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Inflation and fractional quantum cosmology

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arxiv 2210.00909 v2 pith:DOF6E7FB submitted 2022-09-30 gr-qc

S. M. M. Rasouli , E.W. Oliveira Costa , P. V. Moniz , S. Jalalzadeh This is my paper · ORCID
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keywords fractionalcosmologyinflationcompactpower-lawquantumstandardapplying
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The Wheeler--DeWitt equation for a flat and compact Friedmann--Lema\^{i}tre--Robertson--Walker cosmology at the pre-inflation epoch is studied in the contexts of the standard and fractional quantum cosmology. Working within the semiclassical regime and applying the WKB approximation, we show that some fascinating consequences are obtained for our simple fractional scenario that are completely different from their corresponding standard counterparts: (i) The conventional de Sitter behavior of the inflationary universe for constant potential is replaced by a power-law inflation. (ii) The non-locality of the Riesz's fractional derivative produces a power-law inflation that depends on the fractal dimension of the compact spatial section of space-time, independent of the energy scale of the inflaton.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Emergent $\Lambda$CDM cosmology from a measure-induced deformation of the Newtonian action

    gr-qc 2026-03 unverdicted novelty 7.0 of 10

    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.

  2. Fractional entropy of the Brown-Kucha\v{r} dust in fractional anti-de Sitter quantum gravity

    gr-qc 2025-01 conditional novelty 5.0 of 10

    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.

  3. Observational Constraints on Emergent Fractional Fractal Cosmology

    gr-qc 2026-07 conditional novelty 4.0 of 10

    Joint SN+H(z)+fσ8+BAO+CMB analysis constrains the EFF fractal dimension to d=2.0004^{+0.0006}_{-0.0003}, with BIC favoring plain ΛCDM.

  4. Fractional Schwarzschild-Tangherlini black hole with a fractal event horizon

    gr-qc 2025-06 reject novelty 4.0 of 10

    A fractional Wheeler-DeWitt equation yields D-dimensional Schwarzschild-Tangherlini black holes, with the horizon called fractal and the temperature set by an arbitrary parameter alpha.

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