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Quantum Information Copy Time (QICT): A Conditional Prediction Ledger for Receiver-Limited Information Transport and Falsification Tests

Mohamed Sacha

Published Apr 28, 2026• 0 citations
Publisher

Abstract

This manuscript is submitted as a Hypothesis rather than as an announcement of a con- firmed physical theory. It defines Quantum Information Copy Time (QICT) as a receiver- limited certification time for transferred quantum or hydrodynamic information and consol- idates the resulting test statements into a de-duplicated supplementary prediction ledger. The scientific purpose is restricted: to specify assumptions, falsification routes, and ob- servational or laboratory discriminants, not to claim discovery of dark matter, dark en- ergy, emergent gravity, or early-galaxy anomalies. After duplicate removal, cosmic-dawn integration, and the latest author-supplied cosmology update, the ledger still contains 99 non-redundant conditional statements. The strongest claims concern operational trans- port, locality constraints, open-system spectral criteria, and explicit failure conditions; the particle-physics, cosmological, gravitational, and cosmic-dawn entries are retained only as conditional benchmark tests requiring independent computation or data confrontation. All numerical windows are therefore presented as model-dependent targets. The manuscript includes data-availability, conflict-of-interest, funding, ethics, and AI-assisted-preparation statements to comply with preprint screening requirements.

DOI
10.5281/zenodo.19837101

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This manuscript is submitted as a Hypothesis rather than as an announcement of a con- firmed physical theory. It defines Quantum Information Copy Time (QICT) as a receiver- limited certification time for transferred quantum or hydrodynamic information and consol- idates the resulting test statements into a de-duplicated supplementary prediction ledger. The scientific purpose is restricted: to specify assumptions, falsification routes, and ob- servational or laboratory discriminants, not to claim discovery of dark matter, dark en- ergy, emergent gravity, or early-galaxy anomalies. After duplicate removal, cosmic-dawn integration, and the latest author-supplied cosmology update, the ledger still contains 99 non-redundant conditional statements. The strongest claims concern operational trans- port, locality constraints, open-system spectral criteria, and explicit failure conditions; the particle-physics, cosmological, gravitational, and cosmic-dawn entries are retained only as conditional benchmark tests requiring independent computation or data confrontation. All numerical windows are therefore presented as model-dependent targets. The manuscript includes data-availability, conflict-of-interest, funding, ethics, and AI-assisted-preparation statements to comply with preprint screening requirements.
This submission package presents a journal-oriented synthesis of the publicly retrievable predictive content in the Quantum Information Copy Time (QICT) corpus available through 19 March 2026. The main manuscript is intentionally selective in form but not selective in archival scope: it is written for referee-readable flow, while a separate supplementary atlas preserves every retrieved prediction-type item, including strong theorem-level statements, conditional benchmark claims, exploratory search targets, and weak or restated entries that would otherwise disappear in a shortened article. The synthesis is version-aware. It does not collapse numerically distinct claims into a single preferred number when the public record changes. The operational transport core is organized around locality-constrained certification times, diffusive benchmark scaling, inverse-Liouvillian spectral control, and the open-system obstruction criterion. The phenomenological layer is organized around audit-depth closure, gauge-coded hypercharge selection, versioned singlet-scalar mass corridors, collider stress tests, gravity proposals built from information geometry and relative entropy, and copy- horizon cosmology with the hard consistency bound 0 < cQ ≤1. The resulting package is designed to be academically stronger than a single omnibus PDF: the main text stays readable, while the supplement makes sure that even weak, exploratory, or low-confidence public predictions are not silently discarded.
This submission package presents a journal-oriented synthesis of the publicly retrievable predictive content in the Quantum Information Copy Time (QICT) corpus, available through 19 March 2026. The main manuscript is intentionally selective in form, but not in archival scope. It is structured to ensure a smooth, referee-readable narrative, while a separate supplementary atlas preserves the full record of retrieved prediction-type items. This includes strong theorem-level statements, conditional benchmark claims, exploratory search targets, as well as weak or restated entries that would otherwise be omitted in a condensed article. The synthesis is explicitly version-aware. It does not collapse numerically distinct claims into a single preferred value when the public record evolves, thereby maintaining fidelity to the historical progression of results.
We formulate and benchmark an operational timescale—the quantum information copy time—that quantifies how rapidly a localized bias in an initial many-body state becomes remotely certifiable using measurements restricted to a distant receiver region. The definition is intrinsically information-theoretic: for a fixed distinguishability threshold \eta \in (0,1), the copy time \tau_{\mathrm{copy}}(A \to B; \eta) is the earliest time at which the reduced states on B become distinguishable with advantage at least \eta, quantified by the trace distance and equivalently by the optimal Helstrom measurement. We present (i) a minimal theorem that isolates the genuinely nontrivial ingredients—locality, conservation laws, and an explicit receiver-observable class—and (ii) a controlled hydrodynamic closure in which the copy time is governed by a second-moment spectral susceptibility that ties the receiver advantage to the slowest transport mode. We then provide reproducible exact-diagonalization benchmarks in the XXZ chain that (a) extract finite-size transport diagnostics with conservative uncertainty quantification and (b) delineate failure modes in integrable and near-integrable regimes. TEBD/MPS calculations are included only as qualitative cross-checks (Supplementary File S1) and are not used to support asymptotic scaling claims. Finally, we include a brief, clearly separated outlook on how locality-preserving quantum cellular automata (QCA) and code-subspace constraints might shape operational copy-time distances; this material is explicitly conjectural and is not used in any theorem, bound, or numerical claim.
We formulate and benchmark an operational timescale—the quantum information copy time— that quantifies how fast a localized bias in an initial many-body state becomes remotely certifiable by measurements restricted to a distant receiver region. The definition is intrinsically information-theoretic: for a fixed distinguishability threshold η ∈ (0, 1), the copy time τcopy(A → B; η) is the earliest time at which the reduced states on B become distinguishable with advantage at least η, measured by trace distance and equivalently by the optimal Helstrom measurement. We present (i) a minimal theorem that isolates which inputs are genuinely nontrivial (locality, conservation laws, and an explicit receiver observable class), and (ii) a controlled hydrodynamic closure in which the copy time is governed by a second-moment spectral susceptibility that couples the receiver advantage to the slowest transport mode. We then provide reproducible exact-diagonalization benchmarks in the XXZ chain that (a) extract finite-size transport diagnostics with conservative uncertainty quantification and (b) delimit failure modes in integrable and near-integrable regimes. TEBD/MPS calculations are included only as qualitative cross-checks (Supplementary File S1) and are not used to support asymptotic scaling claims. Finally, we situate these results inside the broader QICT program, where locality-preserving quantum cellular automata (QCA) and code-subspace constraints motivate using copy-time distances as primitives for an operational geometry; we keep this outlook explicitly conjectural and separate from the proved/validated statements.
We compile the falsifiable predictions stated across the Quantum Information Copy Time(QICT) preprint series into a single referee-usable atlas. Each entry is recorded as an observablestatement with (i) an explicit numerical value or band when available, (ii) a minimal hypothesisset, and (iii) a concrete falsification route. The atlas is conservative: it standardizes notationand uncertainty conventions (e.g., explicit 1σ bands) without introducing additional modelingbeyond what is stated in the sources.