Tachyon generalization for Lorentz transforms

Abstract

In the present paper we construct an expansion of the set of Lorentz transforms, which allows for the velocity of the reference frame to be greater than the speed of light. For maximum generality we investigate this tachyon expansion in the case of Minkowski space time over any real Hilbert space.

Key words: Lorentz group, Hilbert space, Minkowski space time, special relativity theory, tachyons.

Full Text

Article Information

Title	Tachyon generalization for Lorentz transforms
Source	Methods Funct. Anal. Topology, Vol. 19 (2013), no. 2, 127-145
MathSciNet	MR3098492
zbMATH	1289.83002
Milestones	Received 06/02/2013
Copyright	The Author(s) 2013 (CC BY-SA)

Authors Information

Ya. I. Grushka
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine 

Citation Example

Ya. I. Grushka, Tachyon generalization for Lorentz transforms, Methods Funct. Anal. Topology 19 (2013), no. 2, 127-145.

BibTex

@article {MFAT682,
    AUTHOR = {Grushka, Ya. I.},
     TITLE = {Tachyon generalization for Lorentz transforms},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {19},
      YEAR = {2013},
    NUMBER = {2},
     PAGES = {127-145},
      ISSN = {1029-3531},
  MRNUMBER = {MR3098492},
 ZBLNUMBER = {1289.83002},
       URL = {http://mfat.imath.kiev.ua/article/?id=682},
}