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Valery P. Dmitriyev

Publications and source records attributed to Valery P. Dmitriyev.

18 recordsLinked to original sources
arXiv2010

Absolute motion determined from Michelson-type experiments in optical media

The symmetry of vacuum is characterized by the Lorentz group with the parameter $c$. Physical space inside the homogeneous optical medium should be described by the Lorentz group with the parameter $c/n$, where $n$ is the refractive index of the medium. Violation of a one-parameter phenomenological symmetry in the discrete medium, such as gas, creates the opportunity for the experimental detecting the motion of the optical medium relative to luminiferous aether.

physics.gen-ph↗
arXiv2009

Mechanics of electromagnetic interactions

We consider an elastic-plastic medium whose motion equations are isomorphic to Maxwell's equations. Electrical charges are modeled by pressure centers of the medium. The electric interaction is shown to be concerned with the conservation law in the torsion field of the medium. The Lorentz force may correspond to the Coriolis driving force due to the entrainment of the pressure center in the medium's flow.

physics.gen-ph↗
arXiv2008

Special relativity in terms of Lie groups

The special theory of relativity is constructed demanding the retention of the rectilinear form of a trajectory and invariance of the wave equation under linear transformations of space and time coordinates. The usual approach to relativity based on manipulations with the impulse of light is shown to be owing to that the symmetry of the particular solution of the wave equation coincides with the symmetry of the very wave equation. Thereof instead of the equation in partial derivatives we may deal with the algebraic form referred to as the interval.

physics.gen-ph↗
arXiv2008

Relativity from absoluteness

The shortening of bodies in the direction of motion, Lorentz contraction, follows from the solution of Maxwell's equations. Moving light clocks will tick slower than those at rest because the speed of light does not depend on a source of the light. The latter and Lorentz contraction imply the relativistic time dilation. The invariance of the light speed defined as the round-trip value follows from the time dilation and Lorentz contraction. An observer is incognizant about his motion relative to the absolute frame of reference. So, in order to synchronize spaced clocks in a moving reference frame he uses the same procedure as in the absolute frame. We deduce the Lorentz transformation from the Lorentz contraction, time dilation, invariance of the light speed and synchronization procedure. Lorentz transformations constitute a symmetry group of Maxwell's equations. That is the reason why the absolute frame can not be distinguished among other inertial reference frames.

physics.gen-ph↗
arXiv2006

The mass and energy of a vapor bubble in a turbulent ideal fluid

The mass of a bubble in a fluid can be taken as the mass of the vapor in it. The self-energy of the bubble is defined as the work performed against the pressure of the fluid in order to create the bubble. Taking the vapor to be an ideal gas the relationship between the self-energy, the mass of the bubble and the speed of the perturbation wave in a turbulent ideal fluid can be obtained.

physics.gen-ph↗
arXiv2005

Relativistic force transformation

Formulae relating one and the same force in two inertial frames of reference are derived directly from the Lorentz transformation of space and time coordinates and relativistic equation for the dynamic law of motion in three dimensions. We obtain firstly relativistic transformation for the velocity and acceleration of a particle. Then we substitute them in the relativistic dynamic equation and perform tedious algebraic manipulations. No recourse were made to "general rules for the transformation of 4-tensors". Formulae obtained were verified in electrodynamics.

physics.ed-ph↗
arXiv2004

Energy conservation laws in classical electrodynamics

There are three electromagnetic integrals of motion that can be interpreted as the energy. These are the background energy, the elastic energy and the integral in the torsion field commonly referred to as the energy of the electromagnetic field. The integral in the torsion field gains the meaning of the energy insomuch as it is concerned with the mechanical energy of a charged particle.

physics.gen-ph↗
arXiv2004

On vector potential of the Coulomb gauge

The question of an instantaneous action (A M Stewart 2003 Eur. J. Phys. 24, 519) can be approached in a systematic way applying the Helmhotz vector decomposition theorem to a two-parameter Lorenz-like gauge. We thus show that only the scalar potential may act instantaneously.

