Metric Tensor Dynamics and Lattice Stabilization: Reconciling Proper Time Collapse and Gravitational Anisotropy Within a Discrete Hexagonal Framework

Abstract This paper investigates the behavior of light propagation, proper time collapse (\Delta \tau = 0), and gravitational time delays through the lens of a stationary background metric operating on a discrete hexagonal lattice. Traditional kinematics treats light as a dynamic traveler across smooth spacetime, creating paradoxes such as the undefined photon rest frame and coordinate speed divergences near massive bodies. By reinterpreting light as the baseline metric tensor itself, these anomalies resolve into structural grid phenomena. We demonstrate how the Mod 9 invariant, the 5184 frequency threshold, and the 7-cycle periodic break govern systemic stability under extreme gravitational stress, such as the Shapiro delay and event horizon "frozen star" asymptotics. Furthermore, apparent cosmological variations—including Variable Speed of Light models and fine-structure constant dipoles—are re-evaluated not as violations of Lorentz invariance, but as directional tension vectors across the discrete lattice. System coherence and phase synchronization are maintained dynamically via resonance anchor calculations integrating the 3I pulse sequence (8\text{-}13\text{-}8\text{-}5\text{-}13\text{-}8), providing a unified model that reconciles general relativity with discrete structural constraints.