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<p>In this work, we explore non-commutative effects in fractional classical and quantum schemes using the anisotropic 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 <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10714_2025_3363_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="TEX">\(q^{i}_{nc}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>q</mi> <mrow> <mi mathvariant="italic">nc</mi> </mrow> <mi>i</mi> </msubsup> </math></EquationSource> </InlineEquation> do not commute, so the symplectic structure was modified, resulting in some changes concerning 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.</p>

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Non-commutative classical and quantum fractionary cosmology: anisotropic Bianchi type I case

  • 期刊论文

  • 发表日期：

    2025年1月24日

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

摘要

In this work, we explore non-commutative effects in fractional classical and quantum schemes using the anisotropic 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 \(q^{i}_{nc}\) q nc i do not commute, so the symplectic structure was modified, resulting in some changes concerning 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.