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Theoretical Investigation of Subluminal Particles Endowed with Imaginary Mass
Version 1 : Received: 29 May 2021 / Approved: 31 May 2021 / Online: 31 May 2021 (11:22:17 CEST)
A peer-reviewed article of this Preprint also exists.
Nanni, L. Theoretical Investigation of Subluminal Particles Endowed with Imaginary Mass. Particles 2021, 4, 325-332. Nanni, L. Theoretical Investigation of Subluminal Particles Endowed with Imaginary Mass. Particles 2021, 4, 325-332.
In this article, the general solution of the tachyonic Klein-Gordon equation is obtained as a Fourier integral performed on a suitable path in the complex \omega-plane. In particular, it is proved that under given boundary conditions this solution does not contain any superluminal components. On the basis of this result, we infer that all possible spacelike wave equations describe the dynamics of subluminal particles endowed with imaginary mass. This result is validated for the Chodos equation, used to describe the hypothetical superluminal behaviour of neutrino. In this specific framework, it is proved that the wave packet propagates in spacetime with subluminal group velocities and that for enough small energies it behaves as a localized wave.
tachyons; Klein-Gordon equation; tachyon-like Dirac equation; relativistic wave packet
PHYSICAL SCIENCES, Particle & Field Physics
Copyright: This 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.
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