General Coherence Field Theory: The Last Constant and the Closure of the Coherence Horizon

General Coherence Field Theory (GCFT) proposes a geometric and coherence-based framework in which large-scale physical structure emerges from spectral symmetries, electromagnetic coherence dynamics, and the topology of the S3S^3S3 de Rham complex. In The Last Constant, the final undetermined parameter of the GCFT/DS series — the logarithmic wall jump χwall\chi_{\text{wall}}χwall — is derived directly from the RheoMu electromagnetic kernel through tree-level topology and higher-order electromagnetic loop corrections. The work develops a perturbative structure in which Hodge duality supplies the foundational 1/21/21/2 contribution, while photon self-energy corrections generate finite coherence-wall shifts proportional to powers of the fine-structure constant. The resulting expression, χwall=12+2αEM−αEM2+O(αEM3),\chi_{\text{wall}} = \frac{1}{2} + 2\alpha_{\mathrm{EM}} - \alpha_{\mathrm{EM}}^2 + O(\alpha_{\mathrm{EM}}^3),χwall=21+2αEM−αEM2+O(αEM3), reproduces the archived coherence value to within parts-per-million precision and closes the final open gate in the GCFT/DS framework. With all parameters derived from geometry and measured electromagnetic coupling alone, the theory advances a fully parameter-free prediction chain linking coherence structures, orbit-locking relations, luminosity-to-mass predictions, and observable cosmological signatures testable by JWST and future gravitational-wave surveys. Basically: topology, photons, spectral walls, giant cosmic claims, and enough “gate closed” declarations to sound like a medieval fortress simulator. Very dramatic. Scientists do love a trilogy arc.