physics.ed-ph↗
arXiv2004

Mechanics of Schrodinger mechanics

Small perturbations of ideal turbulence obey the Schrodinger equation. Microscopically, the perturbation of turbulence corresponds to formation of small amplitude helices on straight vortex filaments. A helix behaves in the vorticity field of the fluid as a spin particle in the Stern-Gerlach experiment. Taking into account elastic properties of the filament leads to the Klein-Gordon equation.

physics.ed-ph↗
arXiv2003

Logic and thermodynamics: the heat-engine axiomatics of the second law

We challenge the statement that the principle of Thomson and the principle of Clausius are equivalent. A logical mistake in the supposed textbook proof of their equivalency is indicated. On this account we refine the heat-engine axiomatics. We consider the energy exchange in the configuration comprised of two heat reservoirs and one mechanical device and show explicitly the domains banned by the laws of thermodynamics.

physics.gen-ph↗
arXiv2002

Can we derive the Lorentz force from Maxwell's equations?

The Lorentz force can be obtained from Maxwell's equations in the Coulomb gauge provided that we assume that the electric portion of the force acted on a charge is known, and the magnetic component is perpendicular to the velocity of motion of the charged particle.

physics.ed-ph↗
arXiv2001

Mechanical analogy for the wave-particle: helix on a vortex filament

The small amplitude-to-thread ratio helical configuration of a vortex filament in the ideal fluid behaves exactly as 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.

quant-ph↗
arXiv2001

The easiest way to Heaviside ellipsoid

The formula for the electric field of a point charge moving with constant velocity is derived using the symmetry properties of Maxwell's equations - its Lorentz invariance. In contrast to conventional treatments, the derivation presented does not use retarded integrals or relativity transformations.

physics.ed-ph↗
arXiv1999

Mechanical models of physical fields and particles

Earlier obtained results on mechanical analogies of physical fields and particles are reviewed. The approach rests on the concept of the substratum - a mechanical medium, which occupies all the space and serves as a seat to support the light and to transmit interactions. A turbulent ideal fluid was chosen for the substratum. The turbulence is supposed to be homogeneous and isotropic in its ground state. Perturbations of the turbulence model physical fields. Particles originate from the voids in the fluid. Symmetrical pairs of particle-antiparticle find analogies in mechanical pairs of cyclone-anticyclone. A quantum particle is modeled by the dispersion of a point discontinuity (defect) in the stochastic medium. Gravitation relates to emitting by defects the continual flow of the transient point dilatation. The shock wave mechanism of the re-collection a discontinuity in the incompressible medium governs such phenomena as the "wave function collapse" and instantaneous quantum correlations. Microscopically, the electromagnetic wave and gravitation are modeled by the torsional and axisymmetric waves, respectively, in the vortex sponge.

physics.gen-ph↗
arXiv1999

Mechanical analogies for gravitation

A quasielastic model of gravitation is developed. Gravitational field is modeled by the flow of the transient point dilatation, which is supposed to be continually emitted by a discontinuity of the turbulent fluid. Gravitational attraction arises from the contact interaction of the dilatation centers. Gravitational wave is viewed microscopically as the axisymmetric wave propagating at a high speed along a vortex tube.

physics.gen-ph↗
arXiv1999

Mechanical analogies for the Lorentz gauge, particles and antiparticles

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 Lorentz 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".

physics.gen-ph↗
arXiv1999

Towards an Exact Mechanical Analogy of Particles and Fields

An exact analogy of electromagnetic fields and particles can be found in continuum mechanics of a turbulent perfect fluid with voids. Deviations of the turbulence from a homogeneous isotropic state correspond to electromagnetic fields: with the average pressure as electrostatic potential, the average fluid velocity as magnetic vector potential and the density of the average turbulence energy as electromotive force. The waves of turbulence perturbation model the electromagnetic waves. Cavities of the fluid serve as walls to support stationary perturbations of turbulence. Cavitation of the turbulent noncorpuscular fluid occurring in the presence of voids leads to forming dilatational inclusions of empty space and of the quiescent fluid. These model the positive and negative electrically charged particles, respectively. Due to the dilatation, the inclusions interact with the turbulence perturbation fields. This looks exactly as interaction of the charges with the electromagnetic fields. Splitting and dispersion of an inclusion in the stochastic environment model delocalization of a quantum particle.

physics.gen-ph↗