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- W4246392073 abstract "We argue in a model-independent way that the Hilbert space of quantum gravity is locally finite-dimensional. In other words, the density operator describing the state corresponding to a small region of space, when such a notion makes sense, is defined on a finite-dimensional factor of a larger Hilbert space. Because quantum gravity potentially describes superpositions of different geometries, it is crucial that we associate Hilbert-space factors with spatial regions only on individual decohered branches of the universal wave function. We discuss some implications of this claim, including the fact that quantum-field theory cannot be a fundamental description of nature." @default.
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- W4246392073 date "2017-10-10" @default.
- W4246392073 modified "2023-09-27" @default.
- W4246392073 title "The Hilbert space of quantum gravity is locally finite-dimensional" @default.
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- W4246392073 doi "https://doi.org/10.1142/s0218271817170131" @default.
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