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arXiv · gr-qc/9510045

Gravity, Gauges and Clocks

Pierre Teyssandier·Robin W Tucker
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Abstract

We discuss the definitions of standard clocks in theories of gravitation. These definitions are motivated by the invariance of actions under different gauge symmetries. We contrast the definition of a standard Weyl clock with that of a clock in general relativity and argue that the historical criticisms of theories based on non-metric compatible connections by Einstein, Pauli and others must be considered in the context of Weyl's original gauge symmetry. We argue that standard Einsteinian clocks can be defined in non-Riemannian theories of gravitation by adopting the Weyl group as a local gauge symmetry that {\it preserves the metric} and discuss the hypothesis that atomic clocks may be adopted to measure proper time in the presence of non-Riemannian gravitational fields. These ideas are illustrated in terms of a recently developed model of gravitation based on a non-Riemannian space-time geometry.

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Pierre Teyssandier, Robin W Tucker. 1995-10-23. Gravity, Gauges and Clocks. https://doi.org/10.1088/0264-9381%2F13%2F1%2F013

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