Within the Holographic Vacuum Elasticity (HVE) framework, we present a rigorous analytical derivation of the baseline vacuum suppression constant σ = α/2, which enters the Vacuum Suppression Law (VSL) Oobs = Oideal exp(-χ σ Ω3 fG) as its gauge-sector anchor. By evaluating the effective action of Quantum Electrodynamics (QED) via the functional determinant of the Dirac operator, we demonstrate that the vacuum polarization loop is fundamentally constrained by the discrete charge conjugation symmetry Z2(C) of the virtual electron–positron pair. Application of the Schur–Reynolds confinement fraction derived from the Peter–Weyl theorem (Theorem II, 9) shows that this involutive symmetry algebraically enforces a 1/2 projection on the accessible phase space; combined with the fine-structure constant α governing the coupling strength, the intrinsic metric resistance of the electrodynamic vacuum is deterministically locked at σ = α/2, precluding any continuous phenomenological fitting parameters. The complete logical chain, reduced to a minimal set of six explicitly referenced physical inputs, has been independently machine-verified using the Lean 4 proof assistant (Mathlib); a self-contained narrative account of this verification, free of proof-assistant syntax, is provided in the Supplementary Section.
Luís Cézar Rodrigues (Mon,) studied this question.