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.

Highlights

  • The deep foundations and real world implications of string theory [1] are still shrouded in mystery

  • We argue the dual part of the matter sector appears as dark matter, which is in turn both sensitive to dark energy [18] and dynamically correlated with the visible matter

  • In this paper we have related the problems of dark energy and dark matter with the hierarchy problem, in the context of a general non-commutative formulation of string theory, wherein dark energy is generated by the dynamical geometry of dual spacetime

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Summary

INTRODUCTION

The deep foundations and real world implications of string theory [1] are still shrouded in mystery. Motivated in part by some prescient work on various aspects of string theory [5, 6, 7, 8], as well as some recent developments in non-commutative field theory [9], double field theory [10], quantum gravity [11] and quantum foundations [12, 13], a generic, non-commutatively generalized geometric phase-space formulation of string theory [14] has been recently developed Within this framework, which clarifies many foundational issues found in the classic textbook discussion of string theory [1], it was recently shown that dark energy is naturally induced from the overall curvature of the dual of the observed spacetime [15]. We present a proposal for a new non-perturbative formulation of string theory, which sheds light on M theory as well as F theory, and illuminates the emergence of supersymmetry and holography

GENERAL STRING THEORY AND DARK ENERGY
DARK SECTOR AND THE HIERARCHY
DARK MATTER AND STRING THEORY
COMMENTS ON PHENOMENOLOGICAL IMPLICATIONS
DARK ENERGY SEESAW AND THE HIERARCHY PROBLEM
A NON-PERTURBATIVE FORMULATION OF STRING THEORY
CONCLUDING REMARKS
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