Gravity-as-Dilatation-Response-Parameter-Free-Recovery-of-g.

A closed four-page chain in which the free-fall acceleration of the Earth is reproduced from Earth mass and Earth radius with no free parameter, gravity being the dilatation response of a phase-rigid time field. Because the recovery coincides with the Newtonian value, the distinguishing content is stated as dated, pre-registered edges: (1) a second-post-Newtonian light-deflection coefficient 4π = 12.56 instead of the general-relativistic 15π/4 = 11.78, a difference of approximately 0.7 microarcseconds at the solar limb; (2) an Eötvös edge at |Δg/g| > 10⁻¹⁵; (3) any measured variation of G must be dynamically uncorrelated with the band dynamics of the electromagnetic coupling. Every step is stated so that it can be checked, or refuted, in an afternoon. Preprint, not peer reviewed.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-06
DOI
https://doi.org/10.5281/zenodo.24007628
Primary Topic
Relativity and Gravitational Theory
Type
article
Field-Weighted Citation Impact
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article

Gravity-as-Dilatation-Response-Parameter-Free-Recovery-of-g.

Heiko Guttenberg
3 links
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
article

Gravity-as-Dilatation-Response-Parameter-Free-Recovery-of-g.

Heiko Guttenberg
article en

Abstract

A closed four-page chain in which the free-fall acceleration of the Earth is reproduced from Earth mass and Earth radius with no free parameter, gravity being the dilatation response of a phase-rigid time field. Because the recovery coincides with the Newtonian value, the distinguishing content is stated as dated, pre-registered edges: (1) a second-post-Newtonian light-deflection coefficient 4π = 12.56 instead of the general-relativistic 15π/4 = 11.78, a difference of approximately 0.7 microarcseconds at the solar limb; (2) an Eötvös edge at |Δg/g| > 10⁻¹⁵; (3) any measured variation of G must be dynamically uncorrelated with the band dynamics of the electromagnetic coupling. Every step is stated so that it can be checked, or refuted, in an afternoon. Preprint, not peer reviewed.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 26%
Relativity and Gravitational Theory
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