Publication:
Quantum cosmology of Fab four John theory with conformable fractional derivative

Файлы
W3106503509.pdf(793.09 KB)
Дата
2020
Авторы
Torres, I.
Piattella, O. F.
Batista, A. B.
Fabris, J. C.
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Научные группы
Организационные подразделения
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Организационная единица
Институт ядерной физики и технологий
Цель ИЯФиТ и стратегия развития - создание и развитие научно-образовательного центра мирового уровня в области ядерной физики и технологий, радиационного материаловедения, физики элементарных частиц, астрофизики и космофизики.
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© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).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.
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Quantum cosmology of Fab four John theory with conformable fractional derivative / Torres, I. [et al.] // Universe. - 2020. - 6. - № 4. - 10.3390/universe6040050
URI
https://www.doi.org/10.3390/universe6040050
 https://www.scopus.com/record/display.uri?eid=2-s2.0-85085935105&origin=resultslist
 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000534068400010
 https://openrepository.mephi.ru/handle/123456789/21888
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