Models for Discrete Quantum Gravity
arXiv:1108.6036 · doi:10.1016/S0034-4877(13)60010-5
Abstract
We first discuss a framework for discrete quantum processes (DQP). It is shown that the set of q-probability operators is convex and its set of extreme elements is found. The property of consistency for a DQP is studied and the quadratic algebra of suitable sets is introduced. A classical sequential growth process is "quantized" to obtain a model for discrete quantum gravity called a quantum sequential growth process (QSGP). Two methods for constructing concrete examples of QSGP are provided.
15 pages which include 2 figures which were created using LaTeX and contained in the file