Theoretical analysis establishes finite-order closure and a quantum source interface for matter identity offsets, demonstrating compatibility with gravitational effective field theory.
This work proposes a primitive provenance-typed Source Law for autonomous matter-origin identity offsets. The complete autonomous matter-identity lineage is recursively saturated and quotiented before a local metric source is formed. The global identity record q_G is thereby distinguished from its possible local source image q_L, with the Source Law imposing q_L = 0 while ordinary local matter response and genuine gravitational effective-field-theory coefficients remain active. Under the stated provenance-preserving map class, the paper establishes conditional closure at every specified finite perturbative matter order. Version 1.2.0 additionally constructs a conditional one-loop quantum source interface at fixed topology and fixed compact/flux branch. A reduced BV construction, regulated factorization argument and source-antifield counterterm analysis preserve the normalized source equations while retaining legitimate gravitational volume renormalization. This is a compatibility realization of the postulated Source Law, not its derivation from ordinary gravity, BRST symmetry or a microscopic ultraviolet completion. No higher-loop gravitational theorem, branch selection, protection of the total cosmological coefficient, or prediction of the magnitude or sign of the cosmological constant is claimed. This record contains the main manuscript, technical companion and reproducible TeX source package with bibliography and SHA-256 checksum manifest. Project homepage: https://johansson.digital
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Germund Johansson (2026) studied this question.
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