Quantum geometry with intrinsic local causality

Details Quantum geometry with intrinsic local causality Quantum geometry with intrinsic local causality

1997-12-16

arxiv.org/abs/gr-qc/9712067v1

Phys.Rev. D58 (1998) 084032

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex 33 pages, 7 Figure, epsfig

Scientific paper

10.1103/PhysRevD.58.084032

The space of states and operators for a large class of background independent theories of quantum spacetime dynamics is defined. The SU(2) spin networks of quantum general relativity are replaced by labelled compact two-dimensional surfaces. The space of states of the theory is the direct sum of the spaces of invariant tensors of a quantum group G_q over all compact (finite genus) oriented 2-surfaces. The dynamics is background independent and locally causal. The dynamics constructs histories with discrete features of spacetime geometry such as causal structure and multifingered time. For SU(2) the theory satisfies the Bekenstein bound and the holographic hypothesis is recast in this formalism.

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