Non commutative classical and Quantum fractionary Cosmology: Anisotropic Bianchi Type I case
arxiv(2024)
摘要
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 q^i_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.
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