Tomaschitz, R. (2003). Superluminal radiation by uniformly moving charges, Physica A 320, 329-356, DOI: 10.1016/S0378-4371(02)01542-X


Abstract (ScienceDirect, SAO/NASA ADS)

The emission of superluminal quanta (tachyons) by freely propagating particles is scrutinized. Estimates are derived for spontaneous superluminal radiation from electrons moving close to the speed of the Galaxy in the microwave background. This is the threshold velocity for tachyon radiation to occur, a lower bound. Quantitative estimates are also given for the opposite limit, tachyon radiation emitted by ultra-relativistic electrons in linear colliders and supernova shock waves. The superluminal energy flux is studied and the spectral energy density of the radiation is derived, classically as well as in second quantization. There is a transversal bosonic and a longitudinal fermionic component of the radiation. We calculate the power radiated, its angular dependence, the mean energy of the radiated quanta, absorption and emission rates, as well as tachyonic number counts. We explain how the symmetry of the Einstein A-coefficients connects to time-symmetric wave propagation and to the Wheeler–Feynman absorber theory. A relation between the tachyon mass and the velocity of the Local Group of galaxies is suggested.


Author Keywords: Superluminal Liénard–Wiechert potentials; Quantum tachyons; Spontaneous tachyon radiation; Detailed balancing; Longitudinal radiation; Aether

PACS classification codes: 05.30.Ch; 42.25.Bs; 11.10.Lm; 98.70.Vc


Article Outline

1. Introduction

2. Superluminal radiation fields, their energy, and the power radiated

3. Does a uniformly moving charge radiate?

4. Quantization of the superluminal spectral densities and the radiant power

5. Spontaneous emission and absorption outside the lightcone: Einstein coefficients for free charges

6. Conclusion








Superluminal radiation by uniformly moving charges



Tomaschitz, Roman



AA(Department of Physics, Hiroshima University, 1-3-1 Kagami-yama, 739-8526, Higashi-Hiroshima, Japan)



Physica A, Volume 320, p. 329-356.

Publication Date:









Bibliographic Code:





description: Roman Tomaschitz (2003) Superluminal radiation by uniformly moving charges, Physica A 320, 329.


Keywords: emission of superluminal quanta by freely propagating particles, tachyonic radiation fields, Proca equation with negative mass-square, tachyon radiation from ultra-relativistic electrons, threshold velocity for tachyon emission, polarized superluminal energy flux, transversal and longitudinal tachyonic spectral densities, spontaneous emission and absorption of tachyons, time-symmetric superluminal wave propagation, Wheeler–Feynman absorber theory, absolute space and cosmic time, aether, ether, tachyonic Liénard–Wiechert potentials


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