Non commutative classical and Quantum fractionary Cosmology: Anisotropic Bianchi Type I case

2024/05/27 by J. Socorro, Socorro, J., J. J. Rosales +3 · 2 citations
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.2405.17350

openalex publication_date 2024/05/27 · openalex created_date 2024/05/29 · openalex updated_date 2026/07/28

Abstract

In this work, we will explore the effects of non-commutativity in fractional classical and quantum schemes using the anisotropicc Bianchi Type I cosmological model coupled to a scalar field in the K-essence formalism. We introduce non-commutative variables considering that all minisuperspace variables qⁱ_nc do not commute, so the symplectic structure was modified, resulting in some changes with respect to the traditional formalism. In the quantum regime, the probability density presents a new structure in the scalar field corresponding to the value of the non-commutative parameter.

Cited by

• Modified Mukhanov-Sasaki equation and primordial perturbations in κ-deformed non-commutative space-time
• Noncommutative Bianchi I and III Cosmology Models: Radiation Era Dynamics and gamma Estimation

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• Non commutative classical and Quantum fractionary Cosmology: FRW case
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