VALUES OF GRAVITY, SPEED OF LIGHT AND TIME

This article examines the mathematical relationships among gravity, the speed of light, and time, using established physical equations and a proposed interdisciplinary research framework. It presents gravitational quantities associated with planetary bodies, explores the factor (\alpha=\sqrt{1-\frac{2GM}{Rc^2}}), and defines the derived quantity (c_M=c\alpha) to investigate mathematical relationships between mass, gravitational conditions, and temporal measurement. The study distinguishes the locally measured speed of light in a vacuum, (c=299,792,458\ \text{m/s}), from the derived quantity (c_M), which is a mathematical expression and does not assert that the locally measured speed of light changes. It also examines the relationship (d\tau=dt\alpha), the applicability and limitations of gravitational formulations, and the consistency of the numerical values used in the calculations. The article extends the investigation to mathematical representations of atomic configurations, gravitational interactions, orbital motion, equilibrium, and large-scale cosmic structures. Within this framework, it presents a combinatorial model based on five designated elements, yielding 31 nonempty subsets, and discusses transitions between configurations through set operations and the concept of transduction. The work distinguishes established physical relations, calculated numerical results, mathematical models, and hypotheses requiring further investigation. Its purpose is to organize a unified line of inquiry into gravity, light, and time while making explicit the mathematical definitions, assumptions, and limits relevant to the interpretation of its results. Keywords: gravity; speed of light; time; gravitational potential; mathematical modeling; planetary physics; atomic configurations; transduction; cosmological structures; interdisciplinary research.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-08
DOI
https://doi.org/10.5281/zenodo.23246589
Primary Topic
Relativity and Gravitational Theory
Type
preprint
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preprint

VALUES OF GRAVITY, SPEED OF LIGHT AND TIME

Cláudio Vicente da Silva
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
preprint

VALUES OF GRAVITY, SPEED OF LIGHT AND TIME

Cláudio Vicente da Silva
preprint en

Abstract

This article examines the mathematical relationships among gravity, the speed of light, and time, using established physical equations and a proposed interdisciplinary research framework. It presents gravitational quantities associated with planetary bodies, explores the factor (\alpha=\sqrt{1-\frac{2GM}{Rc^2}}), and defines the derived quantity (c_M=c\alpha) to investigate mathematical relationships between mass, gravitational conditions, and temporal measurement. The study distinguishes the locally measured speed of light in a vacuum, (c=299,792,458\ \text{m/s}), from the derived quantity (c_M), which is a mathematical expression and does not assert that the locally measured speed of light changes. It also examines the relationship (d\tau=dt\alpha), the applicability and limitations of gravitational formulations, and the consistency of the numerical values used in the calculations. The article extends the investigation to mathematical representations of atomic configurations, gravitational interactions, orbital motion, equilibrium, and large-scale cosmic structures. Within this framework, it presents a combinatorial model based on five designated elements, yielding 31 nonempty subsets, and discusses transitions between configurations through set operations and the concept of transduction. The work distinguishes established physical relations, calculated numerical results, mathematical models, and hypotheses requiring further investigation. Its purpose is to organize a unified line of inquiry into gravity, light, and time while making explicit the mathematical definitions, assumptions, and limits relevant to the interpretation of its results. Keywords: gravity; speed of light; time; gravitational potential; mathematical modeling; planetary physics; atomic configurations; transduction; cosmological structures; interdisciplinary research.

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
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