JOURNAL ARTICLE

EXTENDED LORENTZ TRANSFORMATION AND RELATIVISTIC OBSERVERS.

  • Published In: Advances in Mathematical Sciences & Applications, 2025, v. 34, n. 2. P. 713 1 of 3

  • Database: Mathematics Source 2 of 3

  • Authored By: ALT, HANS WILHELM; WITTERSTEIN, GABRIELE 3 of 3

Abstract

In this paper we present the Extended Lorentz transformation, by which we mean a Lorentz transformation L(V, Id) with a variable relative velocity V completed by a term responsible for the variability. This additional term comes from the well known hyperbolic rotations, which are matrices that leave a hyperboloid invariant. We define Extended Lorentz transformations by using instead of only space rotations all rotations of spacetime. It is shown that a special class of Extended Lorentz transformations fulfills the requirements for a nonlinear relativistic observer transformation, which the classical Lorentz transformation does not. Therefore this theorem breaks the barrier which has hitherto weighed on the theory of Lorentz trnsformations. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Advances in Mathematical Sciences & Applications. 2025/07, Vol. 34, Issue 2, p713
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2025
  • ISSN:1343-4373
  • Accession Number:191163046
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