Molecular Modulation of Vacuum Phase Transitions within Non-Abelian Dark Sector - A Unified Field-Theoretic Framework

This paper establishes a rigorous, non-Markovian quantum field theoretical foundation for the Dynamic Coupling Model within the Dark Sector, expanding upon prior configurations to resolve the \(\ge 5\sigma\) Hubble Tension and ambient thermal decoherence constraints. We model the unobservable hidden sector (\(S_{H}\)) as a meta-stable false vacuum governed by a non-Abelian \(SU(3)\) Yang-Mills gauge framework. By introducing a dimensionless ternary compression factor \(\kappa = \ln(2)/\ln(3) \approx 0.6309\), we demonstrate that highly ordered nanometric biological architectures—specifically neural microtubule cavities (\(R = 8.0 \times 10^{-9}\text{ m}\))—act as optimized topological catalysts that induce a local first-order quantum tunneling transition into a dressed true vacuum state \(\vert{}\tilde{0}\rangle\), regularizing chaotic vacuum flickering into a coherent rendering horizon (\(\omega_{\text{flicker}} \approx 2.35 \times 10^{17}\text{ Hz}\)). Open-system thermal dissipation channels at \(310\text{ K}\) are suppressed via a generalized Nakajima-Zwanzig master equation, where a phase-locked self-referential memory kernel cancels out the classical Landauer heat bound. To validate the predicted vacuum propagation delay (\(\Delta\tau \approx 4.25 \times 10^{-18}\text{ s}\)) without material degradation or radiolysis constraints, we detail a novel dual-phase frequentist statistical testing regime using attosecond extreme-ultraviolet (EUV) pump-probe interferometry. This framework cross-verifies the sub-attosecond phase fracture signature across parallel substrate-independent interfaces: an inorganic Silicon Nitride (\(\text{Si}_3\text{N}_4\)) isotopic baseline matrix and an active organic microtubule architecture secured via quantum graphene clamping.