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cff-version: 1.2.0
title: 'Global Time Echoes: Empirical Synthesis'
message: If you use this software, please cite it as below.
type: article
authors:
- family-names: Smawfield
given-names: Matthew Lukin
orcid: https://orcid.org/0009-0003-8219-3159
abstract: 'Analysis of 25.3 years of GNSS timing data (2000–2025) reveals a persistent,
distance-structured correlation in global atomic clock networks that tests an empirically
untested assumption of general relativity: the global integrability of proper time.
Seven statistically independent signatures emerge with joint probability p ≈ 2×10⁻²⁷
(>10σ): exponential spatial decay (λ = 4,201 ± 1,967 km), spatial anisotropy (EW/NS
= 2.16), orbital velocity coupling (r = −0.888), CMB frame alignment (18.2° from
dipole, 5,570× variance ratio), planetary event responses, 18.6-year lunar nutation
coupling, and semiannual nutation coupling. Raw RINEX validation achieves consistent
signal detection across all 72 metric combinations, excluding processing artifacts.
These observations match pre-specified expectations of the Temporal Equivalence
Principle, a bi-metric scalar-tensor framework in which proper time is a dynamical
field.
'
license: CC-BY-4.0
version: v0.5 (Singapore)
keywords:
- Temporal Equivalence Principle
- Temporal Shear
- Temporal Topology
- proper time
- conformal metric
- disformal metric
- synchronization holonomy
- clock-sector gravity
- scalar-tensor theory
- GNSS
- atomic clocks
- CMB alignment
- dark matter
- gravitational lensing
- scalar-tensor gravity
repository-code: https://github.com/matthewsmawfield/TEP-GTE
url: https://github.com/matthewsmawfield/TEP-GTE
date-released: 2026-06-05
preferred-citation:
type: article
title: 'Global Time Echoes: Empirical Synthesis'
authors:
- family-names: Smawfield
given-names: Matthew Lukin
orcid: https://orcid.org/0009-0003-8219-3159
year: 2025
journal: Zenodo
url: https://mlsmawfield.com/tep/gte/
doi: 10.5281/zenodo.18004832
notes: Preprint v0.4 (Singapore)