Space-Like Motions of Quantum Zero Mass Neutrinos

TL;DR

This paper discusses how super-luminal neutrino velocities observed in experiments are consistent with special relativity because such neutrinos are virtual, space-like particles with measurable Lorentz-invariant parameters.

Contribution

It demonstrates how experimental data can be used to extract Lorentz-invariant space-like distances and momentum transfers for neutrinos, clarifying their virtual nature.

Findings

Neutrinos exchanged between Geneva and Gran Sasso are virtual and space-like.

Experimental data allows calculation of Lorentz-invariant space-like parameters.

Super-luminal neutrinos do not violate special relativity principles.

Abstract

Recent experimental reports of super-luminal velocity neutrinos moving between Geneva and Gran Sasso in no way contradict the special relativity considerations of conventional quantum field theory. A neutrino exchanged between Geneva and Gran Sasso is both virtual and space-like. The Lorentz invariant space-like distance $L$ and the Lorentz invariant space-like four momentum transfered $\varpi $ between Geneva and Gran Sasso can be extracted from experimental data as will be shown in this work.