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Knots and gravity

Published online by Cambridge University Press:  17 February 2009

Tze-Chuen Toh
Affiliation:
Department of Theoretical Physics, Research School of Physical Science and Engineering, The Australian National University, Canberra, Australian Capital Territory 0200, Australia.
Malcolm R. Anderson
Affiliation:
School of Engineering and Mathematics, Edith Cowan University, Joondalup Drive, Joondalup, Western Australia 6027, Australia.
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1999

References

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