On the Minimal Length Uncertainty Relation and the Foundations of String Theory

TL;DR

This paper reviews the minimal length uncertainty relation inspired by string theory, exploring its phenomenological implications and the potential for a dynamical energy-momentum space, impacting vacuum energy and non-perturbative string theory foundations.

Contribution

It introduces the concept of a dynamical energy-momentum space arising from quantum and gravitational principles, extending the minimal length uncertainty relation.

Findings

Minimal length uncertainty relation has observable phenomenological effects.

Quantum and general relativity principles suggest a dynamical energy-momentum space.

Implications for vacuum energy and non-perturbative string theory are discussed.

Abstract

We review our work on the minimal length uncertainty relation as suggested by perturbative string theory. We discuss simple phenomenological implications of the minimal length uncertainty relation and then argue that the combination of the principles of quantum theory and general relativity allow for a dynamical energy-momentum space. We discuss the implication of this for the problem of vacuum energy and the foundations of non-perturbative string theory.