Alternative interpretation of relativistic time-reversal and the time arrow
It is well known that the 4-rotation in four-dimensional space-time is equivalent to the CPT transformation (C is the charge conjugation, P is the space inversion, and T is the time reversal). The standard definition of the T reversal includes the change of the sign of the time variable and replacem...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2022-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.L022052 |
| _version_ | 1797210724349509632 |
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| author | T. Zalialiutdinov D. Solovyev D. Chubukov S. Chekhovskoi L. Labzowsky |
| author_facet | T. Zalialiutdinov D. Solovyev D. Chubukov S. Chekhovskoi L. Labzowsky |
| author_sort | T. Zalialiutdinov |
| collection | DOAJ |
| description | It is well known that the 4-rotation in four-dimensional space-time is equivalent to the CPT transformation (C is the charge conjugation, P is the space inversion, and T is the time reversal). The standard definition of the T reversal includes the change of the sign of the time variable and replacement of the initial state of the particle (system of particles) by the final state and vice versa. Since the time-reversal operation changes the state of a particle, the particle's wave function cannot be the eigenfunction of the corresponding operator with a certain eigenvalue, as in the case of space parity. Unlike the CPT transformation, the separate P, T, or C transformations cannot be reduced to any 4-rotation. The extended Lorentz group incorporates all the separate C, P, or T transformations which do not bring the time axis out of the corresponding light cone. The latter restriction is included in the standard definition of the time reversal. In the present Letter, we ignore this restriction. This allows us to introduce the “time arrow” operator and characterize every particle by the new quantum number—the “time arrow” value. The wave functions of all particles are eigenfunctions of this operator with eigenvalues equal to time arrow values. The particles with the time arrow values opposite to the time arrow value in our universe form another universe (antiuniverse). The existence of an antiuniverse can be confirmed, in principle, by laboratory (atomic) experiments. The antiuniverse may be also considered as a candidate for the role of dark matter. |
| first_indexed | 2024-04-24T10:15:08Z |
| format | Article |
| id | doaj.art-6be4405a978f447b8cbe6bc522852535 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:15:08Z |
| publishDate | 2022-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-6be4405a978f447b8cbe6bc5228525352024-04-12T17:21:29ZengAmerican Physical SocietyPhysical Review Research2643-15642022-06-0142L02205210.1103/PhysRevResearch.4.L022052Alternative interpretation of relativistic time-reversal and the time arrowT. ZalialiutdinovD. SolovyevD. ChubukovS. ChekhovskoiL. LabzowskyIt is well known that the 4-rotation in four-dimensional space-time is equivalent to the CPT transformation (C is the charge conjugation, P is the space inversion, and T is the time reversal). The standard definition of the T reversal includes the change of the sign of the time variable and replacement of the initial state of the particle (system of particles) by the final state and vice versa. Since the time-reversal operation changes the state of a particle, the particle's wave function cannot be the eigenfunction of the corresponding operator with a certain eigenvalue, as in the case of space parity. Unlike the CPT transformation, the separate P, T, or C transformations cannot be reduced to any 4-rotation. The extended Lorentz group incorporates all the separate C, P, or T transformations which do not bring the time axis out of the corresponding light cone. The latter restriction is included in the standard definition of the time reversal. In the present Letter, we ignore this restriction. This allows us to introduce the “time arrow” operator and characterize every particle by the new quantum number—the “time arrow” value. The wave functions of all particles are eigenfunctions of this operator with eigenvalues equal to time arrow values. The particles with the time arrow values opposite to the time arrow value in our universe form another universe (antiuniverse). The existence of an antiuniverse can be confirmed, in principle, by laboratory (atomic) experiments. The antiuniverse may be also considered as a candidate for the role of dark matter.http://doi.org/10.1103/PhysRevResearch.4.L022052 |
| spellingShingle | T. Zalialiutdinov D. Solovyev D. Chubukov S. Chekhovskoi L. Labzowsky Alternative interpretation of relativistic time-reversal and the time arrow Physical Review Research |
| title | Alternative interpretation of relativistic time-reversal and the time arrow |
| title_full | Alternative interpretation of relativistic time-reversal and the time arrow |
| title_fullStr | Alternative interpretation of relativistic time-reversal and the time arrow |
| title_full_unstemmed | Alternative interpretation of relativistic time-reversal and the time arrow |
| title_short | Alternative interpretation of relativistic time-reversal and the time arrow |
| title_sort | alternative interpretation of relativistic time reversal and the time arrow |
| url | http://doi.org/10.1103/PhysRevResearch.4.L022052 |
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