D2/R1 stands for Paper D2 / Reconstruction Module 1, with R meaning Reconstruction. This public working paper introduces a finite fixed-law Z2 lattice-gauge toy lab for access-limited record-reconstruction diagnostics. The goal is not to infer physics from a reduced model, but to make a record-reconstruction diagnostic explicit, reproducible, quotient-aware, and failure-capable in a declared finite law. For each protocol, the companion artifact specifies a finite record map, target map, quotient convention, exact inverse-bucket diagnostic decoder, and failure convention, and then exhaustively reports whether the declared finite-toy target is singleton-reconstructible or fails explicitly as no_record, underdetermined, aliasing, quotient_fail, or wrong. In the declared 2x3 torus, plaquette-only records leave four compatible orbit-label targets per record bucket; adding the two declared global closed-loop values makes the inverse target buckets singleton under the declared protocol; dropping one global loop restores ambiguity. The same finite rank/bucket diagnostic pattern is observed at a second declared finite size, the 3x3 torus. These are fixed-law finite-toy diagnostics only. The paper does not define a probability measure, Born rule, no-signaling law, actualization rule, physical selector, quantum-gravity model, or experimental prediction.
D2/R1 stands for Paper D2 / Reconstruction Module 1, with R meaning Reconstruction. This public working paper introduces a finite fixed-law Z2 lattice-gauge toy lab for access-limited record-reconstruction diagnostics. The goal is not to infer physics from a reduced model, but to make a record-reconstruction diagnostic explicit, reproducible, quotient-aware, and failure-capable in a declared finite law. For each protocol, the companion artifact specifies a finite record map, target map, quotient convention, exact inverse-bucket diagnostic decoder, and failure convention, and then exhaustively reports whether the declared finite-toy target is singleton-reconstructible or fails explicitly as no_record, underdetermined, aliasing, quotient_fail, or wrong. In the declared 2x3 torus, plaquette-only records leave four compatible orbit-label targets per record bucket; adding the two declared global closed-loop values makes the inverse target buckets singleton under the declared protocol; dropping one global loop restores ambiguity. The same finite rank/bucket diagnostic pattern is observed at a second declared finite size, the 3x3 torus. These are fixed-law finite-toy diagnostics only. The paper does not define a probability measure, Born rule, no-signaling law, actualization rule, physical selector, quantum-gravity model, or experimental prediction.
Paper D1 is an operational response to a no-inference guardrail in reduced-history toy models: structured rarity in a reduced or coarse representation does not by itself justify a physical selector claim. D1 treats access maps, readout projections, clocks, basins, decoders, and error tolerances as declared protocol data and reports only sampled-time lower bounds on recoverable records within those protocols. The associated computational artifact, D1 v0.5c, implements a finite classical occupation-Markov benchmark comparing spinless fermions, hard-core bosons, and soft-core boson controls at the level of classical occupation configurations. The first small diagnostic scans show that recoverable-record lower bounds vary across declared access, clock-normalization, record-window, and error-tolerance protocols. These observations support the benchmark infrastructure. They do not establish a physical selector, a Born-rule derivation, a matter-species ranking, emergent spacetime, gravity, or an experimental prediction.This is a Zenodo working-paper version for the D-line of the Complete-History / Record-Capability programme. It is not a physical result paper, not a selector theory, and not an experimental prediction. The associated computational artifact remains D1 v0.5c; this record introduces no new computational scan beyond that artifact.
