A Locked Dossier for Testing the Accessibility-Critical Residual | Pre-Registered Empirical Protocol for CBR in Record-Accessibility Interferometric Data

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Abstract

Constraint-Based Realization, or CBR, proposes that individual quantum outcome realization is not supplied by probability assignment or decoherence alone, but by a context-fixed constrained-selection rule over admissible realization candidates. Because realization itself is not directly observable, a CBR instantiation can be empirically adjudicated only through a registered operational endpoint. This paper defines a locked-dossier protocol for such adjudication.

The purpose of the protocol is not to re-argue CBR as a whole, nor to propose a new empirical signature. Its purpose is narrower: to state the registration conditions under which an accessibility-critical residual becomes testable, supportable, defeatable, inconclusive, or incompletely registered. The object tested by the dossier is not “CBR in general,” but a specific registered failure object, denoted F_CBR, consisting of the fixed law-form objects, accessibility bridge, baseline model class, nuisance structure, endpoint statistic, predicted endpoint, statistical rule, validity gates, and verdict rule.

The measurable endpoint is the accessibility-critical residual: the pre-registered residual structure of observed interference visibility, V_obs(η), from a validated standard quantum/decoherence/nuisance baseline, V_ℬ(η), as record-accessibility η is varied across a declared critical accessibility regime I_c or N(η_c). The residual is not realization itself. It is not the law itself. It is the operational footprint a registered CBR instantiation commits itself to only when record-accessibility enters the realization-burden functional ℛ_C nontrivially and is connected to the observable through a declared empirical bridge.

The protocol fixes, before data interpretation, the measurement context C, admissible candidate class 𝒜(C), operational equivalence relation ≃_C, realization-burden functional ℛ_C, accessibility variable η, critical accessibility regime, baseline model class 𝔅, baseline curve V_ℬ(η), nuisance envelope B_𝓝(η), critical nuisance bound B_c, detectability threshold ε_detect, decision threshold Θ_c = B_c + ε_detect, endpoint statistic T_c, predicted endpoint T_CBR, visibility estimator, validity gates, statistical rule, and verdict rule. The possible statuses are restricted to registered support, registered failure, inconclusive exposure, incomplete registration, or exploratory analysis.

No post hoc change to F_CBR may rescue a failed registered instantiation. The result is a locked empirical standard for CBR: not a claim to directly observe realization, but a disciplined test of whether a specific realization-law instantiation has made itself empirically answerable.

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SECTION 1. Purpose of the Locked Dossier

The purpose of this paper is to define the conditions under which a CBR residual test becomes adjudicative.

This is not a general exposition of CBR. It is a registration standard. Its function is to prevent the accessibility-critical residual from being selected, redefined, relocated, softened, or rescued after the result is known.

CBR is not tested by asking whether a quantum eraser, interferometer, or delayed-choice arrangement “looks interesting.” It is tested only when a specific instantiation is fixed before data interpretation and tied to a determinate empirical endpoint.

That endpoint is the accessibility-critical residual.

In the setting considered here, the locked question is: Does the observed visibility curve V_obs(η) depart from the registered standard quantum/decoherence/nuisance baseline V_ℬ(η), inside the declared critical accessibility regime, by more than the registered decision threshold Θ_c, in the form predicted by the registered CBR instantiation?

The locked dossier exists to fix that question before analysis.

1.1 The Tested Object

The object being tested is not CBR in general.

The tested object is the registered failure object:

F_CBR = {C, 𝒜(C), ≃_C, ℛ_C, η, bridge, η_c/I_c/N(η_c), 𝔅, V_ℬ(η), B_𝓝(η), B_c, ε_detect, Θ_c, T_c, T_CBR, residual morphology, uncertainty convention, statistical rule, visibility estimator, data-inclusion rule, validity gates, verdict rule}.

This object defines the test. It determines what receives support, what fails, what remains inconclusive, and what was never sufficiently registered to be adjudicated.

A strong null defeats F_CBR, not an undefined broader theory. A positive result supports F_CBR relative to the registered baseline and nuisance class. An incomplete dossier does not expose the instantiation to support or failure.

1.2 Lock-Status Taxonomy

A locked-dossier protocol requires a clear distinction among five statuses.

Registered means the required law-form objects, empirical bridge, endpoint, baseline model class, nuisance structure, detectability threshold, statistical rule, and verdict rule have been fixed before data interpretation.

Incomplete means one or more required objects are missing. An incomplete instantiation may be conceptually meaningful, but it is not yet exposed to support or failure.

Exploratory means data are being used to generate, refine, or motivate a future registered model. Exploratory analysis may be useful, but it cannot count as registered support.

Inconclusive means the model was registered, but the test conditions failed: calibration, bridge adequacy, baseline validation, nuisance control, detectability, sampling, statistics, or data adequacy was insufficient.

Failed means the registered instantiation predicted a detectable endpoint, the test was valid, and the endpoint was absent under the registered decision rule.

This taxonomy prevents a common confusion. Incomplete registration is not failure. Inconclusive exposure is not support. Exploratory residual discovery is not registered evidence. Registered failure is not defeat of every possible CBR model.

1.3 Principle — Pre-Data Fixity

Principle — Pre-Data Fixity.
A CBR residual test is adjudicative only if the law-form objects, accessibility bridge, critical regime, baseline model class, nuisance envelope, detectability threshold, endpoint statistic, predicted endpoint, statistical rule, validity gates, and verdict rule are fixed before data interpretation.

This principle is the foundation of the locked-dossier paper.

Without pre-data fixity, the residual may be fitted after the fact, the critical regime may be moved, the baseline may be weakened, the nuisance envelope may be widened, or the verdict rule may be softened. In that case, the test is not adjudicative. It is exploratory.

1.4 Methodological Purpose

The dossier prevents four failures.

First, it prevents post hoc endpoint selection, in which the residual is defined after inspecting the data.

Second, it prevents baseline weakness, in which CBR is compared against an artificially narrow or idealized ordinary model.

Third, it prevents nuisance misattribution, in which ordinary detector drift, calibration uncertainty, sampling error, decoherence uncertainty, or estimator instability is mistaken for a law-level footprint.

Fourth, it prevents post hoc rescue, in which a failed instantiation is saved by changing the locked objects after the observed curve is known.

The dossier is therefore a precondition for empirical seriousness. Without it, a residual may be suggestive. It may motivate a new hypothesis. It may justify future registration. But it cannot adjudicate a registered CBR instantiation.

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SECTION 2. Core Claim

The central claim of this protocol is: CBR does not measure realization directly. It tests whether a specific registered realization-law instantiation, represented by F_CBR, leaves a measurable accessibility-critical residual under locked empirical conditions.

This paper does not establish CBR. It determines whether a particular CBR instantiation has made itself empirically answerable.

2.1 Law, Endpoint, and Verdict

The law is not the residual.
The residual is not realization.
The residual is not an unexplained anomaly.
The residual is not evidence merely because it appears after baseline subtraction.

The law-form is the constrained-selection structure by which CBR represents outcome realization within a fixed context:

Φ∗C ∈ argmin{Φ ∈ 𝒜(C)} ℛ_C(Φ), up to ≃_C.

The accessibility-critical residual is the registered empirical endpoint through which a particular bridge-equipped instantiation of that law-form becomes vulnerable to support, failure, or inconclusive exposure.

The hierarchy is: The law is constrained selection. The residual is the fingerprint. The strong null is the wound.

2.2 Decision Structure

For this protocol, that hierarchy is implemented through a locked decision structure.

A registered CBR instantiation must specify the relation among:

T_CBR — the predicted endpoint magnitude, structure, or morphology;
T_c — the observed endpoint statistic inside the critical accessibility regime;
Θ_c = B_c + ε_detect — the registered nuisance-plus-detectability threshold.

The verdict logic is fixed as follows.

Registered support requires that the observed endpoint exceed the decision threshold under valid conditions and match any registered residual morphology.

Registered failure requires that the instantiation predicted a detectable endpoint, but the observed endpoint remained inside the registered threshold, or failed to show the registered morphology, under conditions capable of detecting the predicted effect.

Inconclusive exposure occurs when calibration, bridge adequacy, baseline validation, nuisance control, detectability, sampling, statistical adequacy, or data adequacy is insufficient.

Incomplete registration occurs when the model has not specified enough of F_CBR to be adjudicated.

Exploratory analysis occurs when data are used to construct or motivate a future registered instantiation rather than to test an already locked one.

2.3 Protocol/Theory Separation

This paper should not be read as a proof of CBR, nor as a substitute for a platform-specific numerical model. Its claim is methodological.

It defines the conditions under which a CBR instantiation becomes testable.

It does not claim that every CBR instantiation is already testable.
It does not claim that every residual supports CBR.
It does not claim that a positive residual would prove CBR uniquely.
It does not claim that a failed instantiation defeats all possible realization-law proposals.

Its central claim is more precise: A CBR instantiation becomes empirically adjudicable only when it locks the complete failure object F_CBR before data interpretation.

2.4 Transition

The locked-dossier protocol therefore begins with the registered instantiation itself. Before η, residuals, baselines, thresholds, or verdicts can matter, the law-form objects must be fixed.

