Empirical Detection of a Universal Temporal Inertia Scale from GNSS Satellite and Ground Atomic Clock Time Series

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Abstract

Time is usually treated as a passive parameter in physical theories, yet its possible in trinsic dynamical structure has rarely been tested directly using observational data. Here we analyze long-term atomic clock time series from Global Navigation Satellite Systems (GNSS), including GEO, IGSO, and MEO satellites, together with ground-based GPS common-view (GGTTS) clock comparison data provided by the National Institute of Information and Communications Technology (NICT). Using autocorrelation analysis combined with block shuffle surrogate testing, we find a statistically significant and robust peak in temporal self-correlation at a delay of approximately 30–35 minutes. Remarkably, this characteristic timescale is independent of orbital altitude, gravitational environment, satellite type, and measurement system, and is consistently reproduced in both spaceborne and ground-based clocks. Surrogate tests confirm that the observed peak cannot be explained by random tem poral correlations or preprocessing artifacts. These results provide empirical evidence that physical time retains a finite memory of its immediate past, suggesting the existence of a universal temporal inertia scale.

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