(De)Constructing Dimensions and Non-commutative Geometry

TL;DR

This paper explores the (de)construction of dimensions using non-commutative geometry, providing a framework that encompasses models with or without gravity, building on previous work by Arkani-Hamed, Cohen, and Georgi.

Contribution

It introduces a non-commutative geometric approach to analyze (de)constructing dimensions, extending prior models to include gravitational effects.

Findings

Non-commutative geometry offers a natural framework for (de)constructing dimensions.

The model accommodates both gravitational and non-gravitational scenarios.

Enhanced understanding of the geometric structure underlying dimension deconstruction.

Abstract

In this paper the model considered by Arkani-Hamed, Cohen and Georgi in the context of (de)constructing dimensions has been studied by making use of non-commutative geometry. The non-commutative geometry provides a natural framework to study this model with or without gravity.