When does geometric change belong to one continuing spacetime, and when does a reduced representation erase the distinction between different spacetimes? General relativity realizes the full LP architecture through its constrained metric and matter system. We establish the physical bearer needed for each question, then distinguish development identity, continuation and the verdicts of embedded bodies and relations. The central result combines the Cauchy development theorem with a quotient criterion. Complete Cauchy data on any Cauchy surface of one development reconstruct the same development; a reduced representation can certify that identity exactly when the development class is constant on its fibres. Locally flat noncompact and toroidal universes give an exact obstruction: identical local geometry need not determine global constitution. A dust cosmology gives the converse distinction: unequal instantaneous Cauchy data can represent one continuing spacetime. Further worked results show why a round boundary metric does not determine a regional energy, why a growing marginal horizon does not equal an event horizon, and why extendibility does not imply a uniquely determined successor. The seven general relativity questions of the earlier paper are retained and integrated on this foundation. Q1, Q2a, Q2b and constitutional multiplicity remain separate, with explicit carrier maps and proof obligations. The Einstein equations are used unchanged.
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Marc Maibom (2026) studied this question.
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