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- W3105156355 abstract "A discrete model of Lorentzian quantum gravity is proposed. The theory is completely background free, containing no reference to absolute space, time, or simultaneity. The states at one slice of time are networks in which each vertex is labelled with two arrows, which point along an adjacent edge, or to the vertex itself. The dynamics is specified by a set of unitary replacement rules, which causally propagate the local degrees of freedom. The inner product between any two states is given by a sum over histories. Assuming it converges (or can be Abel resummed), this inner product is proven to be Hermitian and fully gauge-degenerate under spacetime diffeomorphisms. At least for states with a finite past, the inner product is also positive. This allows a Hilbert space of physical states to be constructed." @default.
- W3105156355 created "2020-11-23" @default.
- W3105156355 creator A5049240525 @default.
- W3105156355 date "2013-04-25" @default.
- W3105156355 modified "2023-09-27" @default.
- W3105156355 title "A discrete, unitary, causal theory of quantum gravity" @default.
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- W3105156355 doi "https://doi.org/10.1088/0264-9381/30/11/115002" @default.
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