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Shadow Theory

Verification and dependency summary

Verification has a declared scope.

Verification has a declared scope. The mathematical arguments are supported by finite executions whose inputs, counts and dependencies are specified here. Computational checks establish the stated finite properties; they do not test an awareness attribution, human insight or philosophical premises. The complete record separates inherited foundations, newly checked transactions and the physical and experiential assumptions still requiring independent assessment.

Download the executable finite-check supplement. It contains the thirteen self-contained mathematical checks and their execution records. The written proofs and the declared scope below remain essential to interpreting those results.

B Verification and dependency summary

B.1 What carries the conclusions

ConclusionCarrying premisesStatus
No separately constituted personal authorShared constitution of the individual, capacities and activityConceptual consequence of the hypothesis
No ultimate self-authorizationInheritance requirement and well-founded authorizationInherited formal obstruction; philosophical premises
No token-distinct initiating addition in a regimeToken-causal constitutionAdditional philosophical premise; not implied by common ground
Adequate realized contrasts within a budgetComplete intervention-law conformance and bounded scoresStandard TV consequence, new application
Insufficient self-description cannot identify a targetIndependently nominated target varying within a readout fibreInherited descent/completion theorem, new application
Acquired self-mechanism predictionStable declared generator family and actual noiseless probesNew finite construction and proof
Selective diagnosis advantageSpecified rules, closed audit grammar, source-blind comparator, actual common costsNew exact worked value comparison
Noisy advantage and maintenance lawClass-conditional task law; selected-benefit stability; conditional independent errors; declared maintenance eventsNew applications; unvalidated error/event premises
Local finite transactionReady records, specified local gates, paid ingress, controller, finite holding and deadlinesExact compiled map; conditional apparatus contract
Conscious perspective and continuityCertified native realization and actual A0-A3 lawsInherited conditional constitution; empirical adequacy open
Freedom through recognition in peopleIndependent semantic, evaluative, causal and psychological correspondencesPhilosophical proposal and discriminating hypotheses

Common-ground participation is an explanatory interpretation, not a new operational exclusion theorem. The self-description radius and target-completion applications are conditional consequences of inherited mathematics. Report/read/commit/monitor contrasts are discriminating predictions within the nominated model; whether human interventions instantiate them is empirical. Functional realization alone is compatible with several ontological interpretations.

B.2 Preserved transaction executions

All new finite checks use Python’s standard library and exact rational arithmetic; the local quantum circuit uses exact Gaussian-rational sparse amplitudes. The package contains code and emitted JSON. The checks supplement the written proofs and do not test metaphysical, semantic, psychological or consciousness premises.

ExecutableActual checked scope
check_recognition.pyprediction cases; 256 policy cases; 20 risk cases including q≤1/2q\leq1/2; ten diagnostic arm values; eight raw reversible commit states; 165 value-of-diagnosis cases; four stationary examples. All assertions passed.
check_noisy_``recognition.pyTen paired-noise checks; 72 symmetric-value cases; two failing restricted-model classes; 32 fresh predictions after expanded-family identification; three open common-carrier rows. Exact advantages 1/161/16 and 1/2561/256 reproduced.
check_local_``recognition.py,024 Boolean transactions; 1,024 exact full quantum routes; 1,024 exact post-audit ingress routes; eight Toffoli matrix columns; 8,466 generic routing cases. Counts 31 bank bits, 55 logical gates, 147 expanded operations, 1,839 routed plus 35 ingress windows. All assertions passed.

The publication-candidate reproduction also reruns the selected first-draft scripts for the calibration frontier, quotient enumeration, noisy-majority values, public-agency arithmetic and finite countermodels. Their emitted JSON is compared with the preserved baseline. The old countermodel script includes floating-point information metrics; this does not change the exact arithmetic of the current recognition and history constructions. These selected reruns do not certify every inherited result or execution. The appendix retains the foundation proofs used here.

