REMARKS CONCERNING THE GEOMETRIES OF GRAVITY AND GAUGE FIELDS

Details REMARKS CONCERNING THE GEOMETRIES OF GRAVITY AND GAUGE FIELDS REMARKS CONCERNING THE GEOMETRIES OF GRAVITY AND GAUGE FIELDS

1995-03-29

arxiv.org/abs/gr-qc/9503055v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, tex, 1 figure which may be obtained from the author by sending him an e-mail to jeeva@thphys.ox.ac.uk or a snail-mai

Scientific paper

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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