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SECTION 3. Registered CBR Instantiation

A CBR residual test must begin by fixing the law-form objects before data interpretation. The empirical endpoint has no adjudicative force unless the underlying instantiation is already defined.

The registered instantiation specifies the object being tested. It determines which model receives support, which model fails, which test is inconclusive, and which proposed analysis remains incomplete or exploratory.

3.1 Measurement Context C

Let C denote the fixed measurement context.

For this protocol, C is a record-accessibility interferometric context in which an interference observable is measured while outcome-defining record-accessibility is varied.

C must specify, at minimum:

the physical platform,
the interferometric arrangement,
the measurement basis,
the record structure,
the accessibility-control mechanism,
the visibility-estimation procedure,
the data-inclusion rules,
the calibration procedures,
and the conditions under which the test is considered valid.

No change to C after data inspection is permitted. If the platform, estimator, inclusion rule, measurement basis, or validity condition is changed after the result is known, the original registered instantiation has not been rescued. A new instantiation has been created.

3.2 Admissible Candidate Class 𝒜(C)

Let 𝒜(C) denote the admissible class of realization-compatible candidates in context C.

The candidate class may include only candidates satisfying the physical, operational, and contextual constraints of the registered measurement situation. The admissible class is not the set of all imaginable outcomes or all formally describable alternatives. It is the set of candidates that remain viable under the registered constraints of C.

The admissible class must be fixed before data interpretation. It cannot be expanded after observing the visibility curve in order to accommodate an unexpected result.

This requirement prevents the residual test from becoming circular. If the candidate class changes after the outcome, the model no longer exposes the original instantiation to failure.

3.3 Operational Equivalence ≃_C

Let ≃_C denote operational equivalence within C.

If two candidate descriptions make no operationally distinguishable difference under the registered measurement conditions, they are treated as equivalent for purposes of the test. This prevents formal distinctions with no empirical consequence from being counted as distinct realization candidates.

Operational equivalence is essential for a locked empirical test. Without it, the model could multiply candidate descriptions without changing any observable consequence. The relevant candidate space is therefore 𝒜(C) considered up to ≃_C.

3.4 Realization-Burden Functional ℛ_C

Let ℛ_C denote the context-fixed realization-burden functional.

ℛ_C orders admissible candidates before the realized outcome is known and before the empirical endpoint is interpreted. Its role is not to redescribe the observed result. Its role is to specify the burden structure under which CBR represents realization as constrained selection within C.

The canonical selection form is:

Φ∗C ∈ argmin{Φ ∈ 𝒜(C)} ℛ_C(Φ), up to ≃_C.

This is the registered law-form.

It is not the observable endpoint.

The observable endpoint is the accessibility-critical residual produced by a bridge-equipped empirical instantiation of this law-form.

3.5 Instantiation Completeness

A registered CBR instantiation is not complete merely because C, 𝒜(C), ≃_C, and ℛ_C have been named. For empirical adjudication, the instantiation must also specify the bridge from η to V_obs(η), the critical accessibility regime, the baseline model class, nuisance envelope, detectability threshold, endpoint statistic, predicted endpoint, statistical rule, and verdict logic.

Thus, the law-form registry is necessary but not sufficient.

A CBR instantiation becomes test-ready only when its formal law objects and empirical endpoint objects are jointly locked as F_CBR.

3.6 Lock Status of the Instantiation

At the level of the law-form registry, an instantiation may have one of three statuses.

It is formally registered if C, 𝒜(C), ≃_C, and ℛ_C are fixed before data interpretation.

It is empirically registered only if the full failure object F_CBR is fixed.

It is incompletely registered if one or more objects required for adjudication are missing.

This distinction matters because a formally registered CBR law-form is not necessarily an empirically registered CBR test. A law-form can be conceptually meaningful before it is experimentally adjudicable.

3.7 Transition

The next required object is the accessibility variable η. Without a registered η, the dossier cannot state where record-accessibility enters the burden structure, where the residual is expected, or how the endpoint is to be evaluated.

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SECTION 4. Registered Accessibility Variable η

Let η denote the registered operational record-accessibility variable.

η measures accessible outcome-defining record information within the registered measurement context C. It is not consciousness, subjective awareness, human attention, or metaphysical observation. It is a physical-operational parameter used to quantify the availability of record information relevant to the tested context.

Depending on the dataset or platform, η may be constructed from: which-path distinguishability,
path knowledge, polarization marking strength, eraser-basis condition, coincidence-selection accessibility, record-retention probability, or another registered accessibility proxy.

The exact definition of η must be fixed before analysis. The calibration procedure must also be fixed. It is not enough to state that accessibility “varies.” The dossier must specify how η is assigned, measured, estimated, or bounded, and how uncertainty in η enters the endpoint analysis.

4.1 η as a Registered Variable

η is part of the registered failure object F_CBR. It cannot be moved, redefined, rescaled, or reinterpreted after inspecting V_obs(η).

If η is reconstructed after observing the residual curve, the analysis is no longer a locked test. It becomes exploratory model construction. Such a result may motivate a future registered test, but it cannot count as registered support for the original instantiation.

4.2 η and the Empirical Bridge

η matters empirically only if the registered instantiation specifies how it enters ℛ_C and how variation in η maps into the observable endpoint V_obs(η).

The bridge condition is therefore:

η must be operationally calibrated, connected to ℛ_C, and mapped to V_obs(η) before residual evaluation.

Without this bridge, η is only a descriptive variable. It does not yet expose the CBR instantiation to support or failure.

4.3 Critical Accessibility Regime

The dossier must declare the accessibility region in which the predicted residual is to be evaluated.

This may be:

η_c — a critical accessibility value,
I_c — a critical accessibility interval, or
N(η_c) — a neighborhood of η_c.

The critical regime must be selected before comparison with V_obs(η). It cannot be chosen because the observed curve later appears unusual there.

A valid declaration of I_c or N(η_c) should include a justification. The justification may be theoretical, model-specific, simulation-based, or platform-specific, but it must not be derived from the observed residual after the fact.

4.4 η Lock Status

η can have one of four lock statuses.

η is registered if its definition, calibration method, uncertainty treatment, and bridge role are fixed before data interpretation.

η is incomplete if one or more of those elements is missing.

η is exploratory if it is reconstructed, tuned, or selected after inspecting the data.

η is failed for the test if it was registered but calibration or implementation failed during the experiment, making exposure inconclusive.

These distinctions prevent a failed η calibration from being confused with a failed CBR instantiation. They also prevent exploratory reconstruction of η from being mistaken for registered support.

4.5 Failure of η Registration

If η is not adequately defined, calibrated, or connected to the observable endpoint, the correct verdict is not support and not failure. It is inconclusive exposure or incomplete registration, depending on the nature of the defect.

If η was specified but calibration failed during the test, the exposure is inconclusive.

If η was never specified with enough precision to support adjudication, the instantiation is incompletely registered.

If η was reconstructed after observing the data, the analysis is exploratory.

This distinction matters. A failed η calibration does not defeat CBR. It means the test did not validly expose the model. An unspecified η means the model was not yet ready to be tested. A post hoc η means the analysis may motivate a future model, but it cannot adjudicate the original one.

4.6 Transition

The accessibility variable η is therefore not an interpretive label. It is a registered empirical object. Once η is fixed, calibrated, and connected to the observable endpoint, the dossier can declare the critical regime and define the residual test through which the registered CBR instantiation becomes empirically exposed.

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SECTION 5. Critical Accessibility Regime

A registered CBR instantiation must declare the accessibility regime in which its predicted endpoint is to be evaluated.

This declaration is not optional. The accessibility-critical residual is adjudicative only if the model states, before data interpretation, where the accessibility-sensitive effect is expected to appear. Without a declared critical regime, the residual can be located after inspecting the data, and the test loses its status as a locked empirical exposure.

The critical regime may be specified as:

η_c — a declared critical accessibility value,
I_c — a declared critical accessibility interval, or
N(η_c) — a declared neighborhood of η_c.

The critical regime is the region in η-space where the registered CBR instantiation predicts the accessibility-sensitive residual to be strongest, most identifiable, or most decision-relevant. It is not a region selected because the observed residual later appears large there.

5.1 Pre-Data Declaration

The locked rule is:

η_c, I_c, or N(η_c) must be declared before computing the final endpoint statistic T_c.

This rule prevents post hoc critical-region selection. If the critical region is chosen after inspecting V_obs(η) or the residual curve r(η), then the analysis is exploratory rather than registered. It may motivate a future model, but it cannot adjudicate the present instantiation.

5.2 Critical-Regime Justification

The dossier must state why the declared regime is relevant. The justification may be theoretical, model-specific, simulation-based, platform-specific, or derived from the registered structure of ℛ_C. It must not be derived from the observed residual after data inspection.

A valid declaration should specify:

the selected regime,
the reason it is critical,
the η-resolution required inside the regime,
the minimum sampling density required for evaluation,
the expected residual form or morphology, where applicable,
and the conditions under which the regime is considered adequately covered by the data.

This matters because a critical regime is not merely a location label. It is part of the test object. If the regime is not specified with enough precision to support endpoint computation, the instantiation is incompletely registered.

5.3 Data-Adequacy Condition for the Critical Regime

The dataset must adequately cover the declared critical regime.

