Non commutative classical and Quantum fractionary Cosmology: FRW case
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916142642102272 |
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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 shall explore the effects of non commutativity in fractional classical and quantum schemes using the flat Friedmmann-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 into the fractional framework. Here we introduce noncommutative variables, considering that all minisuperspace variables $\rm q^i_{nc}$ do not commute, so the symplectic structure was modified. In the quantum regime, the probability density presents 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_08169 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non commutative classical and Quantum fractionary Cosmology: FRW case Socorro, J. Rosales, J. Juan Toledo-Sesma, Leonel General Relativity and Quantum Cosmology High Energy Physics - Theory 83D99 In this work we shall explore the effects of non commutativity in fractional classical and quantum schemes using the flat Friedmmann-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 into the fractional framework. Here we introduce noncommutative variables, considering that all minisuperspace variables $\rm q^i_{nc}$ do not commute, so the symplectic structure was modified. In the quantum regime, the probability density presents 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. |
| title | Non commutative classical and Quantum fractionary Cosmology: FRW case |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory 83D99 |
| url | https://arxiv.org/abs/2402.08169 |