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REMARKS CONCERNING THE GEOMETRIES OF GRAVITY AND GAUGE FIELDS

Jeeva Anandan
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Abstract

An important limitation is shown in the analogy between the Aharonov-Bohm effect and the parallel transport on a cone. It illustrates a basic difference between gravity and gauge fields due to the existence of the solder form for the space-time geometry. This difference is further shown by the observability of the gravitational phase for open paths. This reinforces a previous suggestion that the fundamental variables for quantizing the gravitational field are the solder form and the connection, and not the metric.

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Jeeva Anandan. 1995-03-29. REMARKS CONCERNING THE GEOMETRIES OF GRAVITY AND GAUGE FIELDS. https://arxiv.org/abs/gr-qc/9503055

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