String Theory Bounds on the Cosmological Constant, the Higgs mass, and the Quark and Lepton Masses

TL;DR

This paper explores how string theory, particularly metastring formulation, offers new insights into the cosmological constant, gauge hierarchy, and particle masses by emphasizing modular spacetime, Born geometry, and quantum contextuality.

Contribution

It introduces a novel framework connecting string theory concepts with fundamental physics problems, moving beyond anthropic explanations.

Findings

String theory bounds relate the cosmological constant to particle masses.

Modular invariance and Born geometry provide new perspectives on hierarchy problems.

Quantum contextuality underpins the proposed theoretical approach.

Abstract

We elaborate on the new understanding of the cosmological constant and the gauge hierarchy problems in the context of string theory in its metastring formulation, based on the concepts of modular spacetime and Born geometry. The interplay of phase space (and Born geometry), the Bekenstein bound, the mixing between ultraviolet (UV) and infrared (IR) physics and modular invariance in string theory is emphasized. This new viewpoint is fundamentally rooted in quantum contextuality and not in statistical observer bias (anthropic principle). We also discuss the extension of this point of view to the problem of masses of quarks and leptons and their respective mixing matrices.