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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
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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.

  1. Cosmology of fractional gravity

    gr-qc 2026-04 unverdicted novelty 7.0 of 10

    Fractional gravity yields stable de Sitter expansion and exact bouncing solutions driven by phantom (w < -1) or ghost (negative energy) fluids, with results independent of the form-factor representation.

  2. 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.

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

    gr-qc 2026-03 reject novelty 4.0 of 10

    By choosing an α-dependent gravitational potential, fractional Newtonian cosmology reproduces radiation-, matter-, and dark-energy-dominated expansion, with an effective cosmological constant set by |1−α|.

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