Global Self‑Relaxing Non‑Conservative Media: Dissipative Dynamics, Endogenous Emergence of Golden Fractals and Its Application to Solar‑System Orbital Evolution 全域自松弛非守恒介质 耗散动力学、黄金分形内生涌现及其太阳系轨道演化应用

Abstract Classical fluid mechanics, granular‑media mechanics and celestial mechanics are all built upon the fundamental postulate of local/global density conservation: density variations arise only from local compression and redistribution induced by object motion, while the medium itself possesses no spontaneous, global, unidirectional and irreversible dilution‑relaxation processes. This study proposes a novel framework for non‑equilibrium continuum‑physics: the dissipative dynamics of global self‑relaxing non‑conservative media. Such media undergo irreversible dissipative diffusion outward from a central gravitational source, with their global mean density decreasing monotonically over time. Outward drag driving force arises from medium relaxation, whereas intrinsic medium field resistance provides nonlinear dissipative drag; the two terms maintain long‑term dynamic balance. Without manually inserting the golden‑ratio parameter, this nonlinear dissipative system under push‑pull balance can endogenously produce the steady state of conjugate golden decay and self‑similar golden‑fractal hierarchical structures. Applying this medium‑dynamics framework to gravitationally‑bound orbital systems of the Solar System, an orbital‑evolution model for planets within density‑decreasing media is constructed. The model predicts that residual orbital drift of planets increases with semi‑major axis; drift amplitudes remain small in the inner Solar System and become significantly amplified in the outer Solar System. The conjugate‑golden‑decay rate is adopted to describe the evolutionary behaviour of inter‑planetary orbital spacing, offering a physical explanation for Neptune’s deviation from the Titius‑Bode law. Multiple falsifiable observational predictions are presented. As a newly opened‑up research direction, this work represents a phase of exploratory investigation. Parts of analytical derivations have not been fully closed, and several key parameters are constrained only by physical reasoning and phenomenological fitting. Further examinations via analytical derivation, numerical simulation and observational data are still required. Keywords: non‑conservative medium; global self‑relaxation; field‑resistance dissipation; conjugate golden decay; golden fractal; orbital drift; Titius‑Bode law; Solar‑system structure 摘要 传统流体力学、颗粒介质力学、天体力学均建立在介质局部 / 全局密度守恒的基础假设之上:介质密度变化仅来源于物体运动引发的局部挤压与重分布,介质本身不存在自发、全局、单向不可逆的稀释松弛过程。本研究提出一类全新非平衡连续介质物理框架 —— 全域自松弛非守恒介质动力学。该类介质以中心引力场为基点向外发生不可逆耗散扩散,全局平均密度随时间持续降低;介质松弛产生向外拖拽驱动力,介质本征场阻提供非线性耗散阻力,二者形成长期动态平衡。该推拉平衡的非线性耗散系统无需人为植入黄金比例参数,可内生涌现共轭黄金衰减稳态与自相似黄金分形层级结构。 将该介质动力学框架应用于太阳系束缚轨道系统,建立密度递减介质下的行星轨道演化模型。模型预言行星轨道残余漂移随轨道半长轴增大而升高;内太阳系漂移微弱,外太阳系漂移效应显著放大。利用共轭黄金衰减率描述行星轨道间距演化,对提丢斯‑波得定则无法解释的海王星轨道偏离给出物理解释。同时给出多组可证伪观测预言。 作为新开辟的研究方向,本工作属于阶段性探索,部分解析推导尚未完全闭环,若干关键参数仅通过物理图像与唯象约束给出,有待后续解析推导、数值仿真与观测数据进一步检验。 关键词:非守恒介质;全域自松弛;场阻耗散;共轭黄金衰减;黄金分形;轨道漂移;提丢斯‑波得定则;太阳系结构