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Conservation of Quantum Information in Gapped Baths: The Duality-Depleted Regime

Ali Bourizk

Published Oct 17, 2026• 0 citations
Publisher

Abstract

Changes in this version (v3.1). This version supersedes Version 3.0 deposited under DOI 10.5281/zenodo.23483273. It restores the full author metadata (Ali Bourizk) in the LaTeX/PDF files for the public Zenodo record, adds the complete numerical validation script (test_pillar1.py) and the BibTeX database (references.bib) to the upload package for full reproducibility, updates the CHANGELOG.txt file, and adds a comprehensive README.md file. The mathematical results and proofs (including the exact threshold at J0 = 0.405Δ) remain strictly unchanged and locked from v3.0.

DOI
10.5281/zenodo.23435302

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Changes in this version (v3.1). This version supersedes Version 3.0 deposited under DOI 10.5281/zenodo.23483273. It restores the full author metadata (Ali Bourizk) in the LaTeX/PDF files for the public Zenodo record, adds the complete numerical validation script (test_pillar1.py) and the BibTeX database (references.bib) to the upload package for full reproducibility, updates the CHANGELOG.txt file, and adds a comprehensive README.md file. The mathematical results and proofs (including the exact threshold at J0 = 0.405Δ) remain strictly unchanged and locked from v3.0.
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This Zenodo record provides the reproducibility package for the published paper “Interference-First Reality: Multi-Observer Emergence of Objectivity and Time from Information Geometry,” published in the Journal of Applied Mathematics and Physics. The deposited material includes the scripts, data products, tables, figures, source files, and supplementary outputs required to reproduce the analyses and results reported in the article. This repository is intended to ensure methodological transparency, facilitate independent verification, and support the reuse and reproducibility of the published research. Note (2026-10). An updated version of the code supplement is available at https://doi.org/10.5281/zenodo.23269851 (record 10.5281/zenodo.17672528, updated version 2026-10). It corrects the selection of the raw GWOSC strain files, now bound to the GPS window of the requested event, and adds the HRV epoch and CMB smoothing observer constructions; all permutation null tests are generated by the released launcher with one statistic, B = 5000 and seed 12345. The observed Jensen–Shannon distances reported in the article are unchanged; the null distributions of the updated version supersede those of this supplement. See CHANGES.md in the updated package.
This record archives version v1.3 of the manuscript “Unified Residual Classicality Criterion for the Quantum-to-Classical Transition” and its full reproducibility package. This version is the repository companion to the journal-submission version prepared for Quantum Studies: Mathematics and Foundations. It includes the main manuscript, supplementary mathematical notes, supplementary validation report, figure source archive, LaTeX/source archive, benchmark CSV files, Python scripts, manifest files, citation metadata, license file, checksums, and author declarations. The work proposes a falsifiable, comparator-dependent residual-vector criterion for assessing quantum-to-classical behaviour. Classicality is certified only when predeclared residual channels — dynamical, semiclassical, operational, coarse-graining, and open-system — simultaneously pass their declared tolerances for a specified comparator, observable class, resolution, norm, and finite time interval. The work does not claim a universal solution to the measurement problem or a universal proof of quantum-to-classical emergence; it provides a finite-time certification framework with sufficient error-control conditions and controlled benchmark validation. Version-specific DOI: 10.5281/zenodo.20750070Previous version DOI: 10.5281/zenodo.20682081