Scale dependence and the relational properties of mass

Homogeneity is inconsistent with general covariance, yet remains necessary given the practical limitations of solving Einstein's field equations. We resolve this contradiction using a scale-dependent density profile. In this view, empty points have no ontological standing and the geometry of spacetime exists only as an abstract network of physical relationships. Gravitational boundaries are considered to be coordinate artifacts rather than physical partitions. Our solution naturally derives the Hubble constant and the CMB temperature with no adjustable parameters. A single coupling constant $k\approx .833 kg/m^2$ connects the surface area of the horizon(s) to the density distribution. The result is a stable, static and infinite cosmological model capable of explaining a wide range of phenomena.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-05-16
DOI
https://doi.org/10.5281/zenodo.15442490
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
0.00
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article

Scale dependence and the relational properties of mass

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

Scale dependence and the relational properties of mass

article en

Abstract

Homogeneity is inconsistent with general covariance, yet remains necessary given the practical limitations of solving Einstein's field equations. We resolve this contradiction using a scale-dependent density profile. In this view, empty points have no ontological standing and the geometry of spacetime exists only as an abstract network of physical relationships. Gravitational boundaries are considered to be coordinate artifacts rather than physical partitions. Our solution naturally derives the Hubble constant and the CMB temperature with no adjustable parameters. A single coupling constant $k\approx .833 kg/m^2$ connects the surface area of the horizon(s) to the density distribution. The result is a stable, static and infinite cosmological model capable of explaining a wide range of phenomena.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 63%
Cosmology and Gravitation Theories
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