Verification of the Saturation Scale E_max from GPS Time-Dilation Data

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Authors: Alexander Sjöberg
Cited by: 0

Abstract

Do we see a conncetion between Gravity and QM in this paper? You decide, this is exciting reading: Here we present an empirical consistency analysis of the universal saturation scale Emax⁡ proposed within the Saturation Gravity (SG) framework. Gravitational time-dilation measurements from ten independent GPS satellite orbits are used as weak-field relativistic probes. From these observational inputs, an effective value of Emax is inferred without introducing fitting parameters or adjustable model choices. All quantities entering the analysis are fixed by established physical constants and publicly available GPS timing data. The independently derived values of Emax⁡ exhibit a high degree of internal stability across different satellite orbits. The resulting average value is found to be numerically coincident, to four significant figures, with the Schwinger critical electric field from quantum electrodynamics. As a further internal consistency check, the gravitational constant G is independently inferred by eliminating Emax⁡ in favour of the Schwinger scale, using only GPS time-dilation data and established constants. The GPS-derived value of G agrees with the laboratory value within the expected precision of the method, which is limited primarily by geopotential uncertainties. These results are presented as numerical and empirical consistency relations rather than as experimental proofs or claims of modified gravity. The analysis is fully reproducible and intended to invite independent verification and critical assessment.

Fields of Study & Subjects

Relativity and Gravitational Theory Noncommutative and Quantum Gravity Theories Quantum Electrodynamics and Casimir Effect

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
27 January 2026
Document type
Preprint