The general solution of the quantum Einstein equations?

Abstract

We suggest how to interpret the action of the quantum Hamiltonian constraint of general relativity in the loop representation as a skein relation on the space of knots. Therefore, by considering knot polynomials that are compatible with that skein relation, one guarantees that all the quantum Einstein equations are solved. We give a particular example of such invariant and discuss the consistency of the constraint algebra in this approach.

3 pages, Revtex, 7 figures included with psfig

References in corpus (2)

• Variational derivation of exact skein relations from Chern--Simons theories
• Is the third coefficient of the Jones knot polynomial a quantum state of gravity?

Cited by in corpus (6)

• Matrix Elements of Thiemann's Hamiltonian Constraint in Loop Quantum Gravity
• Diffeomorphism invariant Quantum Field Theories of Connections in terms of webs
• Lattice knot theory and quantum gravity in the loop representation
• Bibliography of publications related to Classical and Quantum Gravity in terms of Connection and Loop Variables
• Fermion mass gap in the loop representation of quantum gravity
• Canonical quantum gravity with new variables and loops: a report