2000/11/30 by Sergei Afanas'ev, S. S. Afanas'ev, Afanas'ev, Sergei
Engineering · Physics and Astronomy · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Material Science and Thermodynamics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0011291
LaTex, 6 pages
openalex publication_date 2000/11/30 · arxiv created 2000/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The concept of the random discretization of the space-time is suggested. It is the way to consistent compatible synthesis of quantum and relativistic principles and principle of geometrization. The basic idea of this concept is physical reality of the finite sizes fundamental element of the quantized space-time. The flat space-time with random discretization is described as the probability measure space with the set of all possible discretizations of the flat continual space-time as the set of points. The probability measure can depend on the geometric parameters of discretizations (a number of regions of a discretization, their volumes, areas etc.). In this concept the fundamental length can be defined as the average value of the linear size of a fundamental element. In this concept the "particle" quantum and the space-time quantum are identical.