A Structural Time Invariant and Censorship Theorem in Developmental Geometry

Version 1.3 presents the fully refined structural formulation of the DG time invariant and censorship theorem. This release consolidates the forced derivations into a clean, self‑contained chain: the balance axiom yields the metric, the metric yields the quadratic cone, and the cone yields the unique proper time invariant and its universal δ−1/2 divergence. The structural censorship theorem is now proved directly from the finite‑propagation bound, and the correspondence with special relativity is framed as a geometric inevitability rather than an analogy. v1.3 introduces a fully reorganized exposition, a clarified dependency map, a strengthened uniqueness proof, and a sharper treatment of cone‑boundary behavior. The result is a compact, theorem‑driven paper that isolates the core mathematical structure of DG without interpretive claims.