Discrete Quantum Gravity

Details Discrete Quantum Gravity Discrete Quantum Gravity

2011-08-10

arxiv.org/abs/1108.2296v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages which includes 3 figures created in LaTeX

Scientific paper

We discuss the causal set approach to discrete quantum gravity. We begin by describing a classical sequential growth process in which the universe grows one element at a time in discrete steps. At each step the process has the form of a causal set and the "completed" universe is given by a path through a discretely growing chain of causal sets. We then introduce a method for quantizing this classical formalism to obtain a quantum sequential growth process which may lead to a viable model for a discrete quantum gravity. We also give a method for quantizing random variables in the classical process to obtain observables in the corresponding quantum process. The paper closes by showing that a discrete isometric process can be employed to construct a quantum sequential growth process.

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