J Austral Math Soc Ser B 41 pp154--160, 1999.

Knots and gravity

Tze-Chuen Toh and Malcom R. Anderson

Abstract

In the loop representation theory of non-perturbative quantum gravity, gravitational states are described by functionals on the loop space of a 3-manifold. In the order to gain a deeper insight into the physical interpretation of loop states, a natural question arises: to wit, how are gravitations related to loops? Some light will be shed on this question by establishing a definite relationship between loops and 3-geometries of the 3-manifold.

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Authors

Tze-Chuen Toh

Department of Theoretical Physics, Research School of Physical Science and Engineering, The Australian National University, Canberra, Australian Capital Territory 0200, Australia.

Malcom R. Anderson

School of Engineering and Mathematics, Edith Cowan University, Joondalup Drive, Joondalup, Western Australia 6027, Australia.