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Conformally invariant proper time with general non-metricity
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Conformally invariant proper time with general non-metricity
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We show that the definition of proper time for Weyl-invariant space-times given by Perlick naturally extends to spaces with arbitrary non-metricity. We then discuss the relation between this generalized proper time and the Ehlers-Pirani-Schild definition of time when there is arbitrary non-metricity. Then we show how this generalized proper time suffers from a second clock effect. Assuming that muons are a device to measure this proper time, we constrain the non-metricity tensor on Earth's surface and then elaborate on the feasibility of such assumption.
Forward citations
Cited by 2 Pith papers
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World-Line Actions in Weyl Geometry
A dimensionless Weyl-invariant additive world-line action exists for time-like particles in Weyl geometry, but proper time cannot be defined until scale symmetry breaks.
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Light propagation and intensity transport in metric-affine geometry
Electromagnetic sectors built from projectively invariant torsion and non-metricity can modify light cones, intensity transport, and polarization structure in geometric optics.
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