Authors

S. Gudder

Publication Date

2011

Document Type

Article

Keywords

Discrete quantum gravity, Classical sequential growth process

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.

Comments

The final version of this article published in Reports on Mathematical Physics is available online at: https://doi.org/10.1016/S0034-4877(13)60010-5



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