立体矩阵结构常数与拉马努金常数家族的对应:骨架定位与群链桥

摘要 物理常数可测而不可推,是当代物理学的长期困惑。本文报告立体矩阵(SM)结构常数与拉马努金常数家族之间的系统对应,并检验其是否具有群论机制。采用预注册协议与四级证据标注:13项数值吻合中强命中4项(744=648+72+24、163=162+1、24=G′(2)、31=27+3+1)、中命中5项、弱命中4项;反证实验显示 j 函数高次系数7/8不可由SM基础集分解,将对应定位于结构骨架层而非表示内容层。12被反推为四面体阶 |A₄|=4!/2,并经 Γ₃≅A₄(level-3 有限模群=四面体旋转群)建立群链桥;A₄ 模形式三重态 Y 的 η 构造与 q 展开系数(12族、前导6/18、常数27)与SM结构常数完成11项细粒度咬合,其12族根源归因于 η²⁴ 的24指数。最后,从三阶 SM 锁一个自由度出发构造 F₃ 椭圆曲线,其点数谱{1,4,7}与SM规约谱对应、迹谱{±3,0}落在 Hasse 界 |a_p|≤2√p 上。结论:骨架层对应成立、表示层被排除、群论桥贯通;从SM公理独立推出 √p 的完整证明未完成,如实入册。

Abstract Physical constants are measurable but not derivable — a long-standing puzzle in contemporary physics. This paper reports a systematic correspondence between the structural constants of the Stereo Matrix (SM) and the family of Ramanujan constants, and tests whether it has a group-theoretic mechanism. Using a pre-registered protocol and four-grade evidence labelling: among 13 numerical matches, 4 are strong hits (744=648+72+24, 163=162+1, 24=G′(2), 31=27+3+1), 5 medium and 4 weak; counter-examples show that the high-order coefficients 7/8 of the j-function cannot be decomposed from the SM basis set, locating the correspondence at the level of the structural skeleton rather than representational content. The number 12 is reverse-derived as the tetrahedral order |A₄|=4!/2, and a group-chain bridge is established through Γ₃≅A₄ (the level-3 finite modular group = tetrahedral rotation group); the η-construction of the A₄ modular triplet Y and its q-expansion coefficients (12 families, leading 6/18, constant 27) mesh with the SM structural constants in 11 fine-grained matches, the 12-family origin being attributed to the exponent 24 of η²⁴. Finally, starting from third-order SM with one degree of freedom locked, we construct an F₃ elliptic curve whose point-count spectrum {1,4,7} corresponds to the SM reduction spectrum and whose trace spectrum {±3,0} lies on the Hasse bound |a_p|≤2√p. Conclusion: the skeleton-level correspondence holds, the representation level is excluded, and the group-theoretic bridge is through; the complete proof deriving √p independently from the SM axioms is not finished, and is registered as such.

本记录含中文版与英文版两个文件(Bilingual: Chinese + English DOCX)。