From Trinity Manifestation to Host-Resolved Physicality: Recursive Registration, Consequence-Preserving Coarse-Graining, Relational Duration, Causal Geometry, and Dynamical Invariance of Spatial and Temporal Standards

Registration Theory (RT) proposes that physicality emerges downstream of primitive Trinity manifestation through consequential registration, recursive daughter formation, retained history, and host-relative coarse-graining. This paper develops a three-level framework distinguishing primitive manifestation, registration-level organization, and emergent physical geometry without presupposing spatial extension, temporal duration, or metric expansion at the foundational level.The analysis consolidates exact conservation results for recursive daughter registration, the distinction between genealogical ancestry and consequential dependence, and the Lorentz-cone structure of a positive-semidefinite registration ledger. It establishes a necessary and sufficient condition for a deterministic registration successor to admit a well-defined host-level coarse-grained successor. Conditional constructions are developed for relational coincidence clocks, synchronization consistency, retained comparison networks, and emergent separation measures.The paper further introduces dynamical invariance of spatial and temporal standards: the possibility that stable measured lengths and durations arise from continuously maintained registration relationships rather than a static underlying geometry. Motion, mass-like persistence, and energy-facing consequences are considered as complementary downstream expressions of conjugate registration organization.The resulting framework identifies mathematical conditions under which operational physicality can emerge from registration dynamics while distinguishing exact structural results from physical identifications that require further derivation and empirical calibration.