Universe (Apr 2024)

Non-Commutative Classical and Quantum Fractionary Cosmology: FRW Case

  • J. Socorro,
  • J. Juan Rosales,
  • Leonel Toledo-Sesma

DOI
https://doi.org/10.3390/universe10050192
Journal volume & issue
Vol. 10, no. 5
p. 192

Abstract

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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.

Keywords