Stabilisation of Seven Directions in an Early Universe M -- theory Model

TL;DR

This paper presents a string theory model with intersecting branes that results in three expanding spatial dimensions and seven stabilized ones, providing insights into early universe stabilization mechanisms.

Contribution

It introduces a novel M theory model with intersecting branes that naturally stabilizes seven spatial directions and the dilaton, aligning with observed universe properties.

Findings

Three spatial directions expand while seven stabilize.

The model achieves M_{11}   M_s   M_4 and g_s  1.

Stabilization depends on initial value imbalances.

Abstract

Our model consists of intersecting 22'55' branes in M theory distributed uniformly in the common transverse space. Equations of state follow from U duality symmetries. In this model, three spatial directions expand, and seven directions stabilise to constant sizes. From string theory perspective, the dilaton is hence stabilised. The constant sizes depend on certain imbalance among initial values. One naturally obtains M_{11} \simeq M_s \simeq M_4 and g_s \simeq 1 within a few orders of magnitude. Smaller numbers, for example M_s \simeq 10^{- 16} M_4, are also possible but require fine tuning.