. No citation count upgrades an evidence class: source support
licenses a vocabulary or method context, while the artifact gate checks only the finite software behavior declared for that
class.
The claim-context evidence ladder makes the public claim surface readable, and the evidence-ceiling stress matrix is its
adversarial companion: it marks which stronger readings remain disallowed even when a figure, source row, or validation
gate passes. In fig. 47 the bar length reports scoped source-role count, the gate marker reports whether the validation gate
resolves, and the blocked marker records the stronger reading that remains prohibited. A longer bar therefore means broader
source-role context, not a higher evidence class.
Figure 47: Claim-context evidence ladder grouping every public claim by evidence class, scoped source-role count, resolved
validation gate, and blocked stronger reading. Horizontal bars encode source-role count, circular markers encode gate pres-
ence, and hatched amber blocks encode prohibited empirical, neural, clinical, practice-eﬀicacy, awakening, or physical qFEP
inferences, so the figure explains how to read claims without adding evidence beyond the ledger.
The stress matrix then separates apparently similar claims by failure mode. The QRF and sigma rows are source-role and
surrogate-bound because they recapitulate a formal no-self-evidence argument over finite boundary channels. The BMR
row is software-comparison bounded because pruning follows from the declared grid, not from human contemplative data.
The pymdp runtime row is dependency-bound because it asserts a pinned implementation surface. The quantum rows are
quantum-method bounded because they check finite density matrices, contextuality covers, channels, and trajectories without
becoming a physical qFEP realization. The criticality, compassion, and practice rows are proxy or safety bounded because
their local artifacts are modeled interfaces and stochastic indicators, not empirical measurements or eﬀicacy evidence.
7.8.3
Figure Source Maps and Visual QA
Every figure in the manuscript is generated from JSON or CSV artifacts under output/data/ or output/reports/. The
source map records figure IDs, paths, captions, alt text, visual encodings, source artifacts, render contracts, and renderer-level
layout telemetry for text overlaps, title collisions, cropped free-positioned text, and legend/axis collisions. The visual-caption
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## Page 51

Figure 48: Evidence-ceiling stress matrix showing which public claims are bounded by surrogate, empirical, practice, source-
role, runtime, quantum, neural, or normative constraints. Rows are grouped by claim class and the binary colorbar marks
active stressors, making clear that support, simulation, and validation gates keep prohibited inferences explicit rather than
converting finite software checks into empirical, neural, clinical, practice-eﬀicacy, awakening, or physical qFEP evidence.
audit checks source-map caption length, source artifacts, boundary phrases, and legend/colorbar explanations; the rendered-
caption audit checks the actual composed manuscript captions that readers see in the PDF; the accessibility audit checks
alt text, source-data alternatives, non-color encodings, and axis or unit language; the integrity and legibility audits record
hashes, dimensions, nonblank pixel variance, readable text contracts, and layout failures. Validation recomputes those fields
from disk before accepting the artifact set, so replacing a PNG or creating an unreadable layout without regenerating the
audit fails.
The visual surface includes a cover graphical abstract, the three ordered QRF lead figures for boundary geometry, b0-b5
relabeling, and invariance/policy flow, finite quantum and stochastic simulation panels, BMR decomposition and pruning
maps, active-inference traces, scholarship and claim-governance matrices, and supplemental-only audit visuals. Captions are
treated as claim-boundary metadata: simulated figures must say what they simulate, what the colors or legends encode, and
which empirical or physical claims remain outside the figure. Supplementary prose lists source-map and validation contracts
rather than reprinting numbered main-text figures.
The scholarship and claim-governance visuals audit support and presentation rather than adding model behavior.
The
scholarship matrix records source-role coverage by track; the claim-support matrix lists which public claim IDs have scoped
citation support; the claim-source-validation graph links claims to source roles and validation gates; and the semantic palette
ledger freezes color and hatch meanings across figures. These panels make the manuscript easier to audit, but they are not
evidence for no-self, practice eﬀicacy, neural criticality, or physical qFEP realization.
The pymdp runtime dashboard is supplemental for the same reason: it audits whether the active-inference surface is re-
producible, normalized, and recomputable from saved arrays.
Its panels summarize model normalization, posterior and
expected-free-energy residuals, deterministic replay, runtime dependency diagnostics, and selected stochastic/null contrasts;
they are validation checks for the software interface, not additional model-behavior evidence and not empirical data.
The method assumption/failure map gives the same treatment to the method engines themselves. Rows are method engines;
columns record hard constraints, modeling choices, assumptions, evidence ceilings, and falsification controls. The matrix
makes soft assumptions visible at the same level as successful checks, which is the FirstPrinciples point of the project: a
method is not stronger because its figure is beautiful; it is stronger when its assumptions, failure modes, and forbidden
inferences are inspectable.
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## Page 52

