Tomaschitz, R. (2004). Tachyonic synchrotron radiation,  Physica A 335, 577-610, DOI: 10.1016/j.physa.2003.11.016



Abstract (ScienceDirect,  SAO/NASA ADS)

The emission of superluminal quanta (tachyons) by ultra-relativistic electrons gyrating in magnetic fields is investigated. The tachyonic Liénard–Wiechert potentials of helically orbiting charges are derived, as well as the superluminal energy flux and the transversal and longitudinal spectral densities. We calculate the tachyonic synchrotron power, its angular dependence, the mean energy of the superluminal quanta radiated, tachyonic emission rates, the spectral maxima, critical and break frequencies, and we identify the Stokes parameter of the longitudinal radiation. The tachyonic energy densities are averaged with electronic power-law distributions, and the spectral indices are determined. Quantitative estimates are given for superluminal synchrotron radiation generated in storage rings, the Jovian magnetosphere, and supernova remnants. The spectral density of Jupiter's tachyonic X-ray emission is inferred from radio fluxes obtained from SL9 pre-impact observations and the Cassini fly-by, and we identify the tachyonic spectral peak at 2 keV in the ROSAT and Einstein spectral maps. We scrutinize multiwavelength observations of galactic supernova remnants, pointing out evidence in their wideband spectra for the TeV γ-radiation to be tachyonic rather than a consequence of inverse Compton scattering or pion decay. In the Crab Nebula, the electronic source population generating this radiation extends beyond the ‘knee’ of the cosmic ray spectrum.


Author Keywords: Superluminal radiation; Curvature radiation; Tachyons; Proca equation; Negative mass-square; Storage rings; Planetary magnetospheres; Van Allen belts; Jupiter's aurora; Supernova remnants; Synchrotron nebulae; Crab Nebula; TeV γ-rays


PACS: 41.60.Ap; 03.50.Kk; 29.20.Dh; 96.35.Kx; 98.38.Mz


Article Outline

1. Introduction

2. Superluminal radiation by helically moving charges

3. Tachyonic spectral densities, curvature radiation, and the longitudinal Stokes parameter

4. Radiant power, tachyonic number counts, and spectral indices

5. Tachyonic X-rays from Jupiter's magnetosphere

6. Tachyonic gamma-rays from the shock-heated plasmas of supernova remnants


Appendix A. Superluminal spectral and power asymptotics







Tachyonic synchrotron radiation



Tomaschitz, Roman



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



Physica A, Volume 335, Issue 3-4, p. 577-610.

Publication Date:








Superluminal radiation, Curvature radiation, Tachyons, Proca equation, Negative mass-square, Storage rings, Planetary magnetospheres, Van Allen belts, Jupiter's aurora, Supernova remnants, Synchrotron nebulae, Crab Nebula, TeV γ-rays




Bibliographic Code:





description: Roman Tomaschitz (2004) Tachyonic synchrotron radiation,  Physica A 335, 577.


Keywords: superluminal radiation by ultra-relativistic electrons gyrating in magnetic fields, tachyonic Liénard–Wiechert potentials of electrons in circular orbits, Proca fields with negative mass-square, tachyonic synchrotron power, polarization of tachyonic curvature radiation, transversal and longitudinal Stokes parameters for superluminal radiation, tachyonic synchrotron radiation from the Jovian magnetosphere, Jupiter's tachyonic X-ray emission, shock-heated electron plasmas of synchrotron nebulae, Crab Nebula, high-energy cosmic rays


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