Trinity Master Scale--Boundary Time Geometry--Null--Modular Double Cover: Integrated Unification Theory From Scattering Phase to Time Crystals, Local Quantum Conditions and Cosmology

We construct a unified observation framework with the trinity master scale as the unique scale source, organizing scattering phase, Wigner--Smith group delay, Birman--Krein spectral shift function, modular time, gravitational boundary time, Null--Modular double cover, time crystal spectral pairing, mod-2 spectral flow of self-referential scattering networks, generalized entropy variation, finite-order windowed error discipline, and capability--risk frontier as different projections and functor i