Multivariance as immanent property of the space-time geometry

Yuri A. Rylov

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://gasdyn-ipm.ipmnet.ru/~rylov/yrylov.htm

Updated November, 23,  2012

Abstract

It shown that the space-time geometry is multivariant, and one cannot describe it completely, using formalism of the linear space. Tachyons and tachyon gas cannot be described in terms of the linear space formalism. To describe correctly the space-time geometry, one needs to use the metric approach and description in terms of the world function. In the framework of metric approach to geometry one can explain freely the dark matter nature.

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