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Broadening quantum cosmology with a fractional whirl
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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.
Forward citations
Cited by 2 Pith papers
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Emergent $\Lambda$CDM cosmology from a measure-induced deformation of the Newtonian action
Deforming the Newtonian action with a fractional time kernel generates effective ΛCDM cosmology, including accelerated expansion from a single potential when α is near 1.
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Fractional entropy of the Brown-Kucha\v{r} dust in fractional anti-de Sitter quantum gravity
In flat AdS quantum cosmology with Brown-Kuchar dust, the fractional Wheeler-DeWitt equation yields mass and entropy spectra scaling as (n+1/2)^(alpha/2), with a fractal mass dimension D = 3 alpha / 2.
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