At minimum, the data must contain sufficient η coverage, sampling density, visibility resolution, uncertainty estimates, and calibration information inside I_c or N(η_c) to compute T_c under the registered statistical rule.

If the data do not adequately sample the declared critical regime, the test cannot support or fail the instantiation. The proper status is inconclusive exposure if the regime was registered but not adequately measured, or incomplete registration if the required coverage standard was never specified.

This condition is especially important for public-data reanalysis. Existing quantum eraser or wave-particle data may be useful for pilot analysis, but they cannot adjudicate the locked CBR endpoint unless the declared critical regime is sufficiently represented in the available measurements.

5.4 Lock Status of the Critical Regime

The critical regime can have four lock statuses.

It is registered if η_c, I_c, or N(η_c) is fixed before data interpretation and justified independently of the observed residual.

It is incomplete if the model says a critical region exists but fails to specify its location, width, justification, morphology expectation, or sampling requirements.

It is exploratory if the region is selected after inspecting the residual curve.

It is non-adjudicative for the test if the region was registered but the data do not adequately sample it.

Only the first status permits adjudication. Incomplete, exploratory, or under-sampled critical regimes yield incomplete registration or inconclusive exposure, not support or failure.

5.5 Transition

Once the critical accessibility regime is fixed and shown to be data-adequate, the dossier must define what ordinary physics predicts across that regime. That requires a registered baseline model class.

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SECTION 6. Baseline Model

Let 𝔅 denote the registered baseline model class, and let V_ℬ(η) denote the baseline visibility curve selected, fitted, or bounded from that class under registered rules.

The baseline is not an idealized quantum prediction. It is the strongest ordinary explanation available for the platform before any CBR-specific residual is invoked.

The baseline model class 𝔅 should include, where relevant: standard quantum prediction, decoherence, detector inefficiency, dark counts, phase drift, finite sampling error, calibration uncertainty, environmental noise, alignment uncertainty, visibility-estimator uncertainty, and other registered ordinary nuisance effects.

CBR does not receive support by defeating a weak or artificially narrow baseline. The accessibility-critical residual matters only after ordinary quantum/decoherence/nuisance physics has been given its strongest registered expression.

Therefore: CBR does not compete against a weak baseline. It competes against the strongest ordinary baseline model class the platform can justify.

6.1 Baseline-Class Guardrail

The baseline model class must be disciplined in both directions.

It must be broad enough to include legitimate standard quantum, decoherence, detector, calibration, sampling, and platform-specific nuisance explanations.

But it must not be so broad that it can absorb any possible residual by construction.

A baseline class that is too narrow creates false support.
A baseline class that is too elastic prevents failure.

The valid baseline class is therefore: strong enough to protect against false attribution, but fixed enough to preserve possible failure.

This guardrail is essential to the locked-dossier standard. CBR cannot claim significance by comparing itself against an artificially weak ordinary model. But the ordinary model class also cannot be made so flexible after the fact that no registered residual could ever count.

6.2 Baseline Registration

The dossier must specify:

the baseline model class 𝔅,
the method by which V_ℬ(η) is selected or fitted from 𝔅,
the uncertainty associated with V_ℬ(η),
the ordinary effects included in the baseline,
the ordinary effects excluded from the baseline and why,
the parameter-fitting rules,
the validation procedure,
and the rule under which a candidate residual is considered absorbable by 𝔅.

If the baseline is adjusted after seeing the residual curve, the analysis is no longer locked. A revised baseline may define a new model or reanalysis, but it cannot rescue the original registered verdict.

6.3 Baseline Anti-Overfitting Rule

The baseline model class 𝔅 must not be refit, expanded, re-parameterized, or reinterpreted after inspecting the residual curve in a way that changes the registered verdict.

If the observed residual is absorbed only by adding new baseline terms, changing the model class, widening parameter freedom, altering the fitting rule, or changing the validation standard after data interpretation, then the original locked test has not been preserved.

Such a modification may be scientifically useful. It may define a new baseline class or a new registered analysis. But it does not rescue the original dossier.

The locked rule is:

A new baseline creates a new test object. It does not save the failed or unsupported one.

6.4 Baseline Adequacy

A baseline is adequate only if it can answer the following question:

What visibility behavior should be expected across the declared critical regime if no CBR-specific accessibility-critical residual is present?

If the baseline cannot answer that question with sufficient precision, the result is inconclusive. A residual cannot support CBR if the ordinary baseline has not been adequately established.

Similarly, a null result cannot defeat CBR if the baseline is too unstable to determine whether the predicted endpoint should have been visible.

6.5 Baseline Lock Status

The baseline can have four lock statuses.

It is registered if 𝔅, V_ℬ(η), the fitting rule, uncertainty convention, and absorption rule are fixed before data interpretation.

It is incomplete if the ordinary model class or fitting procedure is not specified enough to determine residual separation.

It is exploratory if baseline modeling is revised after inspecting the residual.

It is non-adjudicative for the test if the baseline was registered but later fails validation under the test conditions.

Only a registered and validated baseline permits support or failure.

6.6 Transition

The baseline defines the ordinary expected visibility curve. The next required object is the nuisance envelope: the registered range of ordinary deviations from that baseline that do not count as CBR support.

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SECTION 7. Nuisance Envelope

Let B_𝓝(η) denote the registered nuisance envelope.

B_𝓝(η) is the range of deviations from V_ℬ(η) attributable to ordinary non-CBR effects. It defines how much departure from the baseline can be absorbed by detector behavior, calibration uncertainty, decoherence-model uncertainty, finite sampling, or other registered platform effects.

The nuisance envelope may include, where relevant:

detector drift,
calibration uncertainty,
decoherence-model uncertainty,
phase instability,
sampling variation,
background counts,
alignment errors,
visibility-estimator uncertainty,
and other platform-specific non-CBR deviations.

A residual inside B_𝓝(η) does not count as CBR support.

It is already accounted for by the ordinary uncertainty structure.

7.1 Critical-Regime Nuisance Bound

For adjudication inside the declared critical regime, the dossier must define a critical nuisance bound.

A standard choice is:

B_c = sup_{η ∈ I_c} B_𝓝(η).

If the endpoint statistic is normalized, integrated, morphology-sensitive, or model-comparison based, then B_c must be defined in the corresponding registered units.

The role of B_c is to convert the nuisance envelope into a decision-relevant bound across the exact region where the registered CBR instantiation predicted its residual.

7.2 Nuisance Registration

The dossier must specify:

the sources included in B_𝓝(η),
the method for estimating or bounding each source,
the propagation of uncertainties into B_c,
the confidence or error-control convention used,
the relation between B_𝓝(η) and the statistical rule,
and the rule under which a residual is considered nuisance-absorbable.

If B_𝓝(η) is widened after observing the residual, the model has not preserved the original test. If B_𝓝(η) is too narrow, ordinary imperfections may be mistaken for a law-level endpoint.

7.3 Nuisance Adequacy

A nuisance envelope is adequate only if it is conservative enough to absorb ordinary platform variation but not so elastic that it eliminates the possibility of support or failure.

If the nuisance envelope cannot be justified, the test is inconclusive. If the nuisance envelope is changed after the result, the original dossier is no longer the tested object.

The nuisance envelope must therefore satisfy the same two-sided discipline as the baseline model class:

too narrow creates false support; too broad prevents adjudication.

7.4 Nuisance Anti-Rescue Rule

The nuisance envelope cannot be expanded after a residual appears in order to absorb the residual and avoid support or failure.

Such expansion may define a new analysis. It may motivate a revised nuisance model. But it does not preserve the original locked test.

The locked rule is:

A new nuisance envelope creates a new test object. It does not rescue the original dossier.

7.5 Nuisance Lock Status

The nuisance envelope can have four lock statuses.

It is registered if B_𝓝(η), B_c, uncertainty propagation, and nuisance-absorption rules are fixed before data interpretation.

It is incomplete if ordinary deviations are acknowledged but not sufficiently bounded.

It is exploratory if nuisance terms are added, removed, widened, or reweighted after inspecting the residual.

It is non-adjudicative for the test if the nuisance envelope was registered but fails validation under experimental conditions.

Only a registered and adequate nuisance envelope permits support or failure.

7.6 Transition

The nuisance envelope defines what ordinary variation can absorb. The next object defines how large a residual must be before the platform can distinguish it from that ordinary variation.

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SECTION 8. Detectability Threshold

Let ε_detect denote the registered detectability threshold.

ε_detect specifies the minimum residual magnitude required for the experiment to distinguish a CBR-relevant endpoint from baseline-plus-nuisance behavior. It is not a rhetorical margin. It is a platform-specific sensitivity condition.

A valid CBR test requires the registered predicted endpoint to exceed the detectability threshold. If the predicted endpoint is smaller than the experiment can detect, then a null result cannot defeat the model.

Thus:

A test can fail a registered CBR instantiation only if the predicted endpoint is detectable.

8.1 Decision Threshold

The nuisance bound and detectability threshold combine into the registered decision threshold:

Θ_c = B_c + ε_detect.

The decision threshold is the minimum endpoint separation required for adjudication inside the critical accessibility regime.

The relation among T_CBR, T_c, and Θ_c determines the verdict.

