String Theory, the Dark Sector and the Hierarchy Problem

TL;DR

This paper explores a non-commutative string theory framework addressing dark energy, dark matter, and the hierarchy problem, proposing new geometric and duality-based insights with potential phenomenological implications.

Contribution

It introduces a novel non-commutative string theory approach linking dark sectors and hierarchy stability through geometric and duality concepts.

Findings

Dark energy arises from dual spacetime geometry.

Dark matter originates from dual degrees of freedom.

The hierarchy problem is addressed via a stable geometric mean of UV and IR scales.

Abstract

We discuss dark energy, dark matter and the hierarchy problem in the context of a general non-commutative formulation of string theory. In this framework dark energy is generated by the dynamical geometry of the dual spacetime while dark matter, on the other hand, comes from the degrees of freedom dual to the visible matter. This formulation of string theory is sensitive both to the IR and UV scales and the Higgs scale is radiatively stable by being a geometric mean of radiatively stable UV and IR scales. We also comment on various phenomenological signatures of this novel approach to dark energy, dark matter and the hierarchy problem. We find that this new view on the hierarchy problem is realized in a toy model based on a non-holomorphic deformation of the stringy cosmic string. Finally, we discuss a proposal for a new non-perturbative formulation of string theory, which sheds light on M theory and F theory, as well as on supersymmetry and holography.