GPS test of the local position invariance of Planck's constant

TL;DR

This study uses GPS and terrestrial clock data to test the local position invariance of Planck's constant, confirming its invariance within a specific limit and supporting general relativity.

Contribution

It provides a novel test of Planck's constant's invariance using publicly available GPS data combined with clock comparison experiments.

Findings

Planck's constant is invariant within |beta_h|<0.007

Supports the validity of local position invariance in general relativity

Provides constraints on possible LPI violations of fundamental constants

Abstract

Publicly available clock correction data from the Global Positioning System was analyzed and used in combination with the results of terrestrial clock comparison experiments to confirm the local position invariance (LPI) of Planck's constant within the context of general relativity. The results indicate that h is invariant within a limit of |beta_h|<0.007, where beta_h is a dimensionless parameter that represents the extent of LPI violation.