Registered support requires that the observed endpoint statistic exceed the decision threshold under valid conditions.

Registered failure requires that the model predicted a detectable endpoint exceeding the decision threshold, but the observed endpoint did not exceed it under valid conditions.

Inconclusive exposure occurs when detectability, nuisance control, sampling, baseline validation, statistical adequacy, or data adequacy is insufficient.

8.2 Detectability Registration

The dossier must specify:

how ε_detect is calculated,
which sources of uncertainty enter the detectability analysis,
the required sampling density across I_c,
the required phase or visibility resolution,
the statistical power requirement,
the confidence or error-control convention,
and the conditions under which the platform is considered sensitive enough to detect T_CBR.

If ε_detect is not registered, the model cannot claim a strong null. If ε_detect is adjusted after observing the data, the original test has been changed.

8.3 Data-Adequacy Condition

The dataset must contain enough information to compute T_c under the registered statistical rule.

At minimum, the data must provide adequate η coverage, sampling density, visibility resolution, uncertainty estimates, calibration information, and baseline/nuisance information inside I_c or N(η_c).

If the dataset lacks these conditions, the result is not support and not failure. It is inconclusive exposure if the dossier was otherwise registered, or incomplete registration if the dossier never specified the data requirements.

This condition is central for public-data reanalysis. Existing data may permit a pilot residual analysis or a constraint, but they cannot provide decisive adjudication unless the required endpoint and uncertainty information can be reconstructed.

8.4 Detectability and Inconclusive Exposure

If the registered predicted endpoint satisfies:

T_CBR ≤ Θ_c,

then the test cannot fail the instantiation, because the predicted endpoint is not distinguishable from the registered nuisance-plus-detectability threshold.

The proper verdict is inconclusive exposure, not failure.

If T_CBR > Θ_c but the platform fails to achieve the required sensitivity, the result is also inconclusive. The model predicted something detectable in principle, but the test did not achieve the conditions required to adjudicate it.

8.5 Detectability Lock Status

Detectability can have four lock statuses.

It is registered if ε_detect, Θ_c, power requirements, uncertainty conventions, and sensitivity conditions are fixed before data interpretation.

It is incomplete if sensitivity is invoked but not quantified.

It is exploratory if thresholds or power requirements are selected after seeing the result.

It is non-adjudicative for the test if the threshold was registered but the experiment failed to achieve the required sensitivity.

Only registered and achieved detectability permits support or failure.

8.6 Transition

With the critical regime, baseline, nuisance envelope, detectability threshold, and data-adequacy conditions fixed, the dossier can now define the empirical endpoint itself: the accessibility-critical residual.

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SECTION 9. Accessibility-Critical Residual

Let:

V_obs(η) denote the observed visibility curve, and
V_ℬ(η) denote the registered baseline visibility curve selected or bounded from 𝔅.

Define the raw residual:

r(η) = V_obs(η) − V_ℬ(η).

The CBR endpoint is not r(η) everywhere. It is not any visual departure from baseline. It is not the largest deviation found after inspecting the data.

The endpoint is the registered residual structure inside the declared critical accessibility regime.

9.1 Endpoint Statistic

Let T_c denote the registered endpoint statistic computed from r(η) inside I_c or N(η_c).

For example:

T_c = sup_{η ∈ I_c} |V_obs(η) − V_ℬ(η)|

or, in normalized form,

T_c = sup_{η ∈ I_c} |V_obs(η) − V_ℬ(η)| / σ_total(η).

Other endpoint statistics may be appropriate, including integrated residuals, slope-change statistics, localized kink statistics, curvature statistics, morphology-sensitive statistics, or model-comparison statistics. The critical rule is that the primary endpoint statistic must be fixed before data interpretation.

9.2 Predicted Endpoint

Let T_CBR denote the registered predicted endpoint magnitude, structure, or morphology under the CBR instantiation.

A CBR test becomes adjudicative only when the instantiation states what endpoint it predicts and how that endpoint will be compared against Θ_c.

If T_CBR is not specified, the test is incompletely registered. It cannot receive registered support or registered failure.

9.3 Definition — Accessibility-Critical Residual

The accessibility-critical residual is the registered residual structure of V_obs(η) − V_ℬ(η), evaluated inside I_c or N(η_c), after the critical accessibility regime, baseline model class 𝔅, nuisance envelope B_𝓝(η), critical nuisance bound B_c, detectability threshold ε_detect, decision threshold Θ_c, endpoint statistic T_c, predicted endpoint T_CBR, statistical rule, data-adequacy conditions, and verdict rule have been fixed.

This residual is not realization itself.

It is not the law itself.

It is not a post hoc anomaly.

It is the measurable endpoint of the registered CBR instantiation.

9.4 Endpoint Lock Status

The accessibility-critical residual can have four statuses.

It is registered if T_c, T_CBR, Θ_c, the critical regime, baseline, nuisance envelope, statistical rule, data-adequacy requirements, and verdict logic are fixed before data interpretation.

It is incomplete if one or more of these elements is missing.

It is exploratory if the residual is defined, selected, reshaped, or reinterpreted after inspecting the data.

It is adjudicative only if all required endpoint objects are registered and the test satisfies its validity gates.

This distinction prevents the residual from being mistaken for evidence merely because it appears in the data.

9.5 Principle — Residual Adjudicability

A CBR residual test becomes adjudicative only when the critical accessibility regime, baseline model class 𝔅, nuisance envelope B_𝓝(η), critical nuisance bound B_c, detectability threshold ε_detect, decision threshold Θ_c, endpoint statistic T_c, predicted endpoint T_CBR, statistical rule, data-adequacy conditions, validity gates, and verdict rule are all fixed before data interpretation and satisfied by the test conditions.

This principle is the locking standard for the empirical endpoint.

If these elements are present and valid, the residual can support, fail, or leave the instantiation inconclusive under the registered rule.

If these elements are missing, the instantiation is incompletely registered.

If these elements are selected or revised after seeing the data, the analysis is exploratory.

If these elements were registered but the test fails to satisfy them, the exposure is inconclusive.

9.6 Endpoint Clarification

The accessibility-critical residual is the empirical endpoint, not the law.

The law is constrained selection.
The residual is the fingerprint.
The strong null is the wound.

The residual becomes scientifically meaningful only because the registered instantiation commits itself to it in advance. It becomes support only if T_c > Θ_c under valid conditions. It becomes failure only if the model predicted T_CBR > Θ_c and the observed endpoint remains inside threshold. It becomes inconclusive if the conditions needed for adjudication are not met.

9.7 Transition

The accessibility-critical residual is now defined as a locked endpoint. The next task is to state the verdict rules governing registered support, registered failure, inconclusive exposure, incomplete registration, and exploratory analysis.

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SECTION 10. Endpoint Statistic T_c

Let T_c denote the registered endpoint statistic used to evaluate the accessibility-critical residual inside the declared critical accessibility regime.

The endpoint statistic is the rule that converts the residual curve into an adjudicative object. Without a fixed endpoint statistic, the analysis remains vulnerable to post hoc selection: the data could be inspected first, and the statistic most favorable to support, failure, or non-failure could be chosen afterward.

For that reason, T_c must be registered, version-locked, and fixed before data interpretation.

A simple endpoint statistic is the supremum residual:

T_c = sup_{η ∈ I_c} |V_obs(η) − V_ℬ(η)|.

A normalized version is:

T_c = sup_{η ∈ I_c} |V_obs(η) − V_ℬ(η)| / σ_total(η),

where σ_total(η) includes registered statistical and systematic uncertainty.

Other endpoint statistics may be appropriate, depending on the registered prediction. These include an integrated residual, localized kink statistic, slope-change statistic, curvature statistic, morphology-sensitive statistic, or model-comparison statistic. No single endpoint statistic is required for all possible CBR instantiations. The requirement is that the statistic chosen for the decisive test must be fixed before data interpretation.

10.1 Endpoint Congruence

The observed endpoint statistic T_c must be congruent with the predicted endpoint T_CBR.

This means that T_c and T_CBR must be expressed in the same endpoint language. If the registered CBR prediction is a supremum residual, then T_c must measure a supremum residual. If the prediction is a localized kink, slope change, curvature feature, or morphology-sensitive structure, then T_c must encode that registered morphology.

A scalar magnitude statistic is not sufficient if the registered prediction is shape-sensitive. Conversely, a morphology-sensitive statistic cannot be introduced after seeing the residual curve in order to improve the appearance of support.

The endpoint statistic must match the registered prediction before the data are interpreted.

10.2 Primary and Secondary Endpoints

Only one primary endpoint statistic may be registered for the decisive test.

Secondary statistics may be registered for robustness checks, diagnostic analysis, or exploratory interpretation, but they cannot replace the primary endpoint after the result is known. If the primary statistic fails and a secondary statistic appears favorable, that does not rescue the registered test. It may motivate a new registered instantiation.

The locked rule is:

The decisive endpoint is the registered primary endpoint, not the most favorable statistic found after data inspection.

10.3 Endpoint Statistical Rule

The endpoint statistic must be paired with a registered statistical rule.

