2011/05/11 by Alexey L. Krugly, Krugly, Alexey L.
Computer Science · Engineering · Physics and Astronomy · #Computability, Logic, AI Algorithms #Control and Stability of Dynamical Systems #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.1106.6269
openalex publication_date 2011/05/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
One of approaches to quantum gravity is different models of a discrete pregeometry. An example of a discrete pregeometry on a microscopic scale is introduced. This is the particular case of a causal set. The causal set is a locally finite partially ordered set. The dynamics of this model is a stochastic sequential growth dynamics. New elements of causal set are added one by one. The probability of this addition of a new element depends on the structure of existed causal set. The particular case of the dynamics is considered. This 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 have quadratic dependence on these paths.