On the Space-Time Uncertainty Relations of Liouville Strings and D Branes

TL;DR

This paper explores space-time uncertainty relations in Liouville string theory, proposing a non-trivial commutation relation between space and time that implies a fundamental limit on simultaneous measurements, which diminishes at weak coupling.

Contribution

It introduces a novel non-trivial commutation relation between space and time in Liouville string theory, linking it to a space-time uncertainty principle.

Findings

Space-time uncertainty relation $ ext{delta} x ext{delta} t > 0$ established.

Uncertainty vanishes as string coupling weakens.

Proposes a non-trivial commutation relation between space and time observables.

Abstract

Within a Liouville approach to non-critical string theory, we argue for a non-trivial commutation relation between space and time observables, leading to a non-zero space-time uncertainty relation $\delta x \delta t > 0$, which vanishes in the limit of weak string coupling.