B3/L0 is a pre-positive declaration ledger for later candidate probability, weight, amplitude, quantum-measure, boundary-conditioned, and operational layers in the Record-Reconstruction Closure Framework (RRCF) / Complete-History Guardrail project. It is positioned after the public guardrail chain A -> D1 -> B1 -> C0 -> S0 -> B2 -> D2/R1. B2 froze the probability-gap result that an admissibility or record-reconstruction passing class does not determine, justify, or supply a probability measure. D2/R1 then demonstrated, in a finite fixed-law Z2 lattice-gauge toy lab, that declared record maps, targets, quotient conventions, exact inverse-bucket decoders, and explicit failure semantics can make record-reconstruction diagnostics reproducible, quotient-aware, and failure-capable. D2/R1 finite counts and statuses are finite enumeration diagnostics only; they are not probabilities, frequencies, typicalities, sector weights, physical weights, empirical predictions, or evidence for real gauge theory, QFT, quantum gravity, or continuum physics. B3/L0 does not attempt to construct a positive B3 law. Its purpose is to define the declaration slots and gate structure that any later positive B3 candidate must satisfy before making probability, amplitude, operational, Born, Bell/no-signaling, actualization, or prediction claims. All displayed measures, weights, amplitudes, kernels, Born expressions, no-signaling equations, and example ansaetze are declaration slots, examples, or gate targets unless explicitly identified as standard-physics comparison formulas; none is asserted as an RRCF law. Whole-architecture status: RRCF / Complete-History is presently an audit framework and pre-theory research programme for typed record-reconstruction and closure diagnostics. It is not, in this document, a completed physical theory or an empirically confirmed ontology. Archiving or assigning a DOI to this ledger fixes a citable version of the declaration requirements; it does not certify truth, empirical adequacy, theoretical fruitfulness, community acceptance, or validation of RRCF / Complete-History Selection.
This short note records the public scope, non-claims, and technical gatekeeping structure for a narrowed research programme around reduced-history constraint-rarity. It is intended as a cautious companion note to the finite-dimensional Paper A working draft, not as an independent foundations theory or physical-implications paper. The note explains why the current externally defensible technical core is limited to finite-dimensional reduced-history constraint-rarity and the associated no-inference discipline. It also records that broader modules concerning history weighting, measurement and record bookkeeping, recoverability, and future record-capacity tests remain internal diagnostic workstreams unless and until they produce concrete calculations, theorems, compatibility results, or explicit failure modes. The note explicitly does not claim a physical selector, a Born-rule derivation, a solution of the measurement problem, a no-signaling theorem from whole-history language, a derivation of Pauli structure, a reinterpretation of QCD, a cosmological relic explanation, a black-hole viability principle, or a completed closure loop. Its purpose is claim control: to make clear how the current narrow mathematical working draft relates to earlier broader priority and roadmap records, and to state what kinds of future technical gates would be required before any broader physical interpretation could become public-facing.This note is a short public claim-control and roadmap companion to Paper A. It is not a physical-implications paper and should not be read as a complete foundations theory.
A Kernel-Role Determinacy Theorem for Record Fixation, Fixed-Domain Quotients, and Boundary-Trace Normal Form This paper specializes the AASC kernel to the construction and use of quantum measurement records. Its central question is not initially how outcomes are produced, whether a wavefunction collapses, or which interpretation of quantum theory is correct. It asks what must be fixed for a measurement record to function as the same determinate physical and evidential object across retention, prospective use, deliberation, comparison, and report. For any non-degenerate determinate physical object, state, carrier, transformation, record, comparison, or endpoint, the paper takes the governing kernel to be: NDObj(x) ⇒ K(x) = (Adm, Stand, Ref, Irr). Admissibility, standing, reference, and irreversibility are therefore treated as necessary role conditions of determinate record use, not as an optional interpretive overlay added to an otherwise complete physical description. Measurement-record determinacy The manuscript constructs a fixed-domain measurement-record target in which a record must preserve: reference to the same construction token; standing-bearing evidential eligibility; admissible reuse; original act-time qualification; lawful redescription; retained and prospective record use; deliberative and comparative use; reportability and downstream inheritance. The resulting assignment space is quotiented by equivalence of standing-bearing measurement-record content. A rival quotient claiming exactly the same content collapses to the canonical measurement-record quotient. Representational differences that preserve the complete role content are treated as skin; differences affecting record identity, evidential ordering, admissibility, continuation, or