18 citations · 178 across the 34 of their papers we have counts for
5 papers · 1 filter
Some subtleties of Riemannian geometry
Yuri A. Rylov
It is shown, that the conventional presentation of the Maxwell equations for the electromagnetic field in the Riemannian space-time appears to be problematic. The reason of hesitat…
Why does the Standard Model fail to explain the elementary particles structure?
Yuri A. Rylov
It is shown, that our contemporary knowledge of geometry is insufficient, because we know only axiomatizable geometries. With such a knowledge of geometry one cannot investigate pr…
Geometries with intransitive equivalence relation
Yuri A. Rylov
One considers geometry with the intransitive equaivalence relation. Such a geometry is a physical geometry, i.e. it is described completely by the world function, which is a half o…
Multivariance as a crucial property of microcosm
Yuri A. Rylov
The conventional method of a generalized geometry construction, based on deduction of all propositions of the geometry from axioms, appears to be imperfect in the sense, that multi…
Geometrical dynamics: spin as a result of rotation with superluminal speed
Yuri A. Rylov
Dynamics is considered as a corollary of the space-time geometry. Evolution of a particle in the space-time is described as a chain of connected equivalent geometrical objects. Spa…