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- W2120348560 abstract "One of the hardest problems to tackle in the dynamics of canonical approaches to quantum gravity is that of the Hamiltonian constraint. We investigate said problem in the context of formal geometric quantization. We study the implications of the non uniqueness in the choice of the vector field which satisfies the presymplectic equation for the Hamiltonian constraint, and study the implication of the same in the quantization of the theory. Our aim is to show that this non uniqueness in the choice of said vector field, which really stems from refoliation invariance leads to a very ambiguous notion of quantum evolution. We then investigate the case of a theory where the problem of the Hamiltonian constraint has been dealt with at the classical level, namely Shape Dynamics, and attempt to derive a time dependent Schrodinger equation for the quantum dynamics of this theory." @default.
- W2120348560 created "2016-06-24" @default.
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- W2120348560 date "2013-04-17" @default.
- W2120348560 modified "2023-09-27" @default.
- W2120348560 title "On the Geometric Quantization of Canonical Gravity" @default.
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- W2120348560 hasPublicationYear "2013" @default.
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