Experimental constraints on the second clock effect

TL;DR

This paper uses experimental data from CERN on muon lifetimes to set constraints on the second clock effect predicted by Weyl unified field theory, employing Perlick's invariant proper time in Weyl spacetime.

Contribution

It provides the first observational constraints on the second clock effect within Weyl theory using high-precision muon lifetime measurements.

Findings

No evidence of the second clock effect was observed.

Constraints tighten the parameter space for Weyl unified field theory.

The analysis demonstrates the applicability of Perlick's invariant proper time in experimental tests.

Abstract

We set observational constraints on the second clock effect, predicted by Weyl unified field theory, by investigating recent data on the dilated lifetime of muons accelerated by a magnetic field. These data were obtained in an experiment carried out in CERN aiming at measuring the anomalous magnetic moment of the muon. In our analysis we employ the definition of invariant proper time proposed by V. Perlick, which seems to be the appropriate notion to be worked out in the context of Weyl space-time.