Point-Like Structure in Strings and Non-Commutative Geometry

TL;DR

This paper explores how the dynamics of a free point particle can reduce to string theory and discusses the emergence of higher-dimensional objects in a non-commutative geometric framework.

Contribution

It introduces a model linking point particle dynamics to string theory and proposes the appearance of higher-dimensional objects within this context.

Findings

Point particle dynamics reduce to bosonic string theory under certain limits.

Higher-dimensional objects emerge from the configuration space of the theory.

The framework connects non-commutative geometry with string and brane theories.

Abstract

Dynamics of a free point particle on a multi world-line is presented and shown to reduce to that of a bosonic string theory at the appropriate limit. Other higher dimensional extended objects are argued to appear at other regions of the space of configurations of the theory.