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

This record archives version v1.2 of the manuscript "Unified Residual Classicality Criterion for the Quantum-to-Classical Transition" and its supplementary validation package. 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 archive includes the manuscript, supplementary mathematical notes, a supplementary validation report, figures in PNG/PDF/SVG, benchmark CSV files, and Python scripts for reproducing the figures and validation tables. 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. Zenodo DOI: 10.5281/zenodo.20682081.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-13
DOI
https://doi.org/10.5281/zenodo.20682081
Primary Topic
Quantum Mechanics and Applications
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)
Quantum Mechanics and Applications
preprint

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

Mehdi Zadehnour
preprint en

Abstract

This record archives version v1.2 of the manuscript "Unified Residual Classicality Criterion for the Quantum-to-Classical Transition" and its supplementary validation package. 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 archive includes the manuscript, supplementary mathematical notes, a supplementary validation report, figures in PNG/PDF/SVG, benchmark CSV files, and Python scripts for reproducing the figures and validation tables. 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. Zenodo DOI: 10.5281/zenodo.20682081.

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
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