A rigorous solution of the quantum Einstein equations

Details A rigorous solution of the quantum Einstein equations A rigorous solution of the quantum Einstein equations

1995-11-14

arxiv.org/abs/gr-qc/9511042v1

Phys.Rev.D54:5935-5938,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, Revtex, four figures included with epsf

Scientific paper

10.1103/PhysRevD.54.5935

We show that the second coefficient of the Conway knot polynomial is annihilated by the Hamiltonian constraint of canonically quantized general relativity in the loop representation. The calculations are carried out in a fully regularized lattice framework. Crucial to the calculation is the explicit form of the skein relations of the second coefficient, which relate it to the Gauss linking number. Contrary to the lengthy formal continuum calculation, the rigorous lattice version can be summarized in a few pictures.

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