V.2 更新说明: V.2 在保留 V.1 核心闭式结果与技术链条的基础上,系统强化了本文的理论定位、对象层区分与叙述结构。新版进一步明确本文讨论对象是 G 的耦合张量结构而非引力场方程,并将自由能极小支上的稳定读出统一收束为 G 自由能极小公设(GFM)。同时,V.2 更清晰地区分了“18 通道总承载方向数”与 ℓ = 0, 1, 2 三通道结构分解,并统一整理了主文与补充材料中的术语、逻辑桥接和英文翻译准备。 V.2 update note: V.2 retains the core closed-form results and technical chain of V.1, while substantially sharpening the paper’s theoretical positioning, object-level distinctions, and exposition. It makes explicit that the paper concerns the coupling-tensor structure of G, rather than a modification of gravitational field equations, and unifies the stable readout on the free-energy minimum branch under the G Free-Energy Minimum Postulate (GFM). It also clarifies the distinction between the 18 carrying directions and the three-channel ℓ = 0, 1, 2 decomposition, while further standardising terminology, logical bridges, and translation-readiness across the main text and the supplementary material. 本文汇集与主文对应的扩展推导、方法学说明与符号表,内容包括结构涨落的本征几何标尺、球核基准 G₀ 的详细闭式推导、δ₀ = 1/(32π) 的归一来源、TACC 壳层再分配与 ℓ = 1 二次回授的技术细节,以及 q₀ 条件反演的流程与交叉检验说明。主文及其文内附录已给出本文所需的闭式链条;这里保留的是较长的对象层解释、扩展推导与方法学材料。This supplement collects the extended derivations, methodological notes, and symbol list corresponding to the main text. It includes the intrinsic geometric scale of structural fluctuations, the detailed closed-form derivation of the spherical-kernel baseline G₀, the normalisation origin of δ₀ = 1/(32π), the technical details of TACC shell redistribution and the quadratic feedback of ℓ = 1, and the procedure and cross-check notes for the conditional inversion of q₀. The main text and its in-text appendices already provide the closed-form chain required for the present paper; what is retained here are the longer object-level explanations, extended derivations, and methodological materials.
Wu et al. (Sat,) studied this question.