Broadening quantum cosmology with a fractional whirl

TL;DR

This paper introduces fractional quantum mechanics into cosmology, presenting a new solution for a flat universe with stiff matter that highlights differences from standard quantum cosmology.

Contribution

It develops a fractional quantum cosmology model and provides a novel solution contrasting with traditional approaches.

Findings

New fractional quantum cosmological solution for flat universe

Explicit implications of fractional calculus in quantum cosmology

Differences highlighted compared to standard quantum cosmology

Abstract

We start by presenting a brief summary of fractional quantum mechanics, as means to convey a motivation towards fractional quantum cosmology. Subsequently, such application is made concrete with the assistance of a case study. Specifically, we investigate and then discuss a model of stiff matter in a spatially flat homogeneous and isotropic universe. A new quantum cosmological solution, where fractional calculus implications are explicit, is presented and then contrasted with the corresponding standard quantum cosmology setting.