Space-Time Uncertainty and Noncommutativity in String Theory

TL;DR

This paper explores the concept of space-time nonlocality in string theory, focusing on the space-time uncertainty principle and its relation to noncommutative geometry and field theories with electric B-fields.

Contribution

It introduces a semi-classical reformulation of string quantum mechanics based on noncommutative space-time coordinates and compares it to noncommutative field theories.

Findings

Reformulation of string quantum mechanics with noncommutative coordinates

Comparison between space-time uncertainty and noncommutative field theories

Insights into the nature of space-time nonlocality in string theory

Abstract

We analyze the nature of space-time nonlocality in string theory. After giving a brief overview on the conjecture of the space-time uncertainty principle, a (semi-classical) reformulation of string quantum mechanics, in which the dynamics is represented by the noncommutativity between temporal and spatial coordinates, is outlined. The formalism is then compared to the space-time noncommutative field theories associated with nonzero electric B-fields.