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Dr. Valery P. Dmitriyev
local time: 2024-03-28 18:32 (+04:00 )
Dr. Valery P. Dmitriyev (Abstracts)
Titles Abstracts Details
  • E=mc2 in the Turbulent Aether (2006) [Updated 1 decade ago]
    by Valery P. Dmitriyev   read the paper:

    Small perturbations of averaged ideal turbulence are known to reproduce the electromagnetic field. A vapor bubble in a turbulent fluid models the neutron. The self-energy of a bubble is defined as the work performed against the pressure of the fluid in order to create the bubble. The mass of the neutron corresponds to the mass of the equilibrium vapor in the bubble. Taking the vapor to be an ideal gas the relationship between the self-energy and the mass of the particle can be established.


  • Mechanical Interpretation of the Klein-Gordon Equation (2001) [Updated 1 decade ago]
    by Valery P. Dmitriyev   read the paper:

    The substratum for physics can be seen microscopically as an ideal fluid traversed in all directions by straight vortex filaments. Small disturbances of an isolated filament are  considered. The Klein-Gordon equation without mass corresponds to elastic stretching of the filament. The wave function has the meaning of the curve's position vector. The mass part of the Klein-Gordon equation describes the rotation of the helical curve about the screw axis due to the hydrodynamic self-induction of the bent vortex filament.


  • Mechanical Analogy for the Wave-Particle: Helix on a Vortex Filament (2001) [Updated 1 decade ago]
    by Valery P. Dmitriyev   read the paper:

    The small amplitude-to-thread ratio helical configuration of a vortex filament in the ideal fluid behaves exactly as a de Broglie wave. The complex-valued algebra of quantum mechanics finds a simple mechanical interpretation in terms of differential geometry of the space curve. The wave function takes the meaning of the velocity, with which the helix rotates about the screw axis. The helices differ in type of the screw right or left-handed. Two kinds of the helical waves deflect in the inhomogeneous fluid vorticity field in the same way as spin particles in the Stern-Gerlach experiment. The helix represents the low curvature asymptotics of a loop-shaped soliton, the latter being governed by the nonlinear Schroedinger equation. The length of the redundant segment, needed in order to form a curvilinear configuration on the originally straight vortex filament, measures the mass of a particle. The unique size of the loop on the vortex filament can be determined by the balance between the energy of the redundant segment and the energy due to the curvature of the loop. The translational velocity of the soliton has the maximum at a value, which is inversely proportional to the length of the redundant segment. Insofar as the maximal velocity of a soliton is restricted from the above by the speed of the perturbation wave in the turbulent medium (i.e. the speed of light in vacuum), there must be a minimal redundant segment. Its length correlates with the Planck?s constant. In the stochastic environs a loop-shaped soliton disintegrates into the collection of the elementary asymptotic helices. An asymptotic helix obeys the linear Schroedinger equation with no dependence on mass. The mass of the particle appears explicitly when we describe the motion of the whole ensemble of the elementary splinters.


  • Mechanical Analogies for the Lorenz Gauge, Particles and Antiparticles (2000) [Updated 1 decade ago]
    by Valery P. Dmitriyev   read the paper:

    An exact analogy of electromagnetic fields and particles can be found in mechanics of a turbulent ideal fluid with voids. The system is supposed to form a fine dispersion of voids in the fluid. This microscopically discontinuous medium is treated as a continuum. The turbulence is described in terms of the Reynolds stresses. Perturbations of the homogeneous isotropic turbulence are considered. For the high-energy low-pressure turbulence they are usually small. This entails the linearization of the Reynolds equations. The latter appear to be isomorphic to Maxwell?s electromagnetic equations. The Lorenz gauge expresses the slight effective compressibility of the medium. A particle can be viewed as a cavity in the medium. A respective antiparticle is modeled with an agglomerate of the medium?s material. Microscopically, these correspond to some nonlinear vortex formations in the "vortex sponge" which are of the cyclone and anticyclone type.


  • Towards a Mechanical Analogy of a Quantum Particle: Turbulent Advection of a Fluid Discontinuity and Schroedinger Mechanics (2000) [Updated 1 decade ago]
    by Valery P. Dmitriyev   read the paper:

    A discontinuity of a turbulent ideal fluid is considered. It is supposed to be split and dispersed, or spread in the stochastic environment forming a gas without hydrostatic pressure. Two equal-mass fragments of a discontinuity are indistinguishable from each other. A gas, that possesses such properties, must behave itself as the Madelung medium.


  • Turbulent Advection of a Fluid Discontinuity and Schr?dinger Mechanics (1999) [Updated 1 decade ago]

    A particle is modeled by a conserved discontinuity - a void or phase precipitate - of a turbulent ideal fluid. A medium discontinuity is split and dispersed in the stochastic environment forming a gas without hydrostatic pressure. Two equal-mass fragments of a discontinuity are indistinguishible from each other. A gas that posesses such properties must behave like the Madelung medium


  • The Vortex Sponge Model of Elementary Particles (1994) [Updated 1 decade ago]

    Following the mechanistic paradigm in physics, it is the vortex sponge that stands behind the solid continuum facade of the elastic ether.  This concept is verified here in regard to quantum mechanics.  The peculiar behavior of microparticles of matter is shown to be shaped by specific properties of the vortex filament of an ideal fluid.


  • The Substratum Origin of Relativistic Effects (1993) [Updated 1 decade ago]

    The Lorentz contraction and other "relativistic" effects can be regarded as the phenomenology of a solid substratum. Particles of matter are modeled by the point defects (singularities) of this medium. Thus within the linear-elastic range no sign of the substratum, such as aether entrainment, can be detected experimentally.