On a possible quantum limit for the stabilization of moduli in brane-world scenarios

TL;DR

This paper explores how a fundamental quantum limit on length uncertainties could significantly impact the phenomenology of brane-world models, suggesting a potential quantum constraint on moduli stabilization.

Contribution

It introduces the idea that quantum length uncertainty limits may impose constraints on brane-world scenarios, affecting their phenomenological viability.

Findings

Quantum limits on length scales could influence bulk geometry in brane-world models.

The quantum uncertainty may pose challenges to moduli stabilization.

Implications for phenomenology could be substantial, requiring reconsideration of model assumptions.

Abstract

I consider the implications for brane-world scenarios of the rather robust quantum-gravity expectation that there should be a quantum minimum limit on the uncertainty of all physical length scales. In order to illustrate the possible significance of this issue, I observe that, according to a plausible estimate, the quantum limit on the length scales that characterize the bulk geometry could affect severely the phenomenology of a recently-proposed brane-world scenario.