The dossier must specify:

the uncertainty convention,
the treatment of statistical and systematic error,
the confidence or error-control standard,
the power requirement for detecting T_CBR,
the treatment of multiple comparisons if secondary endpoints are examined,
and the condition under which T_c is considered reliably above or below Θ_c.

Without this statistical rule, the comparison between T_c, T_CBR, and Θ_c remains qualitative rather than adjudicative.

10.4 Endpoint Lock Status

The endpoint statistic can have four lock statuses.

It is registered if T_c, the statistical rule, uncertainty convention, and its relation to T_CBR and Θ_c are fixed before data interpretation.

It is incomplete if an endpoint is mentioned but not specified with enough precision to compute or compare.

It is exploratory if the statistic is chosen, reshaped, or replaced after inspecting the data.

It is non-adjudicative for the test if the statistic was registered but cannot be computed from the available data.

Only a registered and computable endpoint statistic can support or fail the registered instantiation.

10.5 Audit-Lock Clause for T_c

The endpoint statistic must be versioned as part of the locked dossier.

Any change to T_c, the endpoint morphology, the uncertainty convention, the statistical rule, or the relation between T_c, T_CBR, and Θ_c after data inspection creates a new dossier version. It cannot alter the verdict of the prior locked version.

This clause is practical rather than merely rhetorical. A locked endpoint must be traceable. The test must be able to say which version of the endpoint was active before data interpretation and which verdict attaches to that version.

10.6 Transition

With T_c defined, registered, and version-locked, the dossier can state when a residual is admissible as a CBR endpoint. A residual is not admissible merely because it appears. It must satisfy strict registration, separation, detectability, statistical, version-lock, and verdict conditions.

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SECTION 11. Residual Admissibility Conditions

A residual is CBR-admissible only if it satisfies the conditions required for a locked empirical endpoint. These conditions prevent the accessibility-critical residual from becoming an after-the-fact label for an unexplained anomaly.

A residual may be visually striking, statistically unusual, or scientifically interesting without being CBR-admissible. It becomes CBR-admissible only when it is tied to a registered instantiation and evaluated under fixed, version-locked conditions.

11.1 Registration

The residual form, critical regime, endpoint statistic T_c, predicted endpoint T_CBR, decision threshold Θ_c, statistical rule, visibility estimator, data-inclusion rule, validity gates, and verdict rule must be fixed before data interpretation.

If the residual is defined after inspecting the data, the analysis is exploratory. It may motivate a future test, but it cannot support the registered instantiation.

11.2 Localization

The residual must be evaluated inside the declared critical accessibility regime I_c or N(η_c).

A residual outside the registered regime may be scientifically interesting, but it is not the accessibility-critical residual for the locked test unless that region was specified in advance.

Localization prevents retrospective pattern selection.

11.3 Baseline Separation

The residual must not be absorbed by the registered baseline model class 𝔅 or by the baseline curve V_ℬ(η) selected or bounded from that class under registered rules.

CBR does not receive support by outperforming a weak or idealized baseline. The residual must survive the strongest ordinary standard quantum/decoherence/nuisance model class the platform can justify.

11.4 Nuisance Separation

The residual must exceed the registered nuisance allowance.

At the level of the critical regime, this requires comparison with the nuisance bound:

B_c = sup_{η ∈ I_c} B_𝓝(η),

or the corresponding registered bound for a normalized, integrated, model-comparison, or morphology-sensitive endpoint.

A residual inside the nuisance envelope is not CBR support. It is ordinary uncertainty.

11.5 Detectability and Decision Threshold

The residual must be adjudicated against the registered decision threshold:

Θ_c = B_c + ε_detect.

For registered support, the observed endpoint must satisfy:

T_c > Θ_c

under valid test conditions and must match any registered morphology.

For registered failure, the instantiation must have predicted a detectable endpoint:

T_CBR > Θ_c,

while the observed endpoint remains inside threshold:

T_c ≤ Θ_c

under valid conditions.

11.6 Data Adequacy

The dataset must contain sufficient information to compute T_c under the registered statistical rule.

At minimum, the data must provide adequate η coverage, sampling density, visibility resolution, uncertainty estimates, calibration information, baseline information, and nuisance information inside the declared critical regime.

If the data are insufficient, the result is not support or failure. It is inconclusive exposure or incomplete registration, depending on whether the inadequacy arises from test execution or from the dossier itself.

11.7 Verdict Exposure

The residual must be tied to a verdict rule.

A registered residual test must state what counts as support, failure, inconclusive exposure, incomplete registration, and exploratory analysis. If a residual cannot wound the instantiation under any condition, it is not an empirical endpoint.

11.8 Auditability

The residual must be auditable.

A dossier must identify the version of the test under which the residual is evaluated. This includes the registered versions of η, I_c, 𝔅, V_ℬ(η), B_𝓝(η), B_c, ε_detect, Θ_c, T_c, T_CBR, residual morphology, statistical rule, visibility estimator, data-inclusion rule, validity gates, and verdict rule.

A residual cannot be adjudicative if the test object cannot be reconstructed after the fact.

Proposition 1 — Residual Admissibility

A residual is admissible as a CBR empirical endpoint only if it is registered, localized, baseline-separated, nuisance-separated, detectable, data-adequate, statistically adjudicable, verdict-bearing, and audit-locked to a fixed dossier version.

Proof Sketch

If the residual is not registered, it may be post hoc.

If it is not localized, it is not the declared accessibility-critical signature.

If it is not baseline-separated, it may be ordinary standard quantum/decoherence behavior.

If it is not nuisance-separated, it may be detector drift, calibration uncertainty, sampling variation, or another ordinary platform effect.

If it is not detectable, it cannot support or defeat the registered instantiation.

If the data are inadequate, the endpoint cannot be computed under the locked rule.

If the residual is not evaluated statistically against Θ_c, the verdict remains qualitative.

If it is not tied to a support/failure/inconclusive rule, it does not expose the instantiation to adjudication.

If it is not audit-locked to a fixed dossier version, the object being tested cannot be reconstructed, and the verdict cannot be trusted as a locked result.

Therefore, only a residual satisfying all admissibility conditions can function as the empirical endpoint of a registered CBR instantiation.

11.9 Transition

The admissibility conditions define when a residual can count. The next section states what verdicts may follow once the residual is admissible.

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SECTION 12. Verdict Rules

The locked dossier restricts the outcome of a CBR residual test to disciplined verdicts. These verdicts prevent the test from being interpreted differently after the result is known.

The possible statuses are: registered support, registered failure, inconclusive exposure, incomplete registration, or exploratory analysis.

These are not interchangeable. Each has a distinct meaning.

12.1 Registered Support

A registered CBR instantiation receives support if all required validity gates are satisfied and the observed endpoint exceeds the registered decision threshold:

T_c > Θ_c.

Support also requires that the residual appear inside I_c or N(η_c), match the registered residual form or morphology where applicable, survive the registered baseline model class 𝔅, exceed the nuisance allowance B_c, exceed the detectability threshold ε_detect, and remain stable under registered controls and robustness checks.

This is support for the registered instantiation.

It is not proof that CBR is the final law of nature. It is not support for every possible CBR model. It is support for the locked failure object relative to the registered baseline, nuisance, and comparison class.

12.2 Registered Failure

A registered CBR instantiation fails if it predicted a detectable endpoint:

T_CBR > Θ_c,

the test satisfies all validity gates, and the observed endpoint satisfies:

T_c ≤ Θ_c

or fails to exhibit the registered residual morphology.

This is a strong null.

A strong null is not merely “nothing happened.” It is the absence of a predicted detectable endpoint under conditions that should have revealed it if the registered instantiation were correct.

The failure applies to the registered failure object, not to CBR in general.

12.3 Inconclusive Exposure

The result is inconclusive if the instantiation was registered but the test conditions required for support or failure are not satisfied.

Inconclusive exposure includes cases where:

η calibration is inadequate,
the empirical bridge is not validated,
the baseline model class is not validated,
the nuisance envelope is too wide or inadequately justified,
B_c cannot be computed,
ε_detect is not achieved,
Θ_c cannot be established,
sampling inside I_c is insufficient,
the visibility estimator is unstable,
the statistical rule cannot be applied,
the audit trail is incomplete,
or required controls fail.

An inconclusive result does not support CBR.

It also does not defeat the registered instantiation.

It means the test did not validly expose the model.

12.4 Incomplete Registration

The result is incomplete registration if the dossier never specified enough information for adjudication.

This includes cases where the model fails to specify:

η,
the empirical bridge,
I_c or N(η_c),
the baseline model class 𝔅,
V_ℬ(η),
B_𝓝(η),
B_c,
ε_detect,
Θ_c,
T_c,
T_CBR,
the residual morphology where applicable,
the statistical rule,
the audit/version-lock,
the validity gates,
or the verdict rule.

Incomplete registration is not a failed test. It is also not support. It means the instantiation has not yet become adjudicable.

12.5 Exploratory Analysis

The analysis is exploratory if the data are used to choose, revise, or motivate the residual, critical regime, baseline, nuisance envelope, endpoint statistic, predicted endpoint, statistical rule, or verdict rule.

Exploratory analysis can be valuable. It can identify candidate residual behavior, motivate a future registered test, or help design a numerical model.

But exploratory analysis cannot count as registered support.

