Temporal Completability: Cross-Domain Empirical Validation of a Trichotomous Framework for Temporal Organization

Physical systems organize temporally in three measurable modes — terminal (monotonic degradation), cyclical (periodic return), and graceful (horizon-maintaining completion) — separated by sharp phase boundaries. Validated across six domains: quantum circuits (8- and 12-qubit Loschmidt echo with 4.8× DTC-thermal separation), seismic tomography (power-law coastlines at 25/30 depths), asteroseismology (6,562 APOKASC red giants, ρ = 0.9996), mineral evolution (r = 0.970 bio-mineral correlation), synthetic materials (2.75–9.72× acceleration factors), and MHD plasmoid cascades (CV = 0.08%). All eight experiments pass pre-specified success criteria with zero kill conditions triggered. The framework self-identifies its boundary of applicability at the core-mantle boundary, where coastline exponents are indistinguishable from null models.