## Abel
Prize 2009 as a necessitation to discussion on geometry, or

## physicist
versus geometers

## 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

Contemporary
geometers do not acknowledge nonaxomatizable geometries. This fact means that
our knowledge of geometry is poor. A perfect knowledge of geometry is important
for "consumers of geometry"\quad\ (physicists dealing with geometry
of microcosm), because poor knowledge of geometry forces physicists to refuse
from the orthodox geometrical paradigm and to use the quantum paradigm, which
is a simple fitting, compensating our imperfect knowledge of geometry.

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