12.6 Audit-Lock Status

A registered verdict must be attached to a dossier version.

The dossier must specify which version of F_CBR generated the verdict. If F_CBR changes after data interpretation, the prior verdict remains attached to the prior version. The revised dossier may be tested prospectively, but it cannot retroactively alter the earlier verdict.

This applies equally to support, failure, inconclusive exposure, incomplete registration, and exploratory analysis.

Proposition 2 — Verdict Exclusivity

A locked CBR residual test permits only disciplined statuses: registered support, registered failure, inconclusive exposure, incomplete registration, or exploratory analysis. No result may be promoted from one status to another by post hoc redefinition of the registered objects or by changing the dossier version after data interpretation.

Proof Sketch

If the endpoint exceeds Θ_c under valid registered conditions, the result is support.

If the model predicted T_CBR > Θ_c and the valid test yields T_c ≤ Θ_c, the result is failure.

If the model was registered but the test conditions fail, the result is inconclusive.

If the model did not register enough objects to be tested, the status is incomplete.

If the analysis is constructed after inspecting the data, the status is exploratory.

Because the statuses are defined by the locked dossier, they cannot be reassigned after the outcome without changing the tested object. If the tested object changes, the dossier version changes, and the prior verdict remains attached to the prior version.

12.7 Transition

The verdict rules give the locked dossier its adjudicative structure. The next rule prevents a failed registered instantiation from being rescued by altering the locked objects after the result is known.

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SECTION 13. No-Rescue Rule

The no-rescue rule is the central protection against post hoc accommodation.

After data interpretation, a registered instantiation cannot be rescued by changing any object that contributed to the prediction, endpoint, baseline, nuisance structure, detectability threshold, statistical rule, audit trail, or verdict.

This includes:

C,
𝒜(C),
≃_C,
ℛ_C,
η,
η_c,
I_c,
N(η_c),
the empirical bridge,
the baseline model class 𝔅,
V_ℬ(η),
B_𝓝(η),
B_c,
ε_detect,
Θ_c,
T_c,
T_CBR,
the registered residual morphology,
the visibility estimator,
the uncertainty convention,
the statistical rule,
the data-inclusion rule,
the validity gates,
the audit/version-lock,
or the verdict rule.

Changing any of these after a failed test creates a new model, new analysis, or new dossier version.

It does not save the failed one.

13.1 New Model, Not Rescue

The no-rescue rule does not forbid theoretical development. A failed instantiation may motivate a revised η definition, a better bridge, a stronger baseline model class, a different nuisance envelope, a different endpoint statistic, or a new platform.

But those revisions are prospective. They do not retroactively change the verdict on the registered instantiation.

The distinction is: A revised dossier may define a new test. It does not rescue the failed test.

13.2 No-Rescue for Support Claims

The no-rescue rule also applies to support.

A model cannot claim support by weakening the baseline after the fact, narrowing the nuisance envelope, moving the critical region, changing the endpoint statistic, selecting a favorable morphology after inspecting the data, or altering the statistical rule after seeing the result.

Post hoc adjustment can generate hypotheses. It cannot generate registered support.

13.3 No-Rescue for Public-Data Reanalysis

In public-data reanalysis, the no-rescue rule must be applied carefully.

If the dataset lacks η calibration, raw counts, uncertainty estimates, baseline information, or sufficient sampling in I_c, the analysis may be incomplete or exploratory. It cannot be converted into decisive support by reconstructing missing objects after the fact without declaring a new analysis.

A public dataset can constrain or motivate CBR only to the extent that the required locked objects can be reconstructed under transparent, versioned rules.

13.4 Audit-Lock Clause

A locked CBR dossier must be versioned before data interpretation.

Any change to C, 𝒜(C), ≃_C, ℛ_C, η, I_c, N(η_c), 𝔅, V_ℬ(η), B_𝓝(η), B_c, ε_detect, Θ_c, T_c, T_CBR, residual morphology, statistical rule, visibility estimator, data-inclusion rule, validity gates, or verdict rule after data inspection creates a new dossier version.

A new dossier version cannot alter the verdict of the prior locked version.

Proposition 3 — No-Rescue

A failed, unsupported, inconclusive, incomplete, or exploratory CBR analysis cannot be reclassified by changing any object in the locked dossier after the result is known. Any such change defines a new instantiation, new analysis, or new dossier version, not a rescue of the original test.

Proof Sketch

The registered verdict applies to the object fixed before data interpretation. If the objects defining that verdict are changed after the result, the object being evaluated has changed. The revised model may be meaningful, but it is not identical to the failed, unsupported, inconclusive, incomplete, or exploratory object previously evaluated.

Therefore, post hoc revision cannot alter the original verdict.

13.5 Transition

The no-rescue rule makes failure real and support disciplined. The next section limits failure to the object actually tested.

SECTION 14. Jurisdiction of Failure

Failure has an address.

A strong null defeats the registered instantiation whose commitments entailed the missing residual. It does not automatically defeat all possible CBR models, all possible realization-law candidates, or the broader question of quantum outcome realization.

The failed object is the locked failure object:

F_CBR = {C, 𝒜(C), ≃_C, ℛ_C, η, bridge, η_c/I_c/N(η_c), 𝔅, V_ℬ(η), B_𝓝(η), B_c, ε_detect, Θ_c, T_c, T_CBR, residual morphology, uncertainty convention, statistical rule, visibility estimator, data-inclusion rule, validity gates, verdict rule}.

A strong null defeats this object.

It does not automatically defeat objects not registered in it.

14.1 Local Failure

A failed instantiation fails in the domain and under the conditions it claimed to cover.

This includes the registered context, admissible class, burden functional, accessibility variable, empirical bridge, critical regime, baseline model class, nuisance envelope, endpoint statistic, predicted endpoint, statistical rule, audit-locked dossier version, and verdict condition.

Local failure is not weak failure. It is exact failure.

14.2 Broader Failure

A broader CBR class fails only if a bridge argument shows that the failed registered instantiation faithfully represented that broader class in the tested domain.

Without such a bridge argument, failure remains local.

This protects the program from two errors:

over-rescue, in which no failure ever matters,
and over-defeat, in which one failed instantiation is treated as the defeat of every possible realization-law thesis.

CBR’s failure discipline requires neither error.

14.3 Versioned Jurisdiction

The jurisdiction of failure is version-specific.

If a dossier version fails, that failure attaches to the registered object in that version. A later version may narrow, revise, or extend the model, but it does not erase the prior failure. It creates a new object with a new jurisdiction of possible support or failure.

Thus:

A failed version remains failed.
A revised version must be tested prospectively.

Corollary — Failure Has an Address

A strong null defeats the registered failure object F_CBR whose fixed commitments entailed the missing residual. It does not automatically defeat every possible realization-law thesis unless additional bridge arguments show that F_CBR exhausts the broader class in the tested domain.

Proof Sketch

The strong-null verdict is generated by a specific registered object. The prediction that failed came from the commitments in that object. Therefore, the failure attaches to those commitments.

If another instantiation uses a different context, admissible class, bridge, baseline model class, critical regime, nuisance structure, endpoint statistic, statistical rule, or predicted morphology, it has not been defeated by the original strong null unless the failed object is shown to represent it.

Therefore, failure is exact: neither meaningless nor unlimited.

14.4 Transition

The jurisdiction principle defines what a failed locked test can and cannot defeat. The final section explains how this locked protocol may be used with existing public data without overstating what such data can adjudicate.

SECTION 15. Locked Reanalysis Use

This protocol may be applied to existing quantum eraser, wave-particle duality, delayed-choice, or interferometric data, but only with strict limits.

Existing experiments were usually not designed as CBR tests. They may not contain the required η calibration, raw counts, visibility estimates, uncertainty budgets, baseline model information, nuisance estimates, or dense sampling inside a declared critical accessibility regime.

For that reason, public-data reanalysis should be treated as a constrained use case, not as an automatic decisive test.

15.1 Permissible Uses of Existing Data

Existing data may be used to produce:

a pilot residual estimate,
a constraint on possible CBR residuals,
a test-design study,
a feasibility analysis for η calibration,
a baseline-model comparison,
a nuisance-bound estimate,
or an inconclusive exposure result.

These uses can be scientifically valuable. They can show what future experiments must measure, what data are missing, how η might be operationalized, or how large a residual would need to be for adjudication.

15.2 Conditions for Decisive Reanalysis

A reanalysis should not be described as a decisive CBR test unless the dataset contains enough information to reconstruct or justify:

η,
η calibration uncertainty,
I_c or N(η_c),
V_obs(η),
the visibility estimator,
the baseline model class 𝔅,
V_ℬ(η),
B_𝓝(η),
B_c,
ε_detect,
Θ_c,
T_c,
T_CBR,
residual morphology where applicable,
the statistical rule,
validity gates,
the audit/version-lock,
and the verdict rule.

If these cannot be reconstructed under transparent and pre-declared rules, the dataset is useful for pilot analysis or test design, but not for decisive adjudication.

15.3 Status of Public-Data Results

A public-data reanalysis may have one of five statuses.

It is registered only if the reanalysis dossier is fixed before the data are interpreted for CBR and all necessary objects can be reconstructed.

It is incomplete if essential objects, such as η calibration or nuisance bounds, cannot be reconstructed.

