TITLE:
Stochastic Model of Evolution of Universe
AUTHORS:
Malkhaz Mumladze
KEYWORDS:
Entropy, Random Process, Cobordant Manifolds, Universe
JOURNAL NAME:
Open Access Library Journal,
Vol.12 No.11,
November
25,
2025
ABSTRACT: In the paper, on the basis of the notion of entropy of topological spaces, constructed quantum model of evolution of the Universe. In the class of cobordant Riemannian manifolds we built the discrete random process whose probability space in discrete time moment
n
contains cobordant Riemannian manifolds with entropy less than
n
. Realizations of this random process are sequences of cobordant Riemannian manifolds. In this work, the entropy of realization (trajectory) of a random process is defined. This made it possible to construct a model of the evolution of the Universe as a quantum system.