Neutrino world chain in
framework of skeleton conception of particle

dynamics.

Yuri A. Rylov

Updated January 31 2012

One considers a free neutral
particle whose world chain is a spacelike helix with timelike axis. Such world chain appears to be possible in
some discrete space-time geometry. Radius of the helix may be macroscopic. This
fact agrees with the results of the OPERA experiment, where superluminal
velocity of a neutrino has been discovered. The helical world chain can be approximated
by a world tube of macroscopic radius. Discovery of the neutrino superluminal
velocity is an end effect of the thick world tube, but not the mean
superluminal velocity of neutrino. The discrete space-time geometry has no
definite metric dimension. Mathematical technique of linear vector space
(technique of differential geometry) cannot be used in the discrete space-time
geometry. Coordinateless description of the discrete space-time
geometry is used.

There is the text in English (pdf, ps), in Russian (pdf, ps)