It is exploratory if the dataset is used to discover or tune the residual structure.

It is inconclusive if the test object is registered but the dataset lacks the sensitivity, sampling, or uncertainty structure required for adjudication.

It is failed only if a complete registered dossier predicts T_CBR > Θ_c, the public data are adequate to compute T_c, all validity gates are satisfied, and the observed endpoint satisfies T_c ≤ Θ_c.

Public-data reanalysis should not be promoted beyond its status.

15.4 Reanalysis Versioning

Any public-data reanalysis must identify the dossier version under which the data are interpreted.

If a missing η proxy, baseline model, nuisance envelope, endpoint statistic, or statistical rule is reconstructed after inspecting the data, the analysis is exploratory unless that reconstruction is explicitly declared as a new prospective dossier version and tested on independent or held-out data.

This prevents public data from being used twice: first to design the model and then to confirm the same model.

15.5 Proper Reanalysis Claim

If the necessary objects cannot be reconstructed, the paper should state:

The dataset is useful for CBR test design, pilot residual estimation, or constraint-setting, but not sufficient for decisive CBR adjudication.

This is not a weak conclusion. It is a scientifically valuable result because it identifies what future experiments must report for CBR to become adjudicable.

15.6 Transition

The locked-dossier protocol can therefore use public data responsibly, but only by preserving the distinction between pilot analysis, incomplete registration, exploratory reconstruction, inconclusive exposure, registered support, and registered failure.

SECTION 16. Locked Dossier Template

Before any analysis is interpreted as a CBR test, the locked dossier must be completed. The purpose of the dossier is not administrative. It defines the tested object, the empirical endpoint, the decision rule, the validity conditions, and the scope of any support or failure.

If the required objects are not specified before data interpretation, the instantiation is not yet adjudicative. It may be conceptually meaningful, useful for test design, or suitable for exploratory modeling, but it is not exposed to registered support or registered failure.

The object fixed by the dossier is the registered failure object:

F_CBR = {C, 𝒜(C), ≃_C, ℛ_C, η, bridge, η_c/I_c/N(η_c), 𝔅, V_ℬ(η), B_𝓝(η), B_c, ε_detect, Θ_c, T_c, T_CBR, residual morphology, uncertainty convention, statistical rule, visibility estimator, data-inclusion rule, validity gates, verdict rule}.

This is the object tested by the locked protocol.

A strong null defeats F_CBR, not CBR in general. A positive residual supports F_CBR relative to the registered baseline model class, nuisance envelope, and decision rule. An incomplete dossier does not expose the instantiation to support or failure.

16.1 Dossier Identification and Audit Lock

Dossier title:
[Specify the title of the registered test.]

Dossier version:
[Specify version number.]

Registration date:
[Specify date before data interpretation.]

Registration status:
[Registered / incomplete / exploratory.]

Data status:
[New data / public reanalysis / held-out data / simulation-only / test-design only.]

Audit-lock rule:
[Any change to F_CBR after data inspection creates a new dossier version and cannot alter the verdict of the prior locked version.]

This section is mandatory. A locked dossier must be traceable. If the version of the tested object cannot be identified, the verdict cannot be treated as registered.

16.2 Context Registry

C — measurement context:
[Specify the physical platform and measurement context.]

Platform:
[Specify interferometer, delayed-choice arrangement, quantum eraser setup, wave-particle duality dataset, or other context.]

Measurement basis:
[Specify basis.]

Record structure:
[Specify how outcome-defining records are represented.]

Accessibility-control mechanism:
[Specify how η is varied.]

Visibility-estimation procedure:
[Specify how V_obs(η) is estimated.]

Data-inclusion rule:
[Specify which data are included or excluded.]

Validity gates:
[Specify calibration, stability, sampling, control, and exclusion conditions.]

No change to C, the measurement basis, accessibility-control mechanism, visibility estimator, data-inclusion rule, or validity gates after data inspection may rescue or alter the registered verdict.

16.3 Law-Form Registry

𝒜(C) — admissible candidate class:
[Specify the admissible realization-compatible candidate class.]

≃_C — operational equivalence:
[Specify which candidate distinctions are operationally equivalent within C.]

ℛ_C — realization-burden functional or registered burden proxy:
[Specify the context-fixed burden functional or the registered proxy used for the test.]

Canonical selection form:
Φ∗C ∈ argmin{Φ ∈ 𝒜(C)} ℛ_C(Φ), up to ≃_C.

Law-form lock status:
[Formally registered / incomplete / exploratory.]

This registry fixes the law-form. It does not by itself make the test empirical. Empirical adjudication also requires the accessibility bridge, critical regime, baseline model class, nuisance envelope, detectability threshold, endpoint statistic, predicted endpoint, statistical rule, and verdict logic.

16.4 Accessibility Registry

η definition:
[Specify the operational record-accessibility variable.]

η calibration method:
[Specify how η is measured, computed, estimated, or bounded.]

η uncertainty:
[Specify uncertainty in η.]

η range:
[Specify range.]

η_c:
[Specify critical value, if applicable.]

I_c:
[Specify critical interval, if applicable.]

N(η_c):
[Specify critical neighborhood, if applicable.]

Justification for critical regime:
[Explain why this regime is selected before data interpretation.]

Sampling requirement inside I_c or N(η_c):
[Specify η coverage, sampling density, and resolution requirements.]

η lock status:
[Registered / incomplete / exploratory / non-adjudicative for this test.]

η is not consciousness, subjective awareness, or human observation. It is an operational measure of accessible outcome-defining record information.

16.5 Empirical Bridge Registry

Bridge from η to ℛ_C:
[Specify how record-accessibility enters the realization-burden functional or registered burden proxy.]

Bridge from η to V_obs(η):
[Specify how variation in η maps into the observable visibility endpoint.]

Bridge adequacy condition:
[Specify what must hold for the bridge to be valid.]

Bridge failure condition:
[Specify when bridge failure makes exposure inconclusive.]

Without a registered bridge, η remains descriptive rather than adjudicative. The instantiation may be conceptually meaningful, but it is not yet exposed through the visibility endpoint.

16.6 Baseline Registry

𝔅 — baseline model class:
[Specify the registered standard quantum/decoherence/nuisance model class.]

Baseline-class guardrail:
[Explain why 𝔅 is broad enough to include legitimate ordinary explanations but not so broad that it can absorb any possible residual by construction.]

V_ℬ(η):
[Specify the baseline visibility curve selected, fitted, or bounded from 𝔅.]

Included ordinary effects:
[List standard quantum prediction, decoherence, detector inefficiency, dark counts, phase drift, calibration uncertainty, finite sampling, environmental noise, alignment uncertainty, visibility-estimator uncertainty, and other relevant effects.]

Excluded ordinary effects and justification:
[Specify any excluded effects and justify exclusion before data interpretation.]

Baseline fitting or selection rule:
[Specify how V_ℬ(η) is selected from 𝔅.]

Baseline validation method:
[Specify how baseline adequacy is checked.]

Baseline absorption rule:
[Specify when a candidate residual is considered absorbable by 𝔅.]

Baseline anti-overfitting rule:
[State that 𝔅 may not be refit, expanded, re-parameterized, or reinterpreted after inspecting the residual curve in a way that changes the registered verdict.]

A weak baseline creates false support. An elastic baseline prevents failure. A valid baseline class must therefore be strong, registered, and non-adaptive after data interpretation.

16.7 Nuisance Registry

B_𝓝(η):
[Specify nuisance envelope.]

Sources included:
[List detector noise, calibration uncertainty, finite sampling, decoherence-model uncertainty, phase instability, background counts, alignment errors, estimator uncertainty, and other platform-specific sources.]

Uncertainty model:
[Specify σ_total(η) or equivalent.]

B_c:
[Specify critical-regime nuisance bound.]

A standard form is:

B_c = sup_{η ∈ I_c} B_𝓝(η).

For normalized, integrated, model-comparison, or morphology-sensitive endpoints, define B_c in the corresponding registered units.

Nuisance absorption rule:
[Specify when a residual is considered absorbed by nuisance.]

Nuisance anti-rescue rule:
[State that B_𝓝(η) and B_c may not be widened after seeing the residual in order to change the verdict.]

16.8 Detectability Registry

ε_detect:
[Specify detectability threshold.]

Method for computing ε_detect:
[Specify sensitivity calculation, uncertainty convention, and platform-specific basis.]

Decision threshold Θ_c:
Θ_c = B_c + ε_detect.

Power requirement:
[Specify power requirement for detecting T_CBR.]

Confidence or error-control standard:
[Specify statistical standard.]

Sampling requirement:
[Specify required η sampling, visibility resolution, and data density.]

Detectability failure condition:
[Specify when insufficient sensitivity makes the test inconclusive.]

A strong null is possible only if the registered predicted endpoint is detectable.

16.9 Endpoint Registry

Primary endpoint statistic T_c:
[Specify one primary statistic.]

Endpoint formula:
[Specify formula.]

Examples include:

T_c = sup_{η ∈ I_c} |V_obs(η) − V_ℬ(η)|

or

T_c = sup_{η ∈ I_c} |V_obs(η) − V_ℬ(η)| / σ_total(η).

