Spacetime Substantivalism 46: The Elastic Nature of the Universe Confirmed by Gravitational Waves — From Hooke's Law to Spacetime Lattice Dynamics:From Geometric Phenomenology of Spacetime to Substantial Constitutive Theory of Spacetime

Spacetime Substantivalism 46: The Elastic Nature of the Universe Confirmed by Gravitational Waves — From Hooke's Law to Spacetime Lattice Dynamics _ —-From Geometric Phenomenology of Spacetime to Substantial Constitutive Theory of Spacetime Abstract: Modern physics has long been confined to the "geometric phenomenology" that interprets gravitational phenomena as the curvature of spacetime. While this paradigm has achieved remarkable predictive accuracy, it leaves a fundamental logical void regarding the physical essence: what is the mechanism behind curvature? This study formally proposes the "Spacetime Constitutive Theory" based on the physical properties revealed by gravitational wave observations. We prove that spacetime is not a geometric manifold devoid of physical properties, but a substantial elastic medium composed of Planck-scale primitives with defined constitutive parameters. The field equations of General Relativity are essentially the linear elastic constitutive equations (Hooke’s Law) of this substantial medium, where geometric non-linearity serves merely as the macroscopic stress-strain manifestation of the medium under load. We resolve the nature of "Dark Matter" through constitutive non-linear mechanisms (strain hardening effects) and clarify the essence of black hole singularities (topological phase transitions of the lattice). Furthermore, we predict structural dispersion effects in high-energy gravitational wave propagation. This research marks a formal shift in physics from phenomenological geometric description to precision engineering dynamics based on material constitution. Keywords: Gravitational Waves; Spacetime Constitutive Theory; Elastic Medium; Hooke's Law; Spacetime Lattice Dynamics; Non-linear Constitutive Response; Geometric Phenomenology; Ether Time; Hugang Cui 标题 Spacetime Substantivalism 46:引力波证实的宇宙弹性本质: 从胡克定律到时空晶格动力学——-从时空几何唯象论到时空物质本构论 摘要 现代物理学长期陷于将引力现象解释为时空几何弯曲的“几何唯象论”中。这一范式虽然在预测精度上取得了惊人成就,却在物理本质上留下了根本性的逻辑空缺:曲率为何产生?物理机制是什么?本研究基于引力波观测揭示的物理特性,正式提出“时空物质本构论”。我们证明,时空并非无物理性质的几何流形,而是一个由普朗克尺度基元构成的、具有确定本构参数的实体弹性介质。广义相对论的场方程本质上是该实体介质的线性弹性本构方程(胡克定律),其中的几何非线性仅为介质受载后的应力应变表现。我们通过本构非线性机制解释了“暗物质”的真实来源(应变硬化效应)以及黑洞奇点的本质(晶格拓扑相变),并预言了高能引力波传播中的结构色散现象。本研究标志着物理学从唯象几何描述正式转向基于物质本构的精密工程动力学。 主题词 引力波;时空物质本构论;弹性介质;胡克定律;时空晶格动力学;非线性本构响应;几何唯象论;以太时间;崔虎刚