The dynamics of binary alternatives for a discrete pregeometry
Abstract
A particular case of a causal set is considered that is a directed dyadic acyclic graph. This is a model of a discrete pregeometry on a microscopic scale. The dynamics is a stochastic sequential growth of the graph. New vertexes of the graph are added one by one. The probability of each step depends on the structure of existed graph. The particular case of dynamics is based on binary alternatives. Each directed path is considered as a sequence of outcomes of binary alternatives. The probabilities of a stochastic sequential growth are functions of these paths. The goal is to describe physical objects as some selforganized structures of the graph. A problem to find selforganized structures is discussed.
 Publication:

arXiv eprints
 Pub Date:
 December 2011
 arXiv:
 arXiv:1201.0005
 Bibcode:
 2012arXiv1201.0005K
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 13 pages, 9 figures, work presented at the "International conference on theoretical physics 2011" held on 2023 June 2011 at the Moscow State Open University, Moscow, Russia