A Phenomenological Model Where Vacuum Energy Tracks Local Proper Time Rate: Implications for Evolving Dark Energy and a Null Test with Casimir Cavities

Abstract

_We propose a phenomenological model where vacuum energy density rho_vac = rho_0 [1 + k Phi/c^2] tracks local proper time rate. Motivated by evolving dark energy and difference between voids and clusters. BBN bound |epsilon|<4%. Proposed null test via Casimir pressure annual modulation 3e-10 in solar potential, testable with Cannex. Draft v0.1 with AI language assistance._