Relational Gravity v1.0: Informational Extension of General Relativity

This paper introduces Relational Gravity, an extension to general relativity that incorporates structured information, modeled through quantum entanglement entropy, as a source of spacetime curvature. We modify the stress–energy tensor to include an informational component: Tµν = T matter µν + T radiation µν + T info µν, where T info µν is derived from the variation ofentanglement entropy with respect to the metric. This framework reinterprets dark matteras localized informational density bound to galactic topology and dark energy as the expansive effect of growing cosmic entropy. It addresses the vacuum catastrophe by treating local (Higgs) and global (dark energy) vacua as scale-separated expressions of relational structure. Consciousness is considered as a high-density form of informational organization, potentially influencing quantum measurement, but the core emphasis is on physical testability. We derive the formalism, discuss implications for quantum mechanics and cosmology, and propose four sharpened quantitative predictions linked to ongoing experiments (e.g., JWST, EHT, quantum optics). This approach bridges general relativity, quantum information theory, and emergent gravity, offering a testable path toward unification. Also archived on Zenodo for long term preservation (DOI: 10.5281/zenodo.17377368) --- Foundational Framework Statement Relational Gravity (Hummel 2025) introduces the informational-geometric framework in which spacetime curvature is proportional to coherent information density (???? = κ I₍coh₎). This publication constitutes the conceptual and ontological foundation of the Relational Gravity model. All subsequent derivations and observational tests extend this work. Linked works (non-clickable addresses): Technical Addendum (v1.1): doi: 10.5281/zenodo.17435692 Short Paper: Relational Gravity: Coherence from Atoms to Cosmos. A Unified View of the Dark Sector doi: 10.5281/zenodo.17548415 License: CC BY 4.0 Author ORCID: 0009-0005-6192-3372