A Scalar--Tensor Field Theory Based on a Cosmic Background Field

We propose that there exists a cosmic background field in four-dimensional spacetime, which takes scalar form within a selected class of coordinate charts. From this axiom we construct a scalar model, the model reproduces local special-relativistic kinematics and yields Newton's law of gravity from a single-body response : rest energy is the coupling energy of a particle to the background field, and the inertial scale is anchored to the cosmic background field. The speed of light is derived once electromagnetism is added, rather than entering as a postulate. We then upgrade the model to a scalar--tensor theory. The physical channel of the numerical scale of the speed of light is established; its mechanism layer (the denomination problem) is attributed to the cosmological initial-value problem.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-27
DOI
https://doi.org/10.5281/zenodo.23681590
Primary Topic
Relativity and Gravitational Theory
Type
preprint
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preprint

A Scalar--Tensor Field Theory Based on a Cosmic Background Field

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

A Scalar--Tensor Field Theory Based on a Cosmic Background Field

Youping Dai
preprint en

Abstract

We propose that there exists a cosmic background field in four-dimensional spacetime, which takes scalar form within a selected class of coordinate charts. From this axiom we construct a scalar model, the model reproduces local special-relativistic kinematics and yields Newton's law of gravity from a single-body response : rest energy is the coupling energy of a particle to the background field, and the inertial scale is anchored to the cosmic background field. The speed of light is derived once electromagnetism is added, rather than entering as a postulate. We then upgrade the model to a scalar--tensor theory. The physical channel of the numerical scale of the speed of light is established; its mechanism layer (the denomination problem) is attributed to the cosmological initial-value problem.

Zenodo (CERN European Organization for Nuclear Research)
Chinese University of Hong Kong, Shenzhen (CN)
Relativity and Gravitational Theory
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