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 self-organized structures of the graph. A problem to find self-organized structures is discussed.

13 pages, 9 figures, work presented at the "International conference on theoretical physics 2011" held on 20-23 June 2011 at the Moscow State Open University, Moscow, Russia

References in corpus (7)

• A Classical Sequential Growth Dynamics for Causal Sets
• The causal set approach to quantum gravity
• Causal Sets: Discrete Gravity (Notes for the Valdivia Summer School)
• Discrete mechanics: a sequential growth dynamics for causal sets, and a self-organization of particles
• Discrete mechanics: a kinematics for a particular case of causal sets
• Discrete mechanics: a sequential growth dynamics for causal sets that is based on binary alternatives
• Quantum Theory of Ur Objects and General Relativity