Quantum Gravity: Mixed States from Diffeomorphism Anomalies

Details Quantum Gravity: Mixed States from Diffeomorphism Anomalies Quantum Gravity: Mixed States from Diffeomorphism Anomalies

2011-09-24

arxiv.org/abs/1109.5290v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 10 figures

Scientific paper

In a previous paper, we discussed simple examples like particle on a circle and molecules to argue that mixed states can arise from anomalous symmetries. This idea was applied to the breakdown (anomaly) of color SU(3) in the presence of non-abelian monopoles. Such mixed states create entropy as well. In this article, we extend these ideas to the topological geons of Friedman and Sorkin in quantum gravity. The "large diffeos" or mapping class groups can become anomalous in their quantum theory as we show. One way to eliminate these anomalies is to use mixed states, thereby creating entropy. These ideas may have something to do with black hole entropy as we speculate.

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