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arXiv · hep-th/0010159

Nonassociative geometry: Towards discrete structure of spacetime

Alexander I. Nesterov·L. V. Sabinin
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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.

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Alexander I. Nesterov, L. V. Sabinin. 2001-07-04. Nonassociative geometry: Towards discrete structure of spacetime. https://doi.org/10.1103/physrevd.62.081501

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