Quantum cosmology of Fab Four John theory with conformable fractional derivative

• Verfasst von: Torres, Isaac [VerfasserIn]
• Verfasst von: Fabris, Júlio César [VerfasserIn]
• Verfasst von: Piattella, Oliver F. [VerfasserIn]
• Verfasst von: Batista, Antônio Brasil [VerfasserIn]
• Titel: Quantum cosmology of Fab Four John theory with conformable fractional derivative
• Verf.angabe: Isaac Torres, Júlio César Fabris, Oliver Fabio Piattella and Antônio Brasil Batista
• E-Jahr: 2020
• Jahr: 31 March 2020
• Umfang: 20 S.
• Teil: volume:6
• Teil: year:2020
• Teil: number:4
• Teil: elocationid:50
• Teil: pages:1-20
• Teil: extent:20
• Fussnoten: Gesehen am 22.03.2021
• Titel Quelle: Enthalten in: Universe
• Ort Quelle: Basel : MDPI, 2015
• Jahr Quelle: 2020
• Band/Heft Quelle: 6(2020), 4, Artikel-ID 50, Seite 1-20
• ISSN Quelle: 2218-1997
• DOI: doi:10.3390/universe6040050
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: alternatives to inflationary models
• Sach-SW: modified gravity
• Sach-SW: quantization methods
• Sach-SW: quantum cosmology
• K10plus-PPN: 1752016661

Abstract

We study a quantization via fractional derivative of a nonminimal derivative coupling cosmological theory, namely, the Fab Four John theory. Its Hamiltonian version presents the issue of fractional powers in the momenta. That problem is solved here by the application of the so-called conformable fractional derivative. This leads to a Wheeler–DeWitt equation of second order, showing that a Bohm–de Broglie interpretation can be constructed. That combination of fractional quantization and Bohmian interpretation provides us a new quantization method, in which the quantum potential is the criterion to say if a quantum solution is acceptable or not to be further studied. We show that a wide range of solutions for the scale factor is possible. Among all of those, a bouncing solution analogous to the perfect fluid cosmology seems to deserve special attention.