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. © 1996 The American Physical Society.
Publication Source (Journal or Book title)
Physical Review D - Particles, Fields, Gravitation and Cosmology
Gambini, R., & Pullin, J. (1996). Rigorous solution of the quantum Einstein equations. Physical Review D - Particles, Fields, Gravitation and Cosmology, 54 (10), R5935-R5938. https://doi.org/10.1103/PhysRevD.54.R5935