Topological Field Theory As The Key To Quantum Gravity

Details Topological Field Theory As The Key To Quantum Gravity Topological Field Theory As The Key To Quantum Gravity

1993-08-26

arxiv.org/abs/hep-th/9308126v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages to appear in Knots and Quantum Gravity ed John Baez, Oxford University Press Latex document

Scientific paper

Motivated by the similarity between CSW theory and the Chern Simons state for General Relativity in the Ashtekar variables, we explore what the universe would look like if it were in a state corresponding to a 3D TQFT. We end up with a construction of propagating ststes for parts of the universe and a Hilbert space corresponding to a certain approximation. The construction avoids path integrals, using instead recombination diagrams in a certain tensor category.

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