Large scale-small scale duality and cosmological constant

TL;DR

This paper explores a quantum cosmology model with dual classical solutions at different scales, demonstrating how fine-tuning can lead to an infinitesimal cosmological constant.

Contribution

It introduces a dual classical signature changing solutions framework in quantum cosmology, linking large and small scale behaviors with fine-tuning of the cosmological constant.

Findings

Existence of dual classical solutions at different scales

Fine-tuning allows for an infinitesimal cosmological constant

Signature transition occurs in the model

Abstract

We study a model of quantum cosmology originating from a classical model of gravitation where a self interacting scalar field is coupled to gravity with the metric undergoing a signature transition. We show that there are dual classical signature changing solutions, one at large scales and the other at small scales. It is possible to fine-tune the physics in both scales with an infinitesimal effective cosmological constant.