Grushka, Y. I. (2022). On some properties of Hassani transforms. Matematychni Studii, 57(1), 79-91. https://doi.org/10.30970/ms.57.1.79-91
Grushka, Y. I. (2022). On some properties of Hassani transforms. Matematychni Studii, 57(1), 79-91. https://doi.org/10.30970/ms.57.1.79-91
Grushka, Y. I. (2022). On some properties of Hassani transforms. Matematychni Studii, 57(1), 79-91. https://doi.org/10.30970/ms.57.1.79-91
Grushka, Y. I. (2022). On some properties of Hassani transforms. Matematychni Studii, 57(1), 79-91. https://doi.org/10.30970/ms.57.1.79-91
Abstract
In the present paper, based on the ideas of Algerian physicist M.E. Hassani, the generalized Hassani spatio-temporal transformations in real Hilbert space are introduced. The original transformations, introduced by M.E. Hassani, are the particular cases of the transformations, introduced in this paper. It is proven that the classes of generalized Hassani transforms do not form a group of operators in the general case. Further, using these generalized Hassani transformations as well as the theory of changeable sets and universal kinematics, the mathematically strict models of Hassani kinematics are constructed and the performance of the relativity principle in these models is discussed.
Keywords
groups of operators, universal kinematics, changeable sets, inertial reference frames, tachyons, the principle of relativity
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
