Nonassociative geometry: Friedmann-Robertson-Walker spacetime

TL;DR

This paper extends nonassociative geometry to describe Friedmann-Robertson-Walker spacetime, unifying continuous and discrete models within a nonassociative framework, building on prior work on de Sitter models.

Contribution

It provides a novel nonassociative geometric description of Friedmann-Robertson-Walker spacetime, expanding the unified approach to include this fundamental cosmological model.

Findings

Nonassociative FRW spacetime model developed

Unified description of continuous and discrete spacetime

Extension of previous de Sitter models

Abstract

In (Phys. Rev. D 62, 081501, 2000) we proposed a unified approach to description of continuous and discrete spacetime based on nonassociative geometry and described nonassociative smooth and discrete de Sitter models. In our paper we give the description of nonassociative Friedmann-Robertson-Walker spacetime.