Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-09-12
J.Math.Phys. 39 (1998) 3296-3302
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, amstex, some errors corrected, more references
Scientific paper
10.1063/1.532254
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.
Barrett John W.
Crane Louis
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