CPT symmetry in the mirror universe
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866914158442708992 |
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| author | Gorobey, Natalia Lukyanenko, Alexander Goltsev, A. V. |
| author_facet | Gorobey, Natalia Lukyanenko, Alexander Goltsev, A. V. |
| contents | A model of a two-sheeted universe in the quantum theory of gravity is proposed, based on the definition of 3D invariant and gauge-invariant proper time of the universe. A uniform time in a closed universe is introduced in the class of equivalent reference systems defined by the spectrum of a Hermitian 3D operator on the space of Dirac bi-spinors, the equality to zero of which is equivalent to a system of gravitational constraints. Based on the analogy with the Lorentz-invariant quantum field theory in Minkowski space and the definition of discrete C-, P- and T-transformations separately, the principle of CPT symmetry in a two-sheeted universe is formulated. A covariant quantum theory of matter gauge fields consistent with the charge conjugation operation in a two-sheeted universe is proposed. The CPT symmetric state of a homogeneous isotropic two-sheeted model of the universe is constructed by an iterative method in which the no-boundary Hartle--Hawking wave function is used as a zeroth approximation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11109 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | CPT symmetry in the mirror universe Gorobey, Natalia Lukyanenko, Alexander Goltsev, A. V. General Relativity and Quantum Cosmology A model of a two-sheeted universe in the quantum theory of gravity is proposed, based on the definition of 3D invariant and gauge-invariant proper time of the universe. A uniform time in a closed universe is introduced in the class of equivalent reference systems defined by the spectrum of a Hermitian 3D operator on the space of Dirac bi-spinors, the equality to zero of which is equivalent to a system of gravitational constraints. Based on the analogy with the Lorentz-invariant quantum field theory in Minkowski space and the definition of discrete C-, P- and T-transformations separately, the principle of CPT symmetry in a two-sheeted universe is formulated. A covariant quantum theory of matter gauge fields consistent with the charge conjugation operation in a two-sheeted universe is proposed. The CPT symmetric state of a homogeneous isotropic two-sheeted model of the universe is constructed by an iterative method in which the no-boundary Hartle--Hawking wave function is used as a zeroth approximation. |
| title | CPT symmetry in the mirror universe |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2511.11109 |