Disordered locality in loop quantum gravity states
arXiv:gr-qc/0702044 · doi:10.1088/0264-9381/24/15/003
Abstract
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.
11 pages, 4 figures, revision with extended discussion of results
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