A Dual-Pathway, Zero-Parameter Derivation of the Fine-Structure Constant by the CSU Framework

Abstract:

We derive the ne-structure constant αfrom rst principles within the Chrono Singularity Unication (CSU) framework, using zero adjustable parameters. The topological integer NPMI = 137 emerges from 7 electroweak topological channels via the binary configuration-space dimensions of the three Standard Model sectors that couple to the electromagnetic interaction: 27 (charged-fermion irreps) + 23 (colour charges) + 20 (trivial baseline) = 137.

A geometric correction from the U(1) holonomy ux on the self-similar substrate boundary gives α−1(0) = 137 + πϕ 137 = 137.0371, agreeing with the CODATA 2022 value 137.035 999 177(21) to 99.999%. Including the second-order topological correction yields α−1 = 137 + δ−δ2/N = 137.037 09, where the 1/N-suppressed correction (∼10−5) confirms that the rst-order result captures the dominant structure.

Two independent derivation pathways combinatorial (Pathway A) and finite-field algebraic (Pathway B)both yield 137 as the leading integer. As a corollary, the framework predicts sin2 θW = 3/13 at the topological baseline, consistent with the measured value after renormalisation-group running.