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Classical–Quantum Correlation Structures: A Conceptual Reconstruction Across Scales

Albert Briffoz

Published Jan 6, 2026• 0 citations
Publisher

Abstract

This article proposes a unified conceptual reconstruction of physical phenomena by examining the recurring structural patterns that connect classical and quantum systems across scales. Oscillatory behavior, potential landscapes, and binding principles form a common mathematical template that appears in mechanical oscillators, molecular vibrations, atomic orbitals, and quantized field modes. By reframing quantum phenomena as refinements of classical oscillatory structures rather than conceptual discontinuities, this work highlights the deep continuity that underlies modern physics. The framework also clarifies energy minimization, mass defect, statistical behavior, and vacuum fluctuations as manifestations of shared principles. Implications for pedagogy, theory building, and cross‑disciplinary coherence are discussed.

DOI
10.5281/zenodo.18165735

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This article proposes a unified conceptual reconstruction of physical phenomena by examining the recurring structural patterns that connect classical and quantum systems across scales. Oscillatory behavior, potential landscapes, and binding principles form a common mathematical template that appears in mechanical oscillators, molecular vibrations, atomic orbitals, and quantized field modes. By reframing quantum phenomena as refinements of classical oscillatory structures rather than conceptual discontinuities, this work highlights the deep continuity that underlies modern physics. The framework also clarifies energy minimization, mass defect, statistical behavior, and vacuum fluctuations as manifestations of shared principles. Implications for pedagogy, theory building, and cross‑disciplinary coherence are discussed.
Extended version / Monograph-length manuscript This work proposes a unified conceptual reconstruction of physical phenomena by examining the recurring structural patterns that connect classical and quantum systems across scales. Oscillatory behavior, potential landscapes, and binding principles form a common mathematical template that appears in mechanical oscillators, molecular vibrations, atomic orbitals, and quantized field modes. By reframing quantum phenomena as refinements of classical oscillatory structures rather than conceptual discontinuities, this work highlights the deep continuity that underlies modern physics. The framework also clarifies energy minimization, mass defect, statistical behavior, and vacuum fluctuations as manifestations of shared principles. Implications for pedagogy, theory building, and cross‑disciplinary coherence are discussed.The innovative hypotheses, which depart from classical norms, will be explicitly marked with the heading HYPOTHESIS. As such, they are excluded by default from use as references in current academic or educational frameworks. They may instead be considered “revolutionary attempts to be monitored”, that is, the very “targets” mentioned by Weinberg.Albert Einstein introduced, on the one hand, a special relativity that he wished to be perfectly reversible, and on the other hand, general relativity which, when applied to cosmology, imposed on our Universe a spherical and static state—thus of constant radius—resisting gravitational collapse through the repulsion of the cosmological constant.Here, the associated relativities will instead give priority to irreversible systems evolving in accordance with the second law of thermodynamics, within their local space-time domain of one-way time flow.
Extended version / Monograph-length manuscript This work proposes a unified conceptual reconstruction of physical phenomena by examining the recurring structural patterns that connect classical and quantum systems across scales. Oscillatory behavior, potential landscapes, and binding principles form a common mathematical template that appears in mechanical oscillators, molecular vibrations, atomic orbitals, and quantized field modes. By reframing quantum phenomena as refinements of classical oscillatory structures rather than conceptual discontinuities, this work highlights the deep continuity that underlies modern physics. The framework also clarifies energy minimization, mass defect, statistical behavior, and vacuum fluctuations as manifestations of shared principles. Implications for pedagogy, theory building, and cross‑disciplinary coherence are discussed. The innovative hypotheses, which depart from classical norms, will be explicitly marked with the heading HYPOTHESIS. As such, they are excluded by default from use as references in current academic or educational frameworks. They may instead be considered “revolutionary attempts to be monitored”, that is, the very “targets” mentioned by Weinberg. Albert Einstein introduced, on the one hand, a special relativity that he wished to be perfectly reversible, and on the other hand, general relativity which, when applied to cosmology, imposed on our Universe a spherical and static state—thus of constant radius—resisting gravitational collapse through the repulsion of the cosmological constant. Here, the associated relativities will instead give priority to irreversible systems evolving in accordance with the second law of thermodynamics, within their local space-time domain of one-way time flow. quantum physics, classical physics, grand unification, field theory, atomic stability, Albert Briffoz, physique quantique, unification, théorie des champs
This paper develops a relational framework that reinterprets quantum mechanics as the behavior of a continuous generative field governed by the propagation and resolution of orientation under constraint. In this account, superposition reflects unresolved constraint geometry, collapse arises when constraint stabilizes and forces coherence to resolve, tunneling emerges from the propagation of constrained orientation through regions of elevated constraint density, and entanglement results from shared constraint boundaries that enforce joint coherence resolution across separation. Probability is reframed as coherence‑weighting across unresolved resolution paths, and the classical limit appears when constraint geometry becomes sufficiently stable to produce deterministic updates. The wavefunction is interpreted as a mathematical encoding of coherence across constraint geometry rather than a physical object or epistemic state. This unified mechanism dissolves the conceptual divides between classical, quantum, electromagnetic, and energetic behavior, situating all physical phenomena within a single operator framework grounded in the continuous structure of the relational field. The result is a coherent, mechanism‑level redefinition of quantum mechanics that integrates its core phenomena without invoking discontinuities, intrinsic randomness, or dual ontologies.
This work develops a scale-invariant, discrete-frame interpretation of quantum mechanics based on the concept of historical geometry. In this framework, space is not a static background but a layered geometric archive formed by sequential, scaled frames of reality. Macroscopic objects continuously extend their geometric structure across frames, establishing stable centers, mass, inertia, and gravitational behavior. Elementary particles, however, cannot continue their historical geometric structure independently. This loss of geometric continuation provides a mechanical explanation for core quantum phenomena: superposition as a set of compatible geometric continuation options, wave-function collapse as reattachment to a macroscopic geometry, and entanglement as shared global geometric constraints. The theory proposes that the classical–quantum boundary is defined not by size, decoherence, or measurement, but by the ability (or inability) of a system to maintain geometric continuity across frames. This work is intended as a conceptual and structural foundation for a unified scale-based description of quantum behavior and gravitation.
In this work, I present a historical and conceptual closure of a physical framework based on coherence as a fundamental organizing variable. Rather than proposing an alternative theory opposed to classical or modern physics, this article provides a structural synthesis that makes explicit what remained implicit in the formulations of Maxwell, Einstein, Planck, Schrödinger, and Boltzmann.I show that fields, forces, quantization, spacetime curvature, entropy, and consciousness can be understood as emergent manifestations of different regimes of coherence. In doing so, this work addresses a long-standing gap in physics: the absence of a physical principle explaining why these equations work and what they describe ontologically.This article serves as a historical closure rather than a technical endpoint, reframing physical law as an emergent consequence of coherence.