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, geometric regions where continuation thins but does not terminate. This reframing resolves information-loss pathologies without invoking new physics or altering General Relativity. The paper provides explicit falsifiable predictions related to near-horizon spectral behavior, geodesic instability, and transition exclusion under extreme curvature. All results are expressed in GR/QFT-compatible language and are downstream of, but independent from, the admissibility-first formalism. This work is intended for researchers in gravitational physics, quantum foundations, and spacetime theory seeking a consistency-driven reinterpretation of geodesics and temporal structure. Keywords by Domain General Relativity geodesics spacetime structure horizons photon spheres curvature effects Quantum Foundations proto-time quantum ordering non-classical temporality admissible transitions Theoretical Physics spacetime emergence constraint-driven dynamics boundary phenomena information preservation Mathematical Physics path admissibility continuation geometry extremal structures variational reformulations