A sequential growth dynamics for a directed acyclic dyadic graph
Abstract
A model of discrete spacetime on a microscopic level is considered. It is a directed acyclic dyadic graph. This is the particular case of a causal set. The goal of this model is to describe particles as some repetitive symmetrical selforganized structures of the graph without any reference to continuous spacetime. The dynamics of the model is considered. This dynamics is stochastic sequential additions of new vertexes. Growth of the graph is a Markovian process. This dynamics is a consequence of a causality principle.
 Publication:

arXiv eprints
 Pub Date:
 December 2011
 arXiv:
 arXiv:1112.1064
 Bibcode:
 2011arXiv1112.1064K
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 21 pages, 5 figures. arXiv admin note: text overlap with arXiv:1106.6269