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Preprint . 2025
License: CC BY
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ZENODO
Preprint . 2025
License: CC BY
Data sources: ZENODO
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Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
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Temporal Equivalence Principle: Dynamic Time & Emergent Light Speed

Authors: Smawfield, Matthew Lukin;

Temporal Equivalence Principle: Dynamic Time & Emergent Light Speed

Abstract

The Temporal Equivalence Principle (TEP) proposes a covariant reformulation of relativity in which proper time is a dynamical field and the speed of light is an emergent, strictly local invariant rather than a global constant. The framework employs two metrics on a single spacetime manifold—a gravitational metric and a causal (matter) metric—related by a conformal–disformal map. This preserves local Lorentz invariance while predicting synchronization holonomy, a path-dependent timing offset absent in general relativity. The preprint develops the full action, field equations, conservation laws, Parametrized Post-Newtonian (PPN) mapping, and screening mechanisms, and outlines multiple falsifiable tests using optical clock networks, portable and interplanetary time transfer, and multi-messenger observations. Preliminary analysis of 62.7 million GNSS atomic clock measurements identifies distance-structured correlations (λ = 3,330–4,549 km) within the predicted range and apparent coupling to Earth's orbital motion and planetary gravitational influences. These findings require independent validation and peer review. See the companion experimental analysis: DOI: 10.5281/zenodo.17127229. Website: https://matthewsmawfield.github.io/TEP/

Keywords

theoretical physics, relativity, time field, vsl, temporal equivalence principle, two-metric, scalar field, redshift drift, one-way light-time, metrology, TEP, dynamic time, optical clocks, physics, light speed

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green