B.3 New history and spacetime executions

ExecutableActual checked scope
check_relativistic_``arguments.py,500 interval, inverse-boost and causal-past covariance checks each; 480 future and 480 past timelike-order checks; 625 spacelike-bridge pairs; 15,625 causal triples; exact Rietdijk coordinates and proper times 8,108,10.
check_history_``control.pyAll sixteen raw four-bit states, bijectivity of four complete slice maps, all four admitted ready preparations, two fixed-record command contrasts and dirty-target counterexamples.
check_global_``constraints.py,877 finite maps checked against image/surjectivity counts and inclusion-exclusion; unary/pairwise/joint countermodels and finite pruning checks. It does not computationally prove the infinite compactness proposition.
check_history_``recognition.pyAll 64 complete paths and accessible partitions; exact mechanism, target and action prediction accuracies; 5/85/8 versus 3/43/4 under the newly declared conditioning; reversible memory counterexample and exact one-bit joint entropy.
check_forecast_``contracts.pyAll four binary response policies; disclosed opposition and hidden correct forecasts; 101 rational probability messages; sixteen recognition-generator cases, including behavioral forecasts made obsolete by revision.
check_causal_``order.pypreparations in two linear extensions, giving 1,024 full 84-bit executions and reversals; event-labeled physical records; 2,080 raw local inverse cases; finite Minkowski event boxes and shared-support counterexample.
check_trace_``contract.pyEight state/input transition pairs, eight idle prefixes, 62 finite probe runs and the differing native SCC decompositions; no A1 certification claimed.

The actual runner and JSON report specify interpreter, execution time, script hashes and successful baseline comparisons. The current pass additionally checks 1,360 finite data/future/target-map cases, four exact conditioning models, and an independent reconstruction of the actual compiled word: 717 windows before ingress, 35 for ingress, and 1,122 after ingress. The general selected-benefit formula is checked against direct joint enumeration, including a correlation counterexample in which the noisy advantage becomes −7/128-7/128. A stationary coupling check gives accuracy 31/4431/44 under the selector-conditional task law and 29/4429/44 when that condition fails, with the same selector distribution. Mathematical proofs supply the general claims; enumeration checks finite instances. No simulation tests the truth of common ground, an awareness attribution, human insight or a phenomenal temporal flow.

B.4 Dependencies of the expanded synthesis

ConclusionCarrying premise or proofClassification
No frame-independent inertial simultaneityMinkowski metric and Lorentz transformations for spacelike separationsEstablished special-relativistic geometry
Global common actuality from simultaneity closureUnrestricted Minkowski domain; ontic closure under all eligible distant presentsConditional geometric consequence with philosophical bridge
Vacuum development uniquenessSmooth constraint-satisfying complete data; globally hyperbolic class; isometry quotientAttributed established physical mathematics
Same-prior-data action exclusionFuture-target constancy on complete prior-data fibres, implied by forward uniquenessProved conditional result
Full history differs from current accessDeclared source/readout maps; target-varying record fibresInherited theorem applied to histories
Acquired understanding within a complete pathFixed finite source family; actual probe, assessment and ingress chronologyNew exact worked connection
Record consistency across causal orderingsCorrect dependencies and disjoint supports for incomparable eventsStandard proof, new application
Memory asymmetry in the examplesReady boundary, retained carriers and available read pathsExact finite construction; wider physical explanation conditional
Local experiential presentRealization and A0-A3 plus additional psychophysical and empirical correspondencesProposed experiential correspondence
No dependent irreducible settlement in every blockNot established by geometry, completeness or constitution aloneOpen exclusion obligation

The bibliography and source-engagement record identify the supplied editions, duplicate Schaffer files and consulted author preprints. Current source checks are recorded separately from the inherited complete-corpus coverage. Hoefer’s original-text locators refer to his fully inspected 2001 author preprint. The maximal-development result is used through Sbierski’s inspected primary reconstruction, without claiming that the original 1969 article was recovered. No unavailable text is represented as read.

Published source: Constituted Agency. Read the original PDF alongside the web treatment.