We present a parameter-free derivation of the fine-structure constant alphaₑm = 1/137. 036 (error 4 parts per million vs CODATA 2022) from a single uniqueness postulate within Motti Intermediate Physics (HAL, Hyper-Anisotropic Luminal Physics). The derivation proceeds through an exact algebraic chain: the conformal coupling lambda = 8*pi/9 is fixed by the uniqueness principle (Postulate V), producing the Fubini-Lipatov instanton action Sᵢnst = 3*pi, the functional determinant trace TrD*V'' = 6 (Watson 1944), the two-loop factor exp (-1/ (3*pi) ), and the renormalization-group coefficient betaRG = 2/pi. These combine into the master transcendental equation whose unique positive root is alpha* = 1/137. 03652. The Postulate V uniqueness condition is shown to be a theorem, not an axiom: n=27 is the unique SO (4) -covariant quantization of the compact coherential phase field, determined by the degeneracy d₂^SO (4) = 27 of the Fubini-Lipatov instanton zero modes. From the same postulates, the effective gravitational constant is derived as Gₑff = GN/C₀ (Postulate IV), and the gravitational spin memory correction is derived as epsilon = C₀ - 1 = alphaₑm = +0. 7297% (Postulate V applied to the merger observable). This prediction is universal (independent of mass, distance, mass ratio and spins), positive definite, and falsifiable with LIGO O5 (N~1093 events for 3sigma), LISA (1. 46 sigma per supermassive event), and the Einstein Telescope (3. 65 sigma with one SNR>500 event). A Bayesian analysis of 67 BBH events from GWTC-3 gives epsilon = +1. 46 +/- 0. 98% (1. 49 sigma vs GR), consistent with the prediction. All gaps in the derivation are explicitly declared and characterized.
Mordecai Gavila Alvarez (Thu,) studied this question.