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Keywords = fractional non-commutative classical and quantum cosmology

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15 pages, 4439 KiB  
Article
Non-Commutative Classical and Quantum Fractionary Cosmology: FRW Case
by J. Socorro, J. Juan Rosales and Leonel Toledo-Sesma
Universe 2024, 10(5), 192; https://doi.org/10.3390/universe10050192 - 25 Apr 2024
Cited by 5 | Viewed by 1159
Abstract
In this work, we will explore the effects of non-commutativity in fractional classical and quantum schemes using the flat Friedmann–Robertson–Walker (FRW) cosmological model coupled to a scalar field in the K-essence formalism. In previous work, we have obtained the commutative solutions in both [...] Read more.
In this work, we will explore the effects of non-commutativity in fractional classical and quantum schemes using the flat Friedmann–Robertson–Walker (FRW) cosmological model coupled to a scalar field in the K-essence formalism. In previous work, we have obtained the commutative solutions in both regimes in the fractional framework. Here, we introduce non-commutative variables, considering that all minisuperspace variables qnci do not commute, so the symplectic structure was modified. In the quantum regime, the probability density presents a new structure in the scalar field corresponding to the value of the non-commutative parameter, in the sense that this probability density undergoes a shift back to the direction of the scale factor, causing classical evolution to arise earlier than in the commutative world. Full article
(This article belongs to the Special Issue Recent Advances in Quantum Cosmology)
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