RGMEC — Mathematical Structure: Relative Gravitational Matter–Energy Confinement — A Structural Interpretation of Gravitational Time Dilation.

Le résumé fourni par la source

Relative Gravitational Matter–Energy Confinement (RGMEC) provides a complementary structural interpretation of gravitational time dilation while remaining mathematically identical to the Schwarzschild limit of General Relativity. Compactness C = GM/(Rc²) is identified as the primary descriptor of gravitational confinement, with the relative temporal evolution factor Θ = √(1 − 2C). No new field, force, free parameter, or modification of Einstein’s equations is introduced. This monograph organizes the physical variables into a constrained configuration space and develops associated fiber-bundle geometry, structural transport and curvature, sheaf-theoretic global organization, spectral geometry, persistent topology, variational principles, and observational correspondence. It carefully distinguishes established relativistic relations from exploratory structural descriptors and hypotheses. The work also includes contribution-specific material associated with the separate Słowik–Alhawarat investigation of extreme gravitational collapse and the post-neutron-star-stability boundary. The finite-core and microscopic-hierarchy hypothesis originates with Marcin Słowik; its subsequent mathematical and physical investigation with Ali Alhawarat constitutes their joint contribution. This does not alter the attribution of the parent RGMEC framework to Ali Alhawarat. Scientific status: RGMEC is presented as a zero-parameter structural interpretation, not as a modification of General Relativity. Exploratory quantities such as the Structural Coherence Index (SCI) and Structural Connectivity Index (SCN) remain candidates requiring independent operational definition and observational validation.

Ce résumé expose les affirmations des auteurs. BNTIC ne l’interprète pas comme une validation indépendante des résultats.