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Phase‑Locked Loop Dynamics: Unified Physical Models Across Microscopic, Mesoscopic and Macroscopic Systems

Fuchuang Qin

Published May 6, 2026• 0 citations
Publisher

Abstract

This collection of preprints establishes a unified theoretical framework based on the core axiom that all existence arises from stable phase‑locked closed‑loop systems. From the fundamental principle of phase gradient force, the series reconstructs deterministic descriptions of quantum tunneling, fusion dynamics, quantum‑classical thermodynamics, quantum‑gravitational signatures, consciousness phase transition, and social collective steady‑state behaviors. All models eliminate non‑probabilistic assumptions, derive physical quantities from pure dynamic coupling, and propose verifiable predictions across multiple disciplines.

DOI
10.5281/zenodo.20048020

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Physical theory remains fragmented across classical, quantum, thermodynamic, and gravitational regimes despite deep mathematical overlap. This work proposes phase coherenceas a primitive organizing principle governing physical evolution. By formalizing dynamics as extremization of a global coherence functional over admissible phase states, classicalequations of motion, unitary quantum evolution, thermodynamic irreversibility, quantumnonlocal correlations, and probabilistic structure emerge without independent postulation.Gravitation is reinterpreted as curvature of a coherence metric rather than a fundamentalforce. The framework is explicitly falsifiable and forbids objective wavefunction collapse,fundamental time asymmetry, and point-like graviton degrees of freedom.
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This work presents a rigorous mathematical framework for phase dynamics in configuration space. All physical dynamics are derived from a smooth phase field Φ without assuming forces, particles, or fundamental time. The framework introduces the Euler–Phase equation, derives the unique quantum potential, and recovers classical mechanics in the limit κ → 0. It includes explicit mappings to Hamilton–Jacobi and Madelung formulations, gauge symmetry analysis, circulation quantization, and a comparison of Phase Dynamics with classical and quantum mechanics. This unified approach generalizes both CM and QM, allowing topologically nontrivial and multi-valued phase structures.