Supplementary Note S1 (Phase 2): Why τ* Is Not an Anthropic Parameter This note addresses a central concern in Phase 2 of Bit-Collapse Theory (BCT): whether the persistence threshold τ* should be interpreted as an “anthropic” parameter. The answer proposed here is no. τ* is framed as an operational, architecture-dependent threshold arising from physical constraints on record retention and accessibility, rather than from human-centric cognition or semantics. Core points: τ* is defined operationally as the minimal timescale required for a record channel to stabilize at least Ic ≥ 1 effective bit with error ≤ ε, within the agent’s integration window. The role of τ* follows from identity self-consistency across updates: without sufficient persistence, the overlap of accessible records across times fails, making the “same experience/same agent” equivalence unstable. τ* is distinct from standard decoherence timescales (e.g., τ_dec) and is tied instead to retention/loss properties of the record substrate. The note includes explicit predictions and falsifiers, intended to complement the Phase 2 falsifiability program. This Supplementary Note is intended to be integrated into the next update of the main Phase 2 package. Related main record (Concept DOI): https://doi.org/10.5281/zenodo.18496128 Keywords: Bit-Collapse Theory, τ*, persistence threshold, records, accessibility, non-anthropic parameter, falsifiability, quantum foundations.
Supplementary Note S1 (Phase 2): Why τ* Is Not an Anthropic Parameter This note addresses a central concern in Phase 2 of Bit-Collapse Theory (BCT): whether the persistence threshold τ* should be interpreted as an “anthropic” parameter. The answer proposed here is no. τ* is framed as an operational, architecture-dependent threshold arising from physical constraints on record retention and accessibility, rather than from human-centric cognition or semantics. Core points: τ* is defined operationally as the minimal timescale required for a record channel to stabilize at least Ic ≥ 1 effective bit with error ≤ ε, within the agent’s integration window. The role of τ* follows from identity self-consistency across updates: without sufficient persistence, the overlap of accessible records across times fails, making the “same experience/same agent” equivalence unstable. τ* is distinct from standard decoherence timescales (e.g., τ_dec) and is tied instead to retention/loss properties of the record substrate. The note includes explicit predictions and falsifiers, intended to complement the Phase 2 falsifiability program. This Supplementary Note is intended to be integrated into the next update of the main Phase 2 package. Related main record (Concept DOI): https://doi.org/10.5281/zenodo.18496128 Keywords: Bit-Collapse Theory, τ*, persistence threshold, records, accessibility, non-anthropic parameter, falsifiability, quantum foundations.
Companion paper to the current BCT Phase-2 program. This note introduces the Record Threshold Principle (RTP) as a single operational spine for three connected sectors: observer-definiteness, irreversibility, and record-support assignment. RTP states that event-like distinctions and time-directed classifications are organized by threshold crossing in record channels: a distinction counts only when the relevant record is accessible, redundant/robust, and persistent beyond a calibrated threshold. No modified Schrödinger dynamics is introduced; the global state may remain unitary while “collapse” is treated as an agent-relative update of an equivalence-class label induced by stable record updates. The paper develops three sectors under one channel-threshold rule: a retention-organized measurement wedge with preregistered defeat conditions, a Loschmidt-style irreversibility criterion with a critical redundancy threshold, and a Gleason-style uniqueness route for a record-support measure within a frozen coarse-grained regime. The aim is compression: one generator relation applied to different physical channels, rather than three unrelated mechanisms. This record should be read as a companion note within the broader BCT corpus, alongside the main BCT Phase-2/Axiom 0 materials and the project website. Main BCT DOI:https://doi.org/10.5281/zenodo.18496128 Project website:Bit-Collapse Theory (BCT) — Phase 2 AI disclosure:AI tools were used as drafting and editorial assistants during the development of this manuscript. All conceptual responsibility, selection of claims, verification of scope, and final scientific judgment remain with the author.
