Can we predict $\Lambda$ for the Non-SUSY sector of the Landscape ?

TL;DR

This paper introduces a quantum cosmology-based selection criterion to predict the most probable vacuum states in the string landscape, focusing on the non-SUSY sector and revealing a tendency towards universes with zero cosmological constant.

Contribution

It extends a previous quantum cosmology selection method to the non-SUSY sector, demonstrating a localization phenomenon and a preference for zero cosmological constant in this sector.

Findings

Most probable wavefunction peaks at zero cosmological constant

Non-SUSY sector wavefunctions show Anderson localization

Dynamical quantum selection rule for vacua in the landscape

Abstract

We propose a new selection criteria for predicting the most probable wavefunction of the universe that propagates on the string landscape background, by studying its dynamics from a quantum cosmology view. Previously we applied this proposal to the $SUSY$ sector of the landscape. In this work the dynamic selection criterion is applied to the investigation of the non-$SUSY$ sector.In the absence of detailed information about its structure, it is assumed that this sector has a stochastic distribution of vacua energies.The calculation of a distribution probability for the cosmological constants $\Lambda_{eff}$, obtained from the density of states $\rho$, indicates that the most probable wavefunction is peaked around universes with zero $\Lambda_{eff}$. In contrast to the {\it extended wavefunction} solutions found for the $SUSY$ sector with $N$-vacua and peaked around $\Lambda_{eff}\simeq \frac{1}{N^2}$, wavefunctions residing on the non-$SUSY$ sector exhibit {\it Anderson localization}.Although minisuperspace is a limited approach it presently provides a dynamical quantum selection rule for the most probable vacua solution from the landscape.