T_CBR:
[Specify predicted endpoint magnitude, structure, or morphology.]

Endpoint congruence:
[Explain why T_c matches T_CBR in endpoint language.]

Residual morphology:
[Specify localized deviation, kink, slope change, curvature feature, bounded non-baseline structure, or state none.]

Secondary endpoints:
[Specify exploratory or robustness endpoints, if any.]

Primary endpoint rule:
[Only the registered primary endpoint controls the decisive verdict.]

If T_CBR is not specified, the instantiation is incompletely registered.

16.10 Statistical Registry

Statistical rule:
[Specify uncertainty convention, statistical test, confidence standard, or error-control rule.]

Treatment of statistical uncertainty:
[Specify.]

Treatment of systematic uncertainty:
[Specify.]

Treatment of multiple comparisons:
[Specify if secondary endpoints exist.]

Power analysis:
[Specify how the test is powered to detect T_CBR.]

Condition for T_c > Θ_c:
[Specify how exceedance is determined.]

Condition for T_c ≤ Θ_c:
[Specify how non-exceedance is determined.]

Without a statistical rule, the relation among T_c, T_CBR, and Θ_c remains qualitative rather than adjudicative.

16.11 Data-Adequacy Registry

η coverage:
[Specify.]

Sampling density inside I_c or N(η_c):
[Specify.]

Visibility resolution:
[Specify.]

Raw counts or visibility estimates:
[Specify availability.]

Calibration information:
[Specify.]

Baseline information:
[Specify.]

Nuisance information:
[Specify.]

Uncertainty budget:
[Specify.]

Data-adequacy verdict:
[Adjudicative / inconclusive / incomplete / exploratory.]

If the dataset lacks the information required to compute T_c under the registered rule, the result cannot be registered support or registered failure.

16.12 Verdict Registry

Registered support rule:
[Define support.]

At minimum:

T_c > Θ_c under valid conditions, with registered morphology satisfied where applicable.

Registered failure rule:
[Define failure.]

At minimum:

T_CBR > Θ_c and T_c ≤ Θ_c under valid conditions, or registered morphology absent when it should have been detectable.

Inconclusive exposure rule:
[Define inconclusive exposure.]

Incomplete registration rule:
[Define incomplete registration.]

Exploratory analysis rule:
[Define exploratory status.]

No-rescue rule:
[Specify objects that cannot be changed after data interpretation.]

Jurisdiction rule:
[Specify scope of any support or failure.]

16.13 Final Lock Statement

Before data interpretation, the dossier must state:

This dossier version fixes F_CBR. Any change to C, 𝒜(C), ≃_C, ℛ_C, η, bridge, η_c/I_c/N(η_c), 𝔅, V_ℬ(η), B_𝓝(η), B_c, ε_detect, Θ_c, T_c, T_CBR, residual morphology, uncertainty convention, statistical rule, visibility estimator, data-inclusion rule, validity gates, or verdict rule after data inspection creates a new dossier version and cannot alter the verdict of this version.

This final lock statement is the practical enforcement of the no-rescue rule.

SECTION 17. Main Theorem

Theorem — Locked Empirical Endpoint for CBR

For a registered CBR instantiation whose locked failure object F_CBR is complete, audit-locked, and fixed before data interpretation, and in which record-accessibility η enters the realization-burden functional ℛ_C nontrivially through a registered empirical bridge, the empirical endpoint is not direct observation of realization but the accessibility-critical residual: the pre-registered residual structure of V_obs(η) from V_ℬ(η), evaluated inside the declared critical accessibility regime I_c or N(η_c), under the registered baseline model class 𝔅, nuisance envelope B_𝓝(η), decision threshold Θ_c, endpoint statistic T_c, predicted endpoint T_CBR, statistical rule, and validity gates.

If the observed endpoint satisfies T_c > Θ_c under valid conditions, matches the registered residual morphology where applicable, survives the baseline model class and nuisance envelope, and passes the dossier’s validity gates, the registered instantiation receives support.

If the registered instantiation predicts a detectable endpoint satisfying T_CBR > Θ_c, and a valid test yields T_c ≤ Θ_c or fails to exhibit the registered morphology, the locked failure object F_CBR fails in the domain and under the conditions it claimed to cover.

If calibration, bridge adequacy, baseline validation, nuisance control, detectability, sampling, statistical adjudication, endpoint computation, auditability, or data adequacy is insufficient, the exposure is inconclusive.

If the dossier has not specified enough of F_CBR to compute and adjudicate the endpoint, the status is incomplete registration.

If the residual, endpoint, baseline, nuisance envelope, critical regime, or verdict rule is selected after data inspection, the status is exploratory analysis rather than registered adjudication.

17.1 Proof Sketch

CBR represents realization as constrained selection within a fixed measurement context:

Φ∗C ∈ argmin{Φ ∈ 𝒜(C)} ℛ_C(Φ), up to ≃_C.

This law-form concerns realization, but realization itself is not directly observed. Empirical exposure therefore requires a bridge from the law-form to an operational observable.

In the locked-dossier protocol, the bridge is supplied by the registered relation among η, ℛ_C, and V_obs(η). The observable endpoint is the accessibility-critical residual:

r(η) = V_obs(η) − V_ℬ(η),

evaluated inside the declared critical regime.

The baseline model class 𝔅 and baseline curve V_ℬ(η) define what ordinary quantum/decoherence/nuisance physics predicts. The nuisance envelope B_𝓝(η) and critical nuisance bound B_c define what ordinary deviations can absorb. The detectability threshold ε_detect defines the minimum additional separation required for adjudication. Together they determine:

Θ_c = B_c + ε_detect.

The endpoint statistic T_c evaluates the observed residual. The predicted endpoint T_CBR states what the registered instantiation expects. The statistical rule determines whether the relation among T_c, T_CBR, and Θ_c is adjudicative.

If T_c > Θ_c under valid conditions, and the observed residual matches the registered endpoint form or morphology, the result supports the registered instantiation relative to the locked baseline and nuisance class.

If T_CBR > Θ_c but T_c ≤ Θ_c under valid conditions, then the predicted endpoint is absent despite sufficient sensitivity. The registered commitments are false in the tested domain, so F_CBR fails.

If the required conditions for adjudication are not met, the result is inconclusive. If the required objects were never registered, the dossier is incomplete. If the analysis was constructed after inspecting the data, it is exploratory.

Therefore, the accessibility-critical residual is the locked empirical endpoint of a registered CBR instantiation, and the dossier’s verdict follows from the registered relation among T_CBR, T_c, and Θ_c.

17.2 Corollary — Locked Exposure

A CBR instantiation is empirically exposed only to the extent that F_CBR is complete, fixed before data interpretation, audit-locked, and capable of generating support, failure, inconclusive exposure, incomplete-registration status, or exploratory status under registered rules.

Proof Sketch

If F_CBR is complete and fixed, the instantiation can be adjudicated. If essential elements are missing, the instantiation is incomplete. If the objects are selected after data inspection, the analysis is exploratory. If the test conditions fail despite registration, the result is inconclusive. Therefore, empirical exposure is identical to locked adjudicability.

17.3 Corollary — No Direct-Observation Requirement

A realization-law instantiation need not make realization directly observable in order to be empirically tested. It must instead register an operational endpoint whose support, failure, or non-adjudication can be determined under fixed conditions.

Proof Sketch

Realization is the law-level target. The accessibility-critical residual is the operational endpoint. The endpoint does not replace realization; it exposes the registered instantiation through a measurable consequence. Therefore, the absence of direct observation of realization does not by itself block empirical adjudication.

SECTION 18. Conclusion

CBR does not become empirical by claiming to directly observe realization.

It becomes empirical when a specific realization-law instantiation registers a complete failure object F_CBR and commits itself to a measurable operational endpoint.

That endpoint is the accessibility-critical residual.

The law is constrained selection.
The residual is the fingerprint.
The strong null is the wound.

A locked CBR test therefore asks a disciplined question: When record-accessibility η is varied across a declared critical regime, does the observed visibility curve V_obs(η) leave a registered residual from V_ℬ(η) that ordinary quantum/decoherence/nuisance physics cannot absorb under the fixed decision rule Θ_c = B_c + ε_detect?

If the observed endpoint satisfies T_c > Θ_c under valid conditions, and matches the registered residual morphology where applicable, the registered instantiation receives support.

If the model predicted T_CBR > Θ_c, and the valid test yields T_c ≤ Θ_c or fails to exhibit the registered morphology, the registered failure object fails.

If the data, calibration, bridge, baseline, nuisance, detectability, sampling, statistical rule, auditability, or validity gates are inadequate, the result is inconclusive.

If the dossier never specified enough of F_CBR to adjudicate the endpoint, the status is incomplete registration.

If the analysis is constructed after inspecting the data, the status is exploratory.

This locked-dossier standard does not prove CBR. It does not claim direct observation of realization. It does not turn any residual into law-level evidence. It does not allow a failed model to be rescued by post hoc revision.

Its purpose is narrower and stronger: to define the locked empirical conditions under which a registered CBR instantiation becomes testable, supportable, defeatable, inconclusive, incomplete, or exploratory.

That is what turns the accessibility-critical residual from a possible signature into an adjudicative endpoint.