BCT Phase 2 — Supplementary Note S2: Born Rule (Revised) This Supplementary Note provides a revised and improved formulation of the Born rule within the Phase 2 framework of Bit-Collapse Theory (BCT). It supersedes the Born-rule note included in the current Phase 2 package. Key points: The Born rule is derived as the unique probability measure compatible with record-defined outcomes, accessibility constraints, and invariance requirements, without introducing new dynamics. Measurement outcomes are defined via stable record subspaces, avoiding observer-dependent or semantic assumptions. The revised formulation clarifies the role of standard assumptions (e.g. dimensionality, embedding of qubit cases) and their scope within Phase 2. The result is intended as a structural consistency result, not as a modification of quantum mechanics. This record is Supplementary Note S2 for the Phase 2 main package and is intended to be integrated into the next update of the main DOI. Related main record (Concept DOI): https://doi.org/10.5281/zenodo.18496128 Keywords: Bit-Collapse Theory, Born rule, quantum probability, records, accessibility, quantum foundations.
Bit-Collapse Theory (BCT) treats collapse as a threshold effect of stable, accessible which-way information. This note provides a minimal, pre-registered thermal route to test—and potentially refute—that core criterion. The proposal links temperature to record retention via a conservative memory-loss model and predicts a visibility transition when retention falls below the minimum stability requirement. Explicit falsifiers and technology-agnostic experimental protocols are stated to separate retention effects from ordinary dephasing and to define clear failure conditions for the model. This document is intended as a standalone operational sharpening of the core BCT collapse claim. The consolidated framework, context, and ongoing updates are maintained under the main BCT DOI record: 10.5281/zenodo.17263998. Keywords: which-way information; quantum eraser; thermal noise; memory retention; falsifiability; information threshold; interference visibility; decoherence control.
Bit-Collapse Theory (BCT) is an ontological interpretation of quantum mechanics in which the primitive is not a physical collapse, but informational identity. A (conscious) configuration is treated as a discrete informational macro-state: multiple microphysical realizations may instantiate the same macro-identity, so experiential “superposition” corresponds to physical multiplicity under one informational equivalence class. “Collapse” is defined as equivalence-breaking: when a distinguishing bit becomes macro-relevant and persistently recorded, a shared macro-description can no longer cover the alternatives, yielding distinct continuations. This release is designed for public dissemination and includes:(1) a technical note deriving Born weights as the unique identity-measure compatible with fine-graining invariance and symmetry, and linking the experiential arrow of time to the monotonic accumulation of persistent records, with an explicit bridge to subsystem entropy via entanglement and redundancy;(2) a short popular booklet introducing the framework without mysticism;(3) an objections & responses document;(4) a compact glossary. BCT introduces no modification to Schrödinger dynamics and is presented as an interpretive framework: it reorganizes definiteness, probability, and temporal directionality in terms of informational equivalence classes and persistent records. Note: This DOI currently contains an exploratory technical note, a popular booklet, a glossary, and a short objections-and-responses document. The package develops BCT as an exploratory interpretation centered on informational identity, Born measure, and the arrow of time from persistent records. One especially promising line within the package is the bridge from persistent records to entanglement, subsystem entropy growth, and the arrow of time. A fuller technical version would require additional work on the selection/relevance criterion for the descriptive map, a more explicit positioning relative to Quantum Darwinism, and a stronger treatment of the relation between the present Born-measure argument and standard fine-graining approaches. For now, this record is kept as a structured exploratory package rather than as a finalized journal-ready paper. AI assistance disclosure: Large language models (LLMs) were used during the development of this work. The author is solely responsible for the content and any errors. If you’d like to collaborate (technical critique, examples, simulations, or experimental test ideas), email me at batoritranslation@gmail.com — I’m happy to discuss and will credit substantial contributions in future releases. Keywords: quantum foundations; interpretation of quantum mechanics; measurement problem; Born rule; decoherence; quantum Darwinism; informational identity; equivalence classes; persistent records; arrow of time; entropy; macro-definiteness; information theory
