C. Dibartolo et al., KNOT POLYNOMIAL STATES OF QUANTUM-GRAVITY IN TERMS OF LOOPS AND EXTENDED LOOPS - SOME REMARKS, Journal of mathematical physics, 36(11), 1995, pp. 6510-6528
In this paper we review the status of several solutions to all the con
straints of quantum gravity that have been proposed in terms of loops
and extended loops, based on knot polynomials. We discuss pitfalls of
several of the results, and in particular the issues of covariance and
regularization of the constraints in terms of extended loops. We also
propose a formalism for ''thickened out loops,'' which does not face
the covariance problems of extended loops and may allow to regularize
expressions in a consistent manner. (C) 1995 American Institute of Phy
sics.