A Purely Mathematical Derivation of the Fine-Structure Constant within 1.62σ of CODATA 2022, Using a Universal Computational Function for Physical Constants

The fine-structure constant α has long remained one of physics’ most enigmatic numbers. We present a purely mathematical derivation of α using a universal computational function built from a minimal axiomatic foundation. The Kosmoplex function K (a, r, σ ) generates a 42-element mathematical alphabet through octonionic units and Fano-plane incidence relations, while a universal functional C extracts numerical values via category-dependent operations. Applied to electromagnetic channel capacity between an 8-dimensional substrate and 4-dimensional spacetime, this framework yields α−1 = 137.035999143, in 1.62σ agreement with the CODATA 2022 value α−1 = 137.035999177(21) (and 2.8σ relative to CODATA 2018). The result arises from four non-arbitrary contributions: (1) base capacity of 137 subchannels, (2) 8D phase-space correction 1/(8π), (3) projection loss via the Euler–Mascheroni constant γ, and (4) lattice effects involving Apéry’s constant ζ (3). A logarithmic correction tied to cosmic phase parameter n ≈ 8.07 × 1060 reflects spinor cosmology, where α and α−1 are conjugates in a 720° structure. Independent derivations, combinatorial, geometric (Yang–Baxter), and spinor, converge on the same value. Statistical tests show the zero-parameter prediction rivals empirical fitting (∆AIC ≈ 0.6) and achieves decisive Bayes support (≳ 1013). The same function generates constants (e, π, φ , √2, ln 2) and predicts a falsifiable altitude-dependent variation of α at (4.60 ± 0.15) × 10−16 km−1, positioning electromagnetic coupling as an invariant of discrete mathematical architecture.