Non commutative classical and Quantum fractionary Cosmology: Anisotropic Bianchi Type I case
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| Format: | Preprint |
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2024
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| _version_ | 1866917676618612736 |
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| author | Socorro, J. Rosales, J. Juan Toledo-Sesma, Leonel |
| author_facet | Socorro, J. Rosales, J. Juan Toledo-Sesma, Leonel |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_17350 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non commutative classical and Quantum fractionary Cosmology: Anisotropic Bianchi Type I case Socorro, J. Rosales, J. Juan Toledo-Sesma, Leonel General Relativity and Quantum Cosmology High Energy Physics - Theory 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. |
| title | Non commutative classical and Quantum fractionary Cosmology: Anisotropic Bianchi Type I case |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.17350 |