Knot theory and quantum gravity

Details Knot theory and quantum gravity Knot theory and quantum gravity

Sep 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvl..61.1155r&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 61, Sept. 5, 1988, p. 1155-1158.

Mathematics

245

Canonical Forms, Gravitation, Manifolds (Mathematics), Quantum Theory

Scientific paper

A new representation for quantum general relativity is described, which is defined in terms of functionals of sets of loops in three-space. In this representation, exact solutions of the quantum constraints may be obtained. This result is related to the simplification of the constraints in the new formalism of Ashtekar (1986). A closed-form general solution is given for the diffeomorphism constraints, and a large class of solutions is given for the full set of constraints. These are classified by the knot and link classes of the spatial three-manifold.

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