Unified Residual Classicality Criterion for the Quantum-to-Classical Transition

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

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-18
DOI
https://doi.org/10.5281/zenodo.20750070
Primary Topic
Advanced Thermodynamics and Statistical Mechanics
Type
preprint
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preprint

Unified Residual Classicality Criterion for the Quantum-to-Classical Transition

Mehdi Zadehnour
Zenodo (CERN European Organization for Nuclear Research)
Advanced Thermodynamics and Statistical Mechanics
preprint

Unified Residual Classicality Criterion for the Quantum-to-Classical Transition

Mehdi Zadehnour
preprint en

Abstract

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

Zenodo (CERN European Organization for Nuclear Research)
Advanced Thermodynamics and Statistical Mechanics
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