Exact Geometric Resolution of the Strong CP Problem and Deterministic Blind Prediction of the QCD Vacuum Angle via the 5D Complex Matrix M Infrastructure
Year: 2026
Type: article
Abstract: 10.5281/zenodo.24046256 The extreme empirical suppression of the quantum chromodynamic vacuum angle |theta_QCD| < 10^-10, inferred from precision limits on the neutron electric dipole moment (d_n < 1.8 x 10^-26 e*cm), constitutes the Strong CP Problem---one of the most severe fine-tuning paradoxes in continuous quantum gauge field theory. Standard theoretical proposals necessitate postulated global symmetries and hypothetical axion fields with unconstrained decay constants. In this work, operating within the discrete five-dimensional cyclic complex matrix infrastructure M in C^(5x5), we demonstrate that the vanishing of CP violation in the strong sector is a deterministic geometric consequence of bulk boundary decoupling without Peccei-Quinn mechanisms or free parameters. Governed by the quantum vacuum saturation phase bound Phi_C = pi / 4, the non-perturbative coupling invariant Daleth = e / (pi * alpha) ~ 118.5712176, and the cyclic determinant volume measure |det(M)| ~ 0.29867507, the topological vacuum angle maps directly to the fifth-order bulk boundary suppression scale (Daleth^-5): theta_QCD = [cos^2(Phi_C) / Daleth^5] * [1 - |det(M)| / Daleth] ~ 2.1280 x 10^-11 This exact closed-form blind prediction places the observable vacuum angle naturally below the 10^-10 experimental boundary, resolving the unnaturalness problem from first principles. Together with the second-generation muon anomaly (Daleth^-4) and third-generation tau anomaly (Daleth^-3), this derivation establishes an overarching generational and topological dimensional cascade across the complete gauge and flavor hierarchy.
Author: Choi, Joon sik
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225596673