On some properties of Hassani transforms

Abstract

In the present paper, based on the ideas of Algerian physicist M.E. Hassani, the generalizedHassani spatial-temporal transformations in real Hilbert space are introduced. The originaltransformations, 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 donot form a group of operators in the general case. Further, using these generalized Hassanitransformations as well as the theory of changeable sets and universal kinematics, the mathematicallystrict models of Hassani kinematics are constructed and the performance of the relativityprinciple in these models is discussed.