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Derivation of Hamilton-like equations on a non-Cauchy hypersurface and their expected connection to quantum gravity theories by Hadad, Merav; Rosenblum, Levy is a scholarly article available to read on EtoBox.

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Recently it was found that quantum gravity theories may involve constructing a quantum theory on non-Cauchy hypersurfaces. However this is problematic since the ordinary Poisson brackets are not causal in this case. We suggest a method to identify classical brackets that are causal on 2+1 non-Cauchy hypersurfaces and use it in order to show that the evolution of scalars and vectors fields in the 3rd spatial direction can be constructed by using a Hamilton-like procedure. Finally, we discuss the relevance of this result to quantum gravity.

Author

Hadad, Merav; Rosenblum, Levy

Published

2019

Language

EN