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 June 18, 2013
It is shown
that the space-time geometry should be formulated in terms of the world
function, because only description in terms of world function admits one to
recognize similar geometrical objects in regions of the space-time geometry
with different geometries. The Berwald-Moor geometry formulated in terms of the
world function appears to be multivariant geometry, which hardly can be used as
a space-time geometry, because in this geometry the world lines wobbling of
free particles differs from the real wobbling.
There is
text of the paper in English (pdf, ps) and in Russian (ps, pdf)