Lattice-based Monte Carlo simulations of causal set quantum gravity on cylinder and torus spacetimes reveal an entropy-to-action phase transition in both 2D and 3D.
Discovering the Discrete Universe
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abstract
This paper presents an brief review of some recent work on the causal set approach to quantum gravity. Causal sets are a discretisation of spacetime that allow the symmetries of GR to be preserved in the continuum approximation. One proposed application of causal sets is to use them as the histories in a quantum sum-over-histories, i.e. to construct a quantum theory of spacetime. It is expected by many that quantum gravity will introduce some kind of "fuzziness", uncertainty and perhaps discreteness into spacetime, and generic effects of this fuzziness are currently being sought. Applied as a model of discrete spacetime, causal sets can be used to construct simple phenomenological models which allow us to understand some of the consequences of this general expectation.
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Dimensionally Restricted Causal Set Quantum Gravity: Examples in Two and Three Dimensions
Lattice-based Monte Carlo simulations of causal set quantum gravity on cylinder and torus spacetimes reveal an entropy-to-action phase transition in both 2D and 3D.