Geometric paradigm is a necessity but not a hypothesis

 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 April 22, 2009

abstract

It is shown, that the dominating now quantum paradigm is conditioned by our insufficient knowledge of geometry, when we cannot work with discrete geometries and with geometries, having a limited divisibility. Progress in investigation of geometry admits one to use a more natural and reasonable geometric paradigm, when classical principles of dynamics are fixed, and the space-time geometry is varied.

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