Author: Andrew Chubykalo

On unexpected difficulties in the teaching of the special theory of relativity

Andrew Chubykalo (2016)

The wide availability of information has led to the fact that students are well aware of the difficulties of existing physical theories. In this article we analyze some logical paradoxes of the special relativity theory (SRT), concerning the time dilation and length contraction. The Lorentz transformations and the