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Conserved Quantities in Background Independent Theories

Fotini Markopoulou
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Abstract

We discuss the difficulties that background independent theories based on quantum geometry encounter in deriving general relativity as the low energy limit. We follow a geometrogenesis scenario of a phase transition from a pre-geometric theory to a geometric phase which suggests that a first step towards the low energy limit is searching for the effective collective excitations that will characterize it. Using the correspondence between the pre-geometric background independent theory and a quantum information processor, we are able to use the method of noiseless subsystems to extract such coherent collective excitations. We illustrate this in the case of locally evolving graphs.

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Fotini Markopoulou. 2007-03-05. Conserved Quantities in Background Independent Theories. https://doi.org/10.1088/1742-6596%2F67%2F1%2F012019

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