Open Access

# 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.

### 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},
}