Figure 49: Supplemental pymdp runtime validation dashboard for the structured event log. Panels report model normal-
ization, runtime recomputation residuals, replay controls, and the largest seeded profile-null contrasts; colors, legends, and
tolerance lines mark QA status only, not empirical, clinical, neural, practice-eﬀicacy, awakening, or physical qFEP evidence.
7.8.4
Release, Review Response, and Limits
The local release and review-response artifacts are recorded here because they are reproducibility metadata, not new scientific
results. The artifact release manifest hashes manifest-listed outputs and rerun files so stale files are visible. The external
review-response audit records implemented local deltas and keeps the public-reproduction item blocked until an external
archive, DOI, or independent reproduction exists. The figure parameter ledger gives every figure a traceable source row.
The QRF label-ablation audit checks that neutral channel renaming does not create semantic dependence. The independent
quantum cross-check repeats CHSH and local-polytope controls. The BMR alternative-prior audit records comparator-family
verdicts [Pineau et al., 2020, Talts et al., 2018, Gelman et al., 2020].
These records support reproducible local inspection only. They do not certify a public release, a community reproduction,
human-subject validation, clinical safety, contemplative eﬀicacy, neural measurement, or physical qFEP dynamics.
The limits are part of the same release record. The supplemental gates improve reproducibility and adversarial clarity, not
evidential scope. They do not:
• instantiate the source paper’s quantum-information dynamics or a physical realization of the quantum free-energy
principle;
• settle the no-self-evidence thesis, or evidence it through contemplative observation or neural measurement;
• quantify compassion or well-being, or establish the eﬀicacy of any practice;
• provide clinical outcomes, developmental landmarks, or awakening criteria.
They define the current software boundary within which future visualization, empirical adapters, and practice-interface work
can be developed without laundering unsupported claims.
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## Page 53

Figure 50: Scholarship coverage by source role and manuscript track. The binary colorbar encodes whether a source supports
a track, separating primary recapitulation, implementation anchors, background theory, proxy context, and limitations so
citation density cannot launder unsupported claims.
Figure 51: Public claim support by citation key, restricted to claims that appear in the source crosswalk and grouped by
evidence class. The binary colorbar marks scoped support links while row separators expose formal, finite-simulation, runtime,
proxy, and boundary claims; a support link licenses vocabulary or method scope only and does not upgrade an evidence
ceiling.
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## Page 54

Figure 52: Claim-source-validation graph linking each public claim to its source role and validation gate. The node and edge
legend identifies claim, source, gate, and binding colors so the figure remains an audit map for claim governance, not an
additional evidence source.
Figure 53: Shared visual semantic palette ledger for the publication figures. Color swatches and hatch marks bind pass, fail,
keep, prune, finite, blocked, stochastic, null-control, quantum, and boundary roles to stable encodings so figure colors cannot
silently change meaning; this is a visualization QA artifact, not a source of empirical evidence.
53

## Page 55

Figure 54: Method assumption and falsification map for the finite software chain. The binary colorbar and cell text show
whether each method declares hard constraints, modeling choices, assumptions, evidence ceilings, and negative controls,
making verifier-first governance visible without treating the method ledger as empirical or physical qFEP evidence.
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## Page 56

Figure 55: Operational status map for paper equations 1-14, distinguishing source mapping, finite computation, surrogate
boundaries, and validation value bindings.
The binary colorbar shows which statuses apply, including finite two-qubit
quantum controls where implemented and roadmap boundaries where open-system qFEP claims are not yet simulated.
55

## Page 57

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60


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*Extraction method: pymupdf*
