Spacetime Substantivalism VI: A Universal Constitutive Law of Spacetime Response from Solar Systems to Black Hole

Abstract
We report evidence for a universal constitutive amplification factor governing how spacetime converts baryonic loading into observed gravitational response across more than twenty orders of magnitude in scale. Starting from a purely geometric definition based on observed-to-effective deformation area ratios, we identify three invariant response plateaus: unity in the Solar System, ∼ 5 in disk galaxies, and 6.67 at black hole horizons. These values emerge directly from geometric constraints and are independently confirmed by observational data from the SPARC galaxy database, weak-lensing cluster measurements, and
Event Horizon Telescope imaging of Sagittarius A* and M87*. The results suggest that gravitational anomalies commonly attributed to dark matter reflect intrinsic nonlinear response properties of the spacetime medium itself, without modifying
Einstein field equations.

本文报道了关于普适本构放大因子的证据,该因子统御着时空如何在超过二十个数量级的尺度跨度上,将重子负荷转化为观测到的引力响应。

从基于“观测面积与有效变形面积比”的纯几何定义出发,我们识别出了三个不变的响应平台:

1. 太阳系中的 1(单位值);

2. 盘状星系中的约 5;

3. 黑洞视界处的 6.67。

这些数值直接源自几何约束,并得到了来自 SPARC 星系数据库、弱引力透镜星系团测量,以及 EHT(事件视界望远镜) 对人马座 A*(Sagittarius A*)和 M87* 成像观测数据的独立证实。

研究结果表明,通常归因于暗物质的引力异常,实际上反映了时空介质自身的内在非线性响应属性,而无需修改爱因斯坦场方程。