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Relational Gravity v1.1: Technical Addendum

Hummel, Erik Tobias
PhilArchive · Papers
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philosophy
NOTE: This work is conceptual and exploratory. It outlines early motivations and heuristic ideas, and should not be taken as identical to the phenomenological models currently under development — including both the structural Δw approach and the scalar-field formulation used in technical perturbation and MCMC analyses. It is intended as background context rather than a formal physical model. Formal derivation of the coherence–curvature relation (G = κ I₍coh₎) in Relational Gravity. Defines T⁽info⁾₍μν₎ and clarifies density vs. coherence as distinct curvature sources. This Technical Addendum accompanies Relational Gravity v1.0: Informational Extension of General Relativity(DOI: 10.5281/zenodo.17377368). It provides the formal derivation of the coherence–curvature proportionality G = κ I₍coh₎, defining the informational stress–energy tensor T⁽info⁾₍μν₎ and its microscopic and coarse-grained forms. The addendum clarifies the distinction between matter density and informational coherence as distinct curvature sources, estimates coupling constants at Planck scales, and discusses stability and testability. This document serves as a citable, stand-alone technical companion bridging general relativity and quantum information theory.
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