On time irreversibility of generalized Hassani kinematics

The original Hassani transforms were introduced in the works of Algerian physicist M. E. Hassani. Hassani's generalized (superluminal) kinematics appeared in the context of generalization and development of Hassani's ideas. In the present paper, applying Theorem of non returning for univer...

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Bibliographic Details
Date:2022
Main Author: Grushka, Ya. I.; Інститут математики НАН України, Київ
Format: Article
Language:English
Published: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 2022
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Online Access:http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2022.20.88-108
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Journal Title:Prykladni Problemy Mekhaniky i Matematyky

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Prykladni Problemy Mekhaniky i Matematyky
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Summary:The original Hassani transforms were introduced in the works of Algerian physicist M. E. Hassani. Hassani's generalized (superluminal) kinematics appeared in the context of generalization and development of Hassani's ideas. In the present paper, applying Theorem of non returning for universal kinematics, it is proven that Hassani's generalized kinematics with positive direction of time are certainly time irreversible. From the physical point of view the last result means that in any time-positive Hassani kinematics temporal paradoxes are impossible basically, that is there is no potential possibility to affect the own past by means of “traveling” and “jumping” between reference frames.  Cite as: Ya. I. Grushka, “On time irreversibility of generalized Hassani kinematics,” Prykl. Probl. Mekh. Mat., Issue 20, 88–108 (2022), https://doi.org/10.15407/apmm2022.20.88-108