SRE Dynamics: A Foundational Reconstruction of Classical Electrodynamics via Discrete Graph Topology and Bidirectional Causality

Abstract

This paper presents a paradigm shift in fundamental physics, replacing continuum spacetime background, continuous electric charges, and scalar energy fields with Status‑Relational‑Entropy (SRE) Dynamics. Macro‑physical phenomena are mapped onto a discrete graph network of infinite nodes, where fundamental electrical relations are derived using first‑order and n‑th‑order adjacency matrices. We introduce four observational‑mapping anchors $(\kappa_{I},\kappa_{R},\kappa_{V},\kappa_{P})$ which employ known universal constants as conversion interfaces to translate dimensionless discrete‑topology quantities into empirical SI laboratory measurements (Amperes, Ohms, Volts, Watts). These mapping interfaces are not endogenously derived purely from SRE axioms; fully endogenous derivation of universal constants remains a long‑term research objective. Furthermore, SRE Dynamics ontologically unifies classical circuits with special‑relativistic mass‑energy equivalence $E=mc^2$ by redefining mass as localized causal loops, maps macroscopic thermodynamic entropy to statistical decoherence of graph sub‑structures, and mathematically formalizes alternating‑current (AC) resonance via graph‑Laplacian spectral decomposition. The framework enables direct interfacing of SRE topological descriptions with power‑system and semiconductor‑device engineering simulations. 本文实现基础物理层面的范式转变,采用状态‑关系熵(SRE)动力学替代连续时空背景、连续电荷以及标量能量场。将宏观物理现象映射到由无穷节点构成的离散图网络之上,借助一阶与n阶邻接矩阵推导电学基本关系。本文引入四组观测映射锚$(\kappa_{I},\kappa_{R},\kappa_{V},\kappa_{P})$,以已知普适常数作为转换接口,把无量纲离散拓扑量转换为SI实验室测量量(安培、欧姆、伏特、瓦特)。该组映射接口并非纯粹由SRE公理内生推导得到;完全内生推导各类普适常数属于远期研究目标。此外,SRE动力学在本体层面将经典电路与狭义相对论质能等价关系$E=mc^2$实现统一,将质量重新定义为局域因果闭环;把宏观热力学熵映射为图子结构的统计退相干;并通过图拉普拉斯谱分解对交流(AC)谐振完成数学形式化。该框架支持将SRE拓扑描述直接对接电力系统与半导体器件工程仿真。