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arXiv · gr-qc/9709028

Relativistic spin networks and quantum gravity

John W. Barrett·Louis Crane
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Abstract

Relativistic spin networks are defined by considering the spin covering of the group SO(4), SU(2) times SU(2). Relativistic quantum spins are related to the geometry of the 2-dimensional faces of a 4-simplex. This extends the idea of Ponzano and Regge that SU(2) spins are related to the geometry of the edges of a 3-simplex. This leads us to suggest that there may be a 4-dimensional state sum model for quantum gravity based on relativistic spin networks which parallels the construction of 3-dimensional quantum gravity from ordinary spin networks.

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John W. Barrett, Louis Crane. 1998-01-23. Relativistic spin networks and quantum gravity. https://doi.org/10.1063/1.532254

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