Gravity, Gauges and Clocks

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.

8 pages Plain Tex (No Figures), Classical and Quantum Gravity

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• Solutions for Neutral for Axi-Dilaton Gravity in 4-Dimensions
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Cited by in corpus (10)

• Metric-affine gauge theory of gravity II. Exact solutions
• Dark Matter Gravitational Interactions
• A note on the problem of proper time in Weyl space-time
• Nonmetricity theories and aspects of gauge symmetry
• Non-metric chaotic inflation
• Spacetime metric from local and linear electrodynamics: a new axiomatic scheme
• A novel approach to autoparallels for the theories of symmetric teleparallel gravity
• Weyl covariance, second clock effect and proper time in theories of symmetric teleparallel gravity
• Phenomenological signatures of gauge invariant theories of gravity with vectorial nonmetricity
• Gravitational Plane Waves in a Non-Riemannian Description of Brans-Dicke Gravity