de Sitter fractional quantum cosmology

We employ Riesz's fractional derivative into the Wheeler--DeWitt equation for a closed de Sitter geometry and obtain no-boundary tunneling wavefunctions. From corresponding probability distributions, event horizon of nucleated universe can be fractal surface with dimensions between $2\leq D<3$. Concretely, wavefunction favors less than $2.5$ an accelerated power-law phase. Differently, proposal conveys close to $3$, instead entering decelerated Subsequently, we extend our discussion towards (non-trivial compact) flat open scenarios. Results suggest that given creation inflationary in is exponentially suppressed, or becomes favored within quantum universe.