Closure-Density Dependence of the Effective Gravitational Coupling and the Structural Origin of the Hubble Tension

This paper investigates the density dependence of the effective gravitational constant $G_{eff}$ within the Projective Dynamic Logo (PDL) framework. By analyzing the 18-fold hierarchical amplification of the primary coherence-leakage parameter $\epsilon_G$, the author demonstrates that the gravitational coupling is not a universal constant but a function of the local density of stable closures. Using the surface engagement fraction $\sigma(N)$ derived from the proton’s integer architecture (24, 28, 930, 10087, 11017), the work provides a structural resolution to the Hubble tension, interpreting it as a scale-transition signature between high-density local measurements and low-density cosmological observations.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-24
DOI
https://doi.org/10.5281/zenodo.19206959
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
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article

Closure-Density Dependence of the Effective Gravitational Coupling and the Structural Origin of the Hubble Tension

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

Closure-Density Dependence of the Effective Gravitational Coupling and the Structural Origin of the Hubble Tension

article en

Abstract

This paper investigates the density dependence of the effective gravitational constant $G_{eff}$ within the Projective Dynamic Logo (PDL) framework. By analyzing the 18-fold hierarchical amplification of the primary coherence-leakage parameter $\epsilon_G$, the author demonstrates that the gravitational coupling is not a universal constant but a function of the local density of stable closures. Using the surface engagement fraction $\sigma(N)$ derived from the proton’s integer architecture (24, 28, 930, 10087, 11017), the work provides a structural resolution to the Hubble tension, interpreting it as a scale-transition signature between high-density local measurements and low-density cosmological observations.

Zenodo (CERN European Organization for Nuclear Research)
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