万有引力常数的微观起源与对电磁—引力层级问题的解释 - Microscopic Origin of Gravitational Constant and Explanation for the EM-Gravity Hierarchy Problem

摘要 万有引力常数 G 的实验测量长期存在不同装置与方法之间的系统性散布。本文在热力学第二定律(Second Law of Thermodynamics, SLT)的自由能极小原则下,于零场平衡(Zero-Field Equilibrium, ZFE)各向同性临界背景(χ → 0)与双阈值联动 w₀–W₀ 的显影条件下,通过九门限离散闭合得到无自由参数的临界参考值: G₀ = √3 (ħc / mₚ²) α¹⁸ 定义无量纲引力耦合常数(Gravitational Coupling Constant, GCC)为 αG⁽ᵖᵖ⁾ ≡ G₀mₚ² / (ħc),立得电磁--引力层级闭合验算: αG⁽ᵖᵖ⁾ = √3 α¹⁸ 在实验计量(metrology)层面,测得值的“跑动”最小分解为几何/取向弱归一因子 K(χ) 与有限观测窗口或等效带宽导致的协议因子 r(ν) ≤ 1,从而: Gₘₑₐₛ(χ, ν) = K(χ) r(ν) G₀ 因此,必须在“两因素外推归一”框架中对 K(χ) 与 r(ν) 独立标定并外推至 (χ, ν) → (0, 0),测得值方可与理论参考点 G₀ 直接对照。 Abstract Experimental measurements of the gravitational constant G have long suffered from systematic discrepancies between different apparatuses and methods. Under the principle of minimum free energy of the Second Law of Thermodynamics (SLT), and under the manifestation conditions of a Zero-Field Equilibrium (ZFE) isotropic critical background (χ → 0) and dual-threshold linkage w₀–W₀, this paper derives a parameter-free critical reference value via nine-threshold discrete closure: G₀ = √3 (ħc / mₚ²) α¹⁸ Defining the dimensionless Gravitational Coupling Constant (GCC) as αG⁽ᵖᵖ⁾ ≡ G₀mₚ² / (ħc), we immediately obtain the electromagnetic-gravitational hierarchy closure verification: αG⁽ᵖᵖ⁾ = √3 α¹⁸ At the level of experimental metrology, the "running" of measured values is minimally decomposed into a geometric/orientational weak normalization factor K(χ) and an agreement factor r(ν) ≤ 1 resulting from a finite observation window or equivalent bandwidth, such that: Gₘₑₐₛ(χ, ν) = K(χ) r(ν) G₀ Therefore, K(χ) and r(ν) must be independently calibrated and extrapolated to (χ, ν) → (0, 0) within a "two-factor extrapolation normalization" framework before the measured values can be directly compared with the theoretical reference point G₀. Additional Information and disclaimer: The original was written in chinese. The ideas, names and postulates are from the human authors. AI helped with formatting and doing some of the calculations, and AI translated the original chinese paper into english, which is also added.