Gravitational Memory in Viscoelastic Spacetime : Photon Phase, Emergent Time, and Galactic Dynamics

This work proposes a new physical interpretation of timebased on photon phase propagation in a viscoelastic spacetime. In this framework spacetime behaves as a medium possessinggravitational memory and relaxation dynamics governed by thecosmological expansion rate. Photon phase accumulation along null trajectories provides anoperational definition of time, while the same viscoelasticdynamics generate an emergent gravitational response onastrophysical scales. This unified picture links the operational flow of time,cosmological expansion, and galactic dynamics within a singlephysical mechanism rooted in spacetime relaxation.