Broadening quantum cosmology with a fractional whirl

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.

arXiv comment15 pages, submitted to Modern Physics Letters A

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Cited by in corpus (18)

• Prospecting Black Hole Thermodynamics with Fractional Quantum Mechanics
• Cosmology under the fractional calculus approach
• de Sitter Fractional Quantum Cosmology
• Inflation and fractional quantum cosmology
• Revisiting Fractional Cosmology
• Exact solutions and cosmological constraints in fractional cosmology
• Estimated Age of the Universe in Fractional Cosmology
• Quantum fractionary cosmology: K-essence theory
• Fractional Scalar Field Cosmology
• Emergence of fractal cosmic space from fractional quantum gravity
• Modified Friedmann equations from fractional entropy
• Conformal and Non-Minimal Couplings in Fractional Cosmology
• Fractional Einstein-Gauss-Bonnet scalar field cosmology
• Fractional Schwarzschild-Tangherlini black hole with a fractal event horizon
• Fractional entropy of the Brown-Kuchař dust in fractional anti-de Sitter quantum gravity
• Gravitational Foundations and Exact Solutions in $n$-Dimensional Fractional Cosmology
• Emergent $\Lambda$CDM cosmology from a measure-induced deformation of the Newtonian action
• Quantum Cosmology in $f(Q)$ theory