Working / philosophical package. Not part of the current BCT Canon (Phase-2 / Axiom0) set. This record collects three linked philosophical/foundational working drafts within the broader Bit-Collapse Theory (BCT) project: Record-Based Subjectivity — an ontological account of subjects as record-integrated continuities of experiential configurations; Superposition, Records, and Difference — a record-based account of quantum definiteness, centered on the constraint that no definiteness is available without record-integrated difference; The A=A Problem for Everettian Branching — a conditional argument that branch multiplicity does not by itself imply subject multiplicity unless subject-constituting informational difference is present. Together, these papers define a coherent philosophical line:subjectivity → definiteness → Everettian subject-individuation. These drafts do not propose new quantum dynamics. They are shared as philosophical/foundational working papers for critique, refinement, and conceptual collaboration. Background: independent researcher.Web site: https://bit-collapse-theory.netlify.app/Main DOI: 10.5281/zenodo.18496128 AbstractThis package gathers three philosophical/foundational BCT working papers centered on record-based subjectivity, quantum definiteness, and Everettian observer ontology. Record-Based Subjectivity proposes that a subject is not a primitive ego or bodily container, but a temporally integrated record-configuration whose continuity grounds identity. Superposition, Records, and Difference argues that quantum definiteness requires not merely physical correlation but record-integrated difference, and distinguishes physical distinguishability, public objectivity, and configuration-relative definiteness. The A=A Problem for Everettian Branching argues conditionally that if subjects are individuated by informational or record-based structure, then branch multiplicity does not automatically yield subject multiplicity. The package does not present a new physical theory; it presents a coherent philosophical line within BCT, shared for critique and development. Keywordsbit-collapse theory; quantum foundations; personal identity; subjectivity; record-based ontology; quantum definiteness; Everett interpretation; branching observers; informational identity; philosophy of mind
This record contains version 2 of the preprint “Identifiability Limits in Experimental Tests of Quantum Collapse.” It supersedes the conceptually broader first version deposited under DOI 10.5281/zenodo.19617199 and substantially revises the framing, formal results and experimental analysis. The paper formulates experimental tests of objective-collapse dynamics as an operational identifiability problem. It shows that finite accessible CPTP process statistics cannot uniformly distinguish fundamental nonunitarity from an unrestricted unitary-environment dilation. It then separates visibility loss, record formation and global measurement access, and derives a nuisance-profiled Fisher-information criterion for determining when complementary measurement channels jointly identify a shared collapse-parameter vector. A four-arm matched-control architecture is proposed that combines baseline stability, coherent reversibility, calibrated decoherence, durable-record formation and at least one independent side-effect channel. The result is a falsifiable experimental decision framework and a boundary on what accessible data can establish; it is not presented as an ontological solution of the quantum measurement problem. A major technical revision is available as version 3 under DOI 10.5281/zenodo.22072199. This record contains version 2 of the preprint “Identifiability Limits in Experimental Tests of Quantum Collapse.” It supersedes the conceptually broader first version deposited under DOI 10.5281/zenodo.19617199 and substantially revises the framing, formal results and experimental analysis. The paper formulates experimental tests of objective-collapse dynamics as an operational identifiability problem. It shows that finite accessible CPTP process statistics cannot uniformly distinguish fundamental nonunitarity from an unrestricted unitary-environment dilation. It then separates visibility loss, record formation and global measurement access, and derives a nuisance-profiled Fisher-information criterion for determining when complementary measurement channels jointly identify a shared collapse-parameter vector. A four-arm matched-control architecture is proposed that combines baseline stability, coherent reversibility, calibrated decoherence, durable-record formation and at least one independent side-effect channel. The result is a falsifiable experimental decision framework and a boundary on what accessible data can establish; it is not presented as an ontological solution of the quantum measurement problem. Files in this record:1. Main preprint PDF.2. Reproducibility package containing the journal-neutral source, editable manuscript, original figures, deterministic calculation and figure-generation code, machine-readable results, citation metadata and SHA-256 checksums. The included calculations are deterministic mathematical and synthetic checks; they are not experimental validation.