Nonassociative geometry: Towards discrete structure of spacetime
High Energy Physics - Theory
2013-01-15 v2 General Relativity and Quantum Cosmology
Mathematical Physics
Differential Geometry
math.MP
Abstract
In the framework of nonassociative geometry (hep-th/0003238) a unified description of continuum and discrete spacetime is proposed. In our approach at the Planck scales the spacetime is described as a so-called "diodular discrete structure" which at large spacetime scales `looks like' a differentiable manifold. After a brief review of foundations of nonassociative geometry,we discuss the nonassociative smooth and discrete de Sitter spacetimes.
Keywords
Cite
@article{arxiv.hep-th/0010159,
title = {Nonassociative geometry: Towards discrete structure of spacetime},
author = {Alexander I. Nesterov and L. V. Sabinin},
journal= {arXiv preprint arXiv:hep-th/0010159},
year = {2013}
}
Comments
RevTex file, 5 pages, typos corrected