A More Sensitive Lorentzian State Sum

Details A More Sensitive Lorentzian State Sum A More Sensitive Lorentzian State Sum

2003-01-06

arxiv.org/abs/gr-qc/0301017v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages latex

Scientific paper

We give the construction modulo normalization of a new state sum model for lorentzian quantum general relativity, using the construction of Dirac's expansors to include quantum operators corresponding to edge lengths as well as the quantum bivectors of the Barrett-Crane model, and discuss the problem of its normalization. The new model gives rise to a new picture of quantum geometry in which lengths come in a discrete spectrum, while areas have a continuum of values.

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