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Theoretical Investigation of Subluminal Particles Endowed with Imaginary Mass

Faculty of Natural Science, University of Ferrara, 44122 Ferrara, Italy
Academic Editor: Kazuharu Bamba
Particles 2021, 4(2), 325-332; https://doi.org/10.3390/particles4020027
Received: 29 May 2021 / Accepted: 15 June 2021 / Published: 18 June 2021
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 ω-plane. In particular, it is proved that this solution does not contain any superluminal components under the given boundary conditions. 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 the neutrino. In this specific framework, it is proved that the wave packet propagates in spacetime with subluminal group velocities and that it behaves as a localized wave for sufficiently small energies. View Full-Text
Keywords: tachyons; Klein–Gordon equation; tachyon-like Dirac equation; relativistic wave packet tachyons; Klein–Gordon equation; tachyon-like Dirac equation; relativistic wave packet
MDPI and ACS Style

Nanni, L. Theoretical Investigation of Subluminal Particles Endowed with Imaginary Mass. Particles 2021, 4, 325-332. https://doi.org/10.3390/particles4020027

AMA Style

Nanni L. Theoretical Investigation of Subluminal Particles Endowed with Imaginary Mass. Particles. 2021; 4(2):325-332. https://doi.org/10.3390/particles4020027

Chicago/Turabian Style

Nanni, Luca. 2021. "Theoretical Investigation of Subluminal Particles Endowed with Imaginary Mass" Particles 4, no. 2: 325-332. https://doi.org/10.3390/particles4020027

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