Tachyonic spectral fits of γ-ray bursts

Abstract

Evidence for superluminal radiation in γ-ray burst (GRB) spectra is pointed out. The spectral maps of GRB 941017, GRB 990123, and GRB 990104 are analyzed. The superluminal radiation modes are generated by the shock-heated ultra-relativistic source plasma. The tachyonic radiation field is a real Proca field with negative mass-square, coupled to the electron gas by a frequency-dependent fine-structure constant. At GeV energies, the coupling constant approaches a limit value, so that the radiation field is minimally coupled to the electron current. In the soft γ-ray band, the interaction with the GRB plasma becomes nonlocal, due to the varying coupling strength depending on the energy of the radiated modes. The spectral fitting with tachyonic flux densities generated by nonlocal plasma currents is explained. Estimates of the tachyonic luminosity, temperature, and internal energy of the electronic source plasma are obtained from the spectral fits.

Power-law partition and entropy production of high-energy cosmic rays: Knee-ankle structure of the all-particle spectrum

“…The chemical potential μ i = −α i /β i , temperature and fugacity of each gas component can be extracted from the fitting parameters, cf. (16) and (19):…”

“…In this limit, the mass-squares m 2 i can be absorbed in the amplitudeŝ y i ,â i , cf. (16) and (19); the spin multiplicity is s i = 2.…”

“…The spectral flux density of a power-law distribution admits a power-law ascent linear in the log-log flux representation, and a curved descending power-law slope. The curvature is caused by the exponential cutoff determined by the temperature parameter of the Boltzmann factor [18,19]. The broadband spectrum of the all-particle mixture consists of overlapping spectral peaks generated by the partial fluxes of the individual plasma components.…”

Generalized nonlinear Proca equation and its free-particle solutions

“…This, in turn, motivates concrete experiments for the search of the mentioned effects, and for determining concomitant upper bounds for the photon's rest mass. Besides the problem of establishing bounds to the photon mass, the study of the Proca field equation has been a subject of constant interest in theoretical physics [24][25][26][27][28][29]. Proca-like modifications of electromagnetism have been considered in order to explore possible violations of Lorentz invariance at large distances [25].…”

“…Proca-like modifications of electromagnetism have been considered in order to explore possible violations of Lorentz invariance at large distances [25]. The Proca equation with a negative square-mass constitutes a the-oretical tool for the analysis of tachyon physics [26]. Among other interesting aspects of the Proca field we can mention the rich variety of phenomena associated with the coupled Einstein-Proca field equations [28], which constitute a natural extension of the celebrated Einstein-Maxwell equations.…”