#### Nature of some conceptual
problems in geometry and in the particle

#### dynamics

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

Updated September 8, 2014

#### abstract

The
particle dynamics conception (mathematical formalism) changes rather rare in
the process of the particle dynamics development. It connected with associative
delusions in the existing dynamics conception and with the logical reloading
which is a means of the associative delusion overcoming. Influence of
associative delusions (AD) onto development of physics and mathematics is
investigated. The associative delusion (AD) means a mistake, appearing from
incorrect associations, when a property of one object is attributed to another
one. Examples of most ancient delusions are: (1)~connection of the gravitation
field direction with a preferred direction in space (instead of the direction
to the Earth center), that had lead to the antipode paradox, (2)~statement that
the Earth (not the Sun) is a center of the planetary system, that had lead to
the Ptolemaic doctrine. Now these ADs have been overcame. In the paper one
considers four modern and not yet got over ADs, hose corollaries are false
space-time geometry in the microcosm and most of problems and difficulties of
the quantum field theory (QFT). One shows that ADs have a series of interesting
properties: (1) ADs appear to be long-living delusions, because they are
compensated partly by means of introduction of compensating (Ptolemaic)
conceptions, (2) ADs influence on scientific investigations, generating a
special pragmatic style (P-style) of investigations resembling the experimental
trial and error method, (3) ADs act on
investigations directly and via P-style, ADs direct the science development
into a blind alley. One considers concrete properties of modern ADs and the
methods of their overcoming. From viewpoint of application the paper is an
analysis of mistakes, made in the quantum theory development. One analyses
reasons of these mistakes and suggests methods of their correction..

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