Discrete Quantum Gravity

Abstract

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.

19 pages which includes 3 figures created in LaTeX

References in corpus (4)

• The causal set approach to quantum gravity
• Directions in Causal Set Quantum Gravity
• Spacetime topology from causality
• Discrete Quantum Processes

Cited by in corpus (9)

• A Dynamics for Discrete Quantum Gravity
• An Einstein equation for discrete quantum gravity
• An Approach to Discrete Quantum Gravity
• A Matter of Matter and Antimatter
• The Causal Poset is Directed but not Lattice Ordered
• Discrete Quantum Gravity Is Not Isometric
• Labeled Causets in Discrete Quantum Gravity
• Underpinning the universe: its scales, holography and fractality
• Causal set approach to discrete quantum gravity