The Big G Formula: A Geometric Scale of Gravity and Entropy

Arcman

大G公式：引力和熵的几何刻度

The Big G Formula: A Geometric Scale of Gravity and Entropy
https://doi.org/10.5281/zenodo.19016753

摘要：
在标准物理学中，引力通常被概念化为由经验质量参数化的时空曲率。在本函中，我们论证指出，引力张力并非一种基本相互作用，而是源自纯几何 $T(1,2)$ 真空流形的一种宏观拓扑残余。在“自发加倍定律”的支配下，该底层流形在其共轭的时间轴与空间轴之间，呈现出一种严格的 $2^4 : (2^4-1)$ 动态不对称性。

我们引入了“大G公式”（Big G Formula），将引力严格重新定义为对重叠时间自由度进行的一种对数（熵）评估。经由基础量子刚度的倒数进行归一化后，该公式揭示出：引力常数本质上是一个为维持拓扑一致性所必需的内在几何标度因子。

这一无量纲的理论框架确立了引力作为一种绝对几何否决机制的地位，旨在抵御时间发散现象；且该机制完全独立于物理质量。本稿对拓扑作用量进行了严谨的数学展开，内容涵盖非对称几何度规张量及明确的欧拉-拉格朗日推导过程，并展示了其与CODATA经验数值在定量层面上的高度吻合。

Abstract:

In standard physics, gravity is conventionally conceptualized as spacetime curvature parameterized by empirical mass. In this Letter, we demonstrate that gravitational tension is not a fundamental interaction, but a macroscopic topological residual arising from a pure geometric vacuum manifold. Governed by the Law of Spontaneous Doubling, the underlying manifold exhibits a strict dynamic asymmetry between its conjugate temporal and spatial axes.

We introduce the Big G Formula, redefining gravity strictly as the logarithmic (entropic) evaluation of overlapping temporal degrees of freedom. Normalized by the inverse base quantum rigidity, the formula reveals that the gravitational constant is fundamentally an intrinsic geometric scaling factor required to maintain topological consistency.

This dimensionless framework establishes gravity as an absolute geometric veto mechanism against temporal divergence, completely independent of physical mass. The manuscript features a rigorous mathematical expansion of the topological action, including the asymmetric geometric metric tensor and explicit Euler-Lagrange derivations, alongside a quantitative alignment with CODATA empirical values.