Institute for Problems in Mechanics, Russian
Academy of Sciences
101-1 ,Vernadskii Ave., Moscow, 119526, Russia
email: rylov@ipmnet.ru
Web site: http://rsfq1.physics.sunysb.edu/~rylov/yrylov.htm
or mirror Web site: http://www.ipmnet.ru/~rylov/yrylov.htm
Updated October 6, 2008
It is shown,
that our contemporary knowledge of geometry is insufficient, because we know
only axiomatizable geometries. With such a knowledge of geometry one cannot
investigate properly physics of microcosm and structure of elementary
particles. One can obtain only a phenomenological systematics of elementary
particles, whose construction does not need a discrimination mechanism. The
discrimination mechanism, responsible for discrete characteristics of
elementary particles, can be created only on the basis of a granular (discrete
and continuous simultaneously) space-time geometry.
There is
text of the paper in English (pdf, ps) and in Russian (ps, pdf)