Extended Lorentz code of a superluminal particle

TL;DR

This paper proposes an extended Lorentz code framework to explain superluminal particles, maintaining causality and aligning with SN1987A and OPERA data, by introducing multiple maximum velocities for different particle types.

Contribution

It introduces a novel extended Lorentz code model that allows superluminal particles to exist without violating causality, providing a consistent theoretical basis for superluminal neutrinos.

Findings

Superluminal neutrinos can be consistent with causality in the ELC framework.

Different particle types can have distinct maximum velocities.

The model aligns with SN1987A and OPERA experimental data.

Abstract

While the OPERA experimental scrutiny is ongoing in the community, in the present article we construct a toy model of {\it extended Lorentz code} (ELC) of the uniform motion, which will be a well established consistent and unique theoretical framework to explain the apparent violations of the standard Lorentz code (SLC), the possible manifestations of which arise in a similar way in all particle sectors. We argue that in the ELC-framework the propagation of the superluminal particle, which implies the modified dispersion relation, could be consistent with causality. Furthermore, in this framework, we give a justification of forbiddance of Vavilov-Cherenkov (VC)-radiation/or analog processes in vacuum. To be consistent with the SN1987A and OPERA data, we identify the neutrinos from SN1987A and the light as so-called {\it 1-th type} particles carrying the {\it individual Lorentz motion code} with the velocity of light $c_{1}\equiv c$ in vacuum as maximum attainable velocity for all the 1-th type particles. Thereby, we treat superluminal muon neutrinos as so-called {\it 2-nd type} particles carrying the individual Lorentz motion code with the velocity $c_{2}$ as maximum attainable velocity for all the 2-nd type particles. For the muon neutrinos mean energy $E_{\nu 2}=17.5$ GeV, claimed velocity $(v_{\nu 2}-c)/c= 2.48\times 10^{-5}$, and expected finite rest mass $m_{0}\approx 1eV/c^{2}$, we obtain then $ c_{2}/c\approx 17.5\times 10^{9}$.