Real-Virtual Dual Field Theory: Golden Fractal Discrete Lattice, Discrete Least Action Principle, Unified Mechanism of Celestial Rotation & Closed Spherical Universe 二元场论:黄金分形离散晶格、离散最小作用量、天体旋转与闭合球形宇宙统一理论

Abstract

Abstract Modern physics suffers fundamental contradictions: General Relativity and Standard Model cannot be unified; the ontology of vacuum is missing; dark matter and dark energy rely on ad-hoc hypotheses; microscopic particle spin, celestial rotation/revolution and galaxy formation lack a unified underlying dynamics. Based on five fundamental axioms of discrete variable lattice dissipative differential geometry, this paper constructs a 4D spacetime framework of real-virtual dual fields on golden fractal lattices. A full discrete variational derivation of the discrete least action principle is carried out. It is rigorously proven that universal conjugate golden decay is the necessary and sufficient condition for the global system action to reach its minimum. Combined with the 3D isoperimetric theorem and ultra-long cosmic evolution dynamics, we demonstrate that a closed spherical cavity is the unique long-term stable topology of a finite-medium universe; flat, hyperbolic and 3-torus spaces are merely metastable transient configurations. Relying on the unified vortex mechanism of virtual field lattice and constrained by the least action principle, this paper systematically explains the complete dynamics of microscopic particle spin, linear inertial motion of isolated celestial bodies, planetary revolution, stellar rotation and galaxy cluster coupling, forming a cross-scale self-consistent logic covering micro lattices, macroscopic celestial bodies and the global cosmos. The whole system contains only one global fundamental coupling constant without exogenous artificial potential terms. In the continuous limit, it naturally converges to classical field theory and low-energy approximation of General Relativity. Multiple falsifiable predictions testable via astronomical observation and laboratory experiments are proposed, with applications in long-duration fusion plasma simulation and cross-scale many-body numerical simulation. Keywords: real-virtual dual field; golden fractal discrete lattice; conjugate golden decay; discrete least action principle; closed spherical universe; vortex spin dynamics; unified field theory 摘要 现代物理存在广义相对论与粒子标准模型无法统一、真空本体缺失、暗物质与暗能量依赖特设假设、微观自旋与天体自转公转缺少底层统一动力学、星系形成机制不明等核心矛盾。本文基于离散可变晶格耗散微分几何五大基础公理,构建黄金分形晶格四维实虚二元场时空框架,完整完成离散变分推导离散最小作用量原理,严格证明全域共轭黄金衰减是系统作用量取全局极小的充要条件。结合三维等周定理与万亿年尺度宇宙演化动力学,论证闭合球形空腔是有限介质宇宙唯一长期稳定拓扑;平直、双曲、三维环空间仅为亚稳态过渡构型。本文依托虚场晶格涡旋统一机制,以最小作用量为底层约束,统一解释微观粒子自旋、天体直线惯性运动、行星公转、星体自转、星系集群耦合形成的全套动力学根源,打通微观晶格、宏观天体、全域宇宙跨尺度自洽逻辑。整套体系仅含单一全局基础耦合常数,无外源人为势能项;连续极限下自动收敛为经典场论、广义相对论低能近似,同时给出多项可实验室、天文观测检验的可证伪预言,可应用于核聚变等离子体长时仿真、跨尺度多体数值模拟。 关键词:实虚二元场;黄金分形离散晶格;共轭黄金衰减;离散最小作用量;闭合球形宇宙;自旋涡旋动力学;统一场论