Time and Space as Quantum Geodesic Unfolding

This paper derives spacetime structure, geodesics, and temporal ordering as consequences of maximal admissible continuation under constraint. Building on an admissibility-first foundation, it reformulates geodesics as paths that maximize persistence rather than extremize action by assumption. Time is treated as a quantum ordering relation emerging from admissible transition sequences, without reliance on external clocks or observer-dependent synchronization. A proto-time structure is introduced to explain temporal ordering prior to metric instantiation, remaining fully compatible with relativistic causality. Photon spheres, horizons, and black-hole boundaries are reinterpreted as marginal admissibility shells,…