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- W4308531210 abstract "The Wheeler–DeWitt equation for a flat and compact Friedmann–Lemaître–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 Wentzel-Kramers-Brillouin (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." @default.
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- W4308531210 date "2022-11-05" @default.
- W4308531210 modified "2023-10-18" @default.
- W4308531210 title "Inflation and Fractional Quantum Cosmology" @default.
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- W4308531210 doi "https://doi.org/10.3390/fractalfract6110655" @default.
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