Essay Abstract

The Newtonian investigation strategy declares "Hypotheses non fingo!" In practice it means that, having problems in the theory development, one looks for mistakes in papers of predecessors and corrects them. Sometimes such an investigation strategy admits one to solve the arising problems without a use of additional hypotheses. The conventional method of a generalized geometry construction, based on deduction of all propositions of the geometry from axioms, appears to be imperfect (incomplete) in the sense, that multivariant geometries cannot be constructed by means of this method. Multivariant geometry is such a geometry, where at the point P there are many vectors PP', P'',... which are equivalent to the vector QQ' at the point Q, but they are not equivalent between themselves. In the conventional (Euclidean) method the equivalence relation is transitive, whereas in a multivariant geometry the equivalence relation is intransitive, in general. It is a reason, why the multivariant geometries cannot be deduced from a system of axioms. The space-time geometry in microcosm is multivariant. As a rule the multivariant geometry is a granular geometry, i.e. such a geometry, which is partly continuous and partly discrete. Multivariance is a mathematical method of the granularity description. The granularity (and multivariance) of the space-time geometry generates a multivariant (quantum) motion of particles in microcosm. Besides, the granular space-time generates some discrimination mechanism, responsible for discrete parameters (mass, charge, spin) of elementary particles. Dynamics of particles appears to be determined completely by properties of the granular space-time geometry. The quantum principles appear to be needless.

Author Bio

I am physicist-theorist. I am developing the very serious program "Geometrization of physics". The special relativity and the general relativity are the first two stages of this program. My investigation strategy may be formulated as follows. I search for mistake and preconceptions in the existing fundamental physical theories and try to correct them. A search of mistakes needs a very high scientific qualification. I do not know anybody, who uses such an investigation strategy.

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SHORT ADDITION

The paper is not devoted to the nature of time. The time is simply an attribute of the space-time geometry. However, the time may be continuous, or discrete. It may be compactificated. The time may have indefinite direction of the time arrow, which may be directed partly to future and partly to past (in different proportion). All properties of time are determined by the space-time geometry, which properties are investigated in the paper.

Yuri Rylov