
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/
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
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
| 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). | 0 | |
| 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. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
