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A More Sensitive Lorentzian State Sum

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arxiv gr-qc/0301017 v1 pith:JU3QF256 submitted 2003-01-06 gr-qc

Louis Crane , David Yetter This is my paper · ORCID
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keywords quantummodelconstructionlengthslorentziannormalizationstateareas
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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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  1. A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors

    gr-qc 2025-01 conditional novelty 6.0 of 10

    A new state sum model for 4D Lorentzian quantum gravity is constructed from quantum edge vectors and related to the Barrett-Crane spin foam model.

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