Closing the Gap: Formal Proof that CCEGA P39. Density-Dependent Gravity is Geometry-Independent

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Authors: Marc López Sánchez
Cited by: 8
References: 6

Abstract

Description Formal derivation of G_eff(ρ) in static spherical symmetry via Gauss-Codazzi projection. The bulk Weyl tensor contribution E_μν is suppressed by G_N·ρ_c/λ ~ 10⁻⁵⁰ in the RS2 low-energy limit. G_eff^(stellar) = G_N·exp(−ρ/ρ_c) to O(10⁻⁵⁰) correction — identical to the cosmological result (P18). Papers P34–P38 formally consolidated. Open problem of P17 resolved. Numerical divergence in iterative TOV was implementation artefact, not physical. CCEGA Program Paper 39.

Fields of Study & Subjects

Cosmology and Gravitation Theories Galaxies: Formation Evolution Phenomena Astronomy and Astrophysical Research

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
1 April 2026
Language
EN
Document type
Preprint