downstream use remain physically relevant. Physically non-selective quantum regimes The paper then studies a physically non-selective quantum regime containing unitary branching, entanglement, decoherence, branch-local records, and stable local reports. The central result is conditional and target-specific: The bare unitary-entangling-decohering package can support multiple stable branch-local records without supplying a unique standing evidential record for the fixed construction-relative target. This is not a claim that branch-local records are unreal, unstable, or physically useless. It is a distinction between: physical occurrence of branch-local record structures; local branch-relative reportability; evidential role fixation for a record reused as the same standing object across the measurement practice. The paper shows that non-selective structures may agree on branch weights, density content, decoherence, correlations, instrument sums, channel closure, effect weights, projector orthogonality, and repeatability without selecting one fine record as the standing evidential record. Fixed-domain quotient and fixation commutation The theorem ladder establishes: fixed-domain assignment-space forcing; exact quotient construction for standing-bearing record content; same-scope equivalence collapse; fixation commutation under admissible transformation; inheritance of the original qualification requirement; persistence-bearing reuse; asymmetry exhaustion; anti-weakening; selector exhaustion. If evidential ordering varies across admissible assignments while the target requires one fixed-domain ordering, the ordering is not defined on that scope merely because numerical values or branch-local reports happen to coincide. The paper therefore treats measurement-record fixation as prior to the theory-level evidential reuse that depends on it. Boundary-trace normal form After internal and provenance/indexical routes have been exhausted, the residual same-domain route is a singleton stable boundary trace. Such a trace is not collapse dynamics, hidden-variable selection, or a new physical mechanism. It is an admissibility-preserving role anchor that can fix a record-bearing assignment only when its channel, incidence, transport law, original authority, and singleton-positive condition are independently warranted. The result distinguishes: sound partial selection from complete role fixation; unique trace value from unique original occupant; class-valued record fixation from raw-token fixation; later discovery of an original qualification from retroactive repair; physical record occurrence from standing evidential identity. Finite quantum specialization The paper occupies the abstract structure with an explicit finite two-branch quantum measurement domain containing: two outcomes; two fine records and one merged record; denominator-two branch weights; a balanced integer-amplitude state; density-table realization; selective and non-selective instrument maps; environment-record maps; projective branch maps; complementary effects; zero-product projectors; repeatability operations. On the declared balanced witness, amplitude weights, density weights, branch-map traces, effect weights, pointer records, instrument records, environment records, and channel records agree on the same branch architecture. Selective surfaces preserve the fine-record distinction. Non-selective surfaces agree only on the merged record. The fine records therefore remain separated, while the declared non-selective surfaces supply no singleton fine-record selector. The finite selector-boundary theorem eliminates the disjunction of candidate hidden selectors across the state, instrument, environment, channel, effect, and repeatability surfaces. The resulting diagnosis is precise: the missing structure is admissible fine-record role fixation, not further branch production, weighting, decoherence, stabilization, or repeatability. Scope and non-claims The manuscript establishes a finite, conditional, manuscript-facing theorem. It does not claim: to derive Hilbert-space quantum mechanics; to derive general POVM theory; to derive full projection-valued-measure theory; to reconstruct the full operator algebra; to provide a general Kraus representation theorem; to reconstruct complete positivity; to derive the continuum Born rule; to derive universal physical decoherence theory; to introduce a new collapse dynamics; to prove that no physical collapse process occurs in nature; to prove physical branch selection; to establish interpretive truth; to classify every possible physical measurement mechanism. The absence of a hidden selector on the declared finite non-selective surfaces is therefore not a theorem that no physical collapse or selection process can occur elsewhere. It is the finite theorem that those declared surfaces do not themselves supply the required fine-record selector. Relation to quantum interpretations The result does not deny the practical success of quantum theory, decoherence, branch-relative reporting, instrumental updates, or decision-theoretic methods. A practice aimed only at prediction, branch-local reporting, or instrumental updating may be a different target from the construction-relative record use studied here. If a theory claims to underwrite retained, prospective, deliberative, and evidential reuse of the same record-bearing construction token, it must preserve the relevant kernel roles and admit a standing-bearing fixation regime. Bare Everettian dynamics, without additional dynamics, ontological privileging, or admissible restriction to one constructional class, supplies no fine-record selector on the declared target. A strategy that preserves non-selective physics while restricting admissible record-fixation assignments belongs to a restriction-to-one-constructional-class route. Instrumentalist and QBist strategies instead reduce or redirect the target explanatory burden. Role in the AASC programme This paper provides the record-fixation layer of the AASC Quantum Determinacy Pair. Its companion Bell-scope work addresses the compatibility and no-signaling side of quantum witness determinacy. Together, the pair treats quantum records and witnesses as kernel-governed standing structures rather than as automatically determinate physical occurrences. The paper’s principal contribution is to identify the first failure point in a physically non-selective measurement regime: The initial problem is not necessarily the production of branch-local outcomes. It is the admissible fixation of the record role through which outcomes are retained, reported, remembered, compared, and used as evidence. The public Lean 4 formalization is synchronized with the finite measurement-boundary release v0.9.1 and provides the finite artifact for the declared effect, projector, compatibility, closed-stack, boundary-certificate, and audit layers. Keywords AASC; measurement problem; quantum measurement; measurement-record fixation; physically non-selective regimes; Everettian non-selection; record-role determinacy; fixed-domain quotient; standing equivalence; boundary-trace fixation; selector exhaustion; decoherence; branch-local records; admissibility and irreversibility; Lean 4 formalization
Calibrated support observations can constrain a complete quantum instrument without identifying its action by unrestricted tomography. We study what those observations guarantee when the noise law is not supplied. On a fixed four-dimensional incidence-record experiment, we define the set of all complete two-outcome completely positive instruments compatible with the exact raw rejection and outcome probabilities, retaining the classical flags. Exact ideal data identify the target, but an explicit family of complete instruments reproduces the nonzero-data category laws of a low-error contamination device while admitting coherent error of square-root order. A target-ray mass certificate and a common complete-dilation comparison give a universal upper, while an exactly feasible rational instrument supplies a stronger lower witness. At the diagnostic parameter r = 1/300000000, the unhalved target-relative worst-case radius lies between 0.000258065115532250 and 0.000951566242566. The result separates avoidable inequality conservatism from information absent from the measured data. Fixed-functional and fixed-map optimizations have separately certified scopes; they do not solve the global radius. The conclusions are conditional on the supplied carrier, calibration and common-device model. They do not establish an apparatus, device-independent certification, a finite-sample power guarantee or complete formal verification. Selected supporting declarations have one recorded successful Lean 4.19.0 macOS execution and declaration-specific source, type and axiom review; this is not an end-to-end formalization.
S0 v0.2a is a claim-control and declaration-ledger synthesis of four published guardrail papers in the Complete-History / Record-Capability sequence. Its purpose is not to propose a physical selector, probability law, Born-rule derivation, single-outcome actualization rule, measurement-problem solution, Bell/no-signaling result, or experimental prediction. Instead, S0 formulates a reusable ledger for separating representation, access/readout, record availability, admissibility, probability/weights, operational frequencies, Born/no-signaling gates, and actualization claims in candidate-history-type proposals. The synthesis organizes the public A-D1-B1-C0 sequence into four negative guardrails: reduced or coarse history structure is not a physical selector; recoverable-record diagnostics are protocol-relative; closure/admissibility is not a probability law; and decohered alternatives, accessible records, single-outcome actualization, and Born-compatible probability laws are distinct notions. The paper introduces a declaration profile, layer ledger, no-automatic-arrows rule, claim-license table, worked audit example, and claim-status classification for proposals that make stronger physical-selector, probability, Born-compatibility, record-actualization, or operational-testability claims. Passing the S0 ledger is not evidence that a proposal is true, empirically adequate, dynamically complete, or physically selected. It only means that the proposal has separated the relevant claim layers and made its additional assumptions or bridge principles explicit enough to be evaluated.This is Synthesis Paper S0 v0.2a in the Complete-History / Record-Capability working-paper sequence. It is a claim-control / declaration-ledger paper only. It introduces no physical selector, no probability law, no Born-rule derivation, no Bell/no-signaling result, no actualization rule, no quantum-mechanics replacement, and no experimental prediction. The uploaded source ZIP contains the LaTeX source. SHA256SUMS.txt provides file-integrity hashes for the uploaded PDF and source archive.