Disordered locality in loop quantum gravity states

Details Disordered locality in loop quantum gravity states Disordered locality in loop quantum gravity states

2007-02-07

arxiv.org/abs/gr-qc/0702044v2

Class.Quant.Grav.24:3813-3824,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 4 figures, revision with extended discussion of results

Scientific paper

10.1088/0264-9381/24/15/003

We show that loop quantum gravity suffers from a potential problem with non-locality, coming from a mismatch between micro-locality, as defined by the combinatorial structures of their microscopic states, and macro-locality, defined by the metric which emerges from the low energy limit. As a result, the low energy limit may suffer from a disordered locality characterized by identifications of far away points. We argue that if such defects in locality are rare enough they will be difficult to detect.

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