18 citations · 281 across the 64 of their papers we have counts for
64 papers
Discrete space-time geometry and skeleton conception of particle dynamics
Yuri A. Rylov
It is shown that properties of a discrete space-time geometry distinguish from properties of the Riemannian space-time geometry. The discrete geometry is a physical geometry, which…
Relative localization of gravitational fields
Yuri A. Rylov
A natural two-metric formalism, generated by the world function of the space-time, is used. This circumstance admits one to localize the relative gravitational field, which is desc…
Non-Riemannian model of the space-time responsible for quantum effects
Yuri A. Rylov
A class of homogeneous isotropic space-time models including pseudo-Euclidean space as a special case is considered. Such a model is chosen, where the particle motion is described…
Dirac equation in terms of hydrodynamic variables
Yuri A. Rylov
The distributed system described by the Dirac equation is investigated simply as a dynamic system, i.e. without usage of quantum principles. The Dirac equation is d…
Monistic conception of geometry
Yuri A. Rylov
One considers the monistic conception of a geometry, where there is only one fundamental quantity (world function). All other geometrical quantities a derivative quantities (functi…
Generalization of the relativity theory on the arbitrary space-time geometry
Yuri A. Rylov
Contemporary relativity theory is restricted in two points: (1) a use of the Riemannian space-time geometry and (2) a use of inadequate (nonrelativistic) concepts. Reasons of these…