Global Geometric Relaxation and the Temporal Organization of Gravitational Solutions

This preprint is part of a three-paper series exploring physical realization as a temporally organized process constrained by relativistic causality. The present paper addresses the temporal organization of global gravitational solutions. While general relativity fully specifies local dynamics and causal propagation, it does not contain a principle governing how long it takes for a new globally coherent geometric configuration to be realized after a large-scale perturbation. Requiring temporal coherence across a finite spatial extent L implies a minimal global organizational timescale of order T∼L/c. This relation follows directly from relativistic causal structure and does not modify local field equations or introduce new dynamical degrees of freedom. Instead, it constrains the temporal assembly of global solutions. The resulting global geometric relaxation manifests as a finite delay in the realization of coherent large-scale configurations. The framework provides a natural interpretation of empirically inferred relaxation timescales in dissociative galaxy cluster mergers, showing them to be consistent with minimal causal bounds rather than with modified gravitational dynamics.