Z₃ Vacuum Inertia in Nanoscale Transport

Nanoscale conductors and interfaces exhibit anomalous AC transport and enhanced superconducting critical temperatures that extend beyond conventional electron-phonon descriptions. We propose a complementary mechanism arising from the inertial response of a $\mathbb{Z}_3$-graded vacuum sector to time-varying electromagnetic fields. In-medium renormalization softens TeV-scale vacuum modes into low-energy collective excitations at surfaces and interfaces, introducing a characteristic response time $\tau_{\rm vac}$. This vacuum inertia modifies the effective conductivity, leading to frequency-dependent features such as high-frequency skin depth saturation, non-monotonic surface resistance, and enhanced macroscopic quantum coherence in nanostructures. Quantitative, ab initio predictions for skin depth plateaus, loss spectrum characteristics, and critical dimension effects on nanowire $T_c$ are derived and found to be consistent with experimental observations in high-purity metals and interface superconductors. The framework provides a unified perspective on these mesoscopic anomalies, bridging algebraic high-energy structures with low-energy quantum materials phenomena.