Gravity, Nonintegrable Phase Factor and Motion Associated with a Closed Curve

Abstract

The experimental verification of the Aharonov-Bohm proposal suggests that electro­ magnetism can be accounted for in terms of the nonintegrable phase factor. There is, how­ ever, no gravitational analog of such an experiment. In view of the present experimental tests of various gravity theories, we find that gravity can be explained not only by Einstein's General Relativity (1916) in terms of the curvature alone, but also by his New General Relativity (1928) in terms of the torsion alone. For gravity, the concept of motion associated with a closed curve seems much more important than that of the nonintegrable phase factor.