The Theoretic Research of Tachyons with Real Mass: Tachyon Transformation Matrix, Tachyon Oscillations, and Measuring Tachyon Velocity
International Journal of High Energy Physics
Volume 5, Issue 1, June 2018, Pages: 23-43
Received: Apr. 23, 2018; Accepted: May 17, 2018; Published: Jun. 11, 2018
Views 824      Downloads 63
Zoran Bozidar Todorovic, Faculty of Sciences, Department of Physics, the University of Pristina, Kosovska Mitrovica, Serbia
Article Tools
Follow on us
In this paper, a theoretical approach has been used in order to present the physical characteristics of tachyons with real mass. The procedure of the transfer from the Einstein’s physics into the world of superluminal particles has been given. In addition, the tachyon transformation matrix has been constructed using the principle of correspondence between these two physics. With the usage of the tachyon matrix, it has been shown how length contraction and time dilatation are calculated in the tachyons case. A particular attention has been devoted to measuring the velocity of tachyons and their potential flavor oscillations since it should be kept in mind that there is no rest reference frame attached to tachyon world lines and, in that sense, special relativity does not treat tachyons on the same footing as particles that are slower than light. It has been demonstrated, using the Lorentz transformation matrix, that it is impossible to measure the velocities above the speed of light with the method of measuring time of flight in laboratories over a certain distance. It has been particularly disclosed that tachyons as isolated particles each on its own could not exist in nature, and if they did exist, they would always appear united with other tachyon types. Owing to that tachyon characteristic, obtained by theoretical consideration, it has been concluded that tachyons, rather than neutrinos as subluminal particles, could comply with the definition for the occurrence of the oscillation phenomena between different tachyon types. Furthermore, the analysis of the velocity of emitted neutrinos during the explosion of Supernova SN1987A has been conducted in the spirit of the proposed theory, where it has been demonstrated that it is possible to measure even superluminal velocities with the usage of that measuring method.
Special Relativity, Leptons, Tachyons, Neutrino Mass and Mixing
To cite this article
Zoran Bozidar Todorovic, The Theoretic Research of Tachyons with Real Mass: Tachyon Transformation Matrix, Tachyon Oscillations, and Measuring Tachyon Velocity, International Journal of High Energy Physics. Vol. 5, No. 1, 2018, pp. 23-43. doi: 10.11648/j.ijhep.20180501.14
Copyright © 2018 Authors retain the copyright of this article.
This article 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.
K. Nakamura et al (2010), “Review of particle physics”, Journal of Physics G Nucl. Part. Phys. 37075021.
P. Hernandez, “Neutrino physics”, arxiv.1010.4131V1 [hep.-ph], 20 Oct. 2010 physics.
Surender Verna, Theoretical and experimental status of neutrino physics: A brief review”. Hindawi Publishing Corporation, Volume 2015, Article ID 385968, 15 pages.
Adamson, P., (2015), “Precision measurement of the speed of propagation of neutrinos using the Minos detectors”. Physical Review D. 92 (5):052005.
OPERA Collaboration (2013), “Measurement of the neutrino speed with the OPERA detector in the CNGS beam using 2012 dedicated data”. Journal of High Energy Physics (1):153.
ICARUS Collaboration (2012). “Precision measurement of the neutrino speed with the ICARUS detector in the CNGS beam”. Journal of High Energy Physics. 2012 (11):49.
LVD Collaboration ), “Measurement of the velocity of neutrinos from the CNGS beam with the Large Volume Detector”. Physical Review Letters. 109 (7):070801.
Borexino Collaboration (2012), “Measurement of CNGS muon neutrino speed with Borexino”. Physics Letters B. 716 (3-5):401-405.
G. Feinberg, “Possibility of faster than light particles”, Physical Review 159 (5), 1089-1105, (1967).
A. Chodos, “The neutrino as a tachyon”, Physics Letters B 150 (6) (1985), 431.
Z. Todorovic, “Theory of tachyonic nature of neutrino”, Fund. Journal of Modern Physics, volume 6, Issues 1-2, 2013, pages 17-47.
Z. Todorovic, “Neutrino oscillations founded on tachyon theory of neutrino”, International journal of astrophysics and space science, 2014; 2(6-1); 18-32.
Z. Todorovic, “Interpretation of experimentally measured neutrino’s velocity based on neutrino’s tachyonic theory”, Fundamental journal of modern physics, Vol. 7, Issue 1, 2014, Pages 9-33. Published on line http://
F. Vissani,,”What is the issue with 1987A neutrinos?”, arxiv:1008.4726v1[jep-ph], 27. Aug.2010.
R. Valentim,, “Evidence for two neutrino bursts from SN1987A ”, arxiv:1706.07824v1 [astro.-ph.hE], 2017.
Ulrich D Jentschura, István Nándori and Robert Ehrlich” Calculation of the decay rate of tachyonic neutrinos against charged-lepton-pair and neutrino-pair Cerenkov radiation”, Journal of Physics G: Nuclear and Particle Physics, Volume 44, Number 10, 2017.
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
Tel: (001)347-983-5186