CrossRef Open Access 2024 7 sitasi

Non-Commutative Classical and Quantum Fractionary Cosmology: FRW Case

J. Socorro J. Juan Rosales Leonel Toledo-Sesma

Abstrak

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.

Penulis (3)

J

J. Socorro

J

J. Juan Rosales

L

Leonel Toledo-Sesma

Format Sitasi

Socorro, J., Rosales, J.J., Toledo-Sesma, L. (2024). Non-Commutative Classical and Quantum Fractionary Cosmology: FRW Case. https://doi.org/10.3390/universe10050192

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Informasi Jurnal
Tahun Terbit
2024
Bahasa
en
Total Sitasi
Sumber Database
CrossRef
DOI
10.3390/universe10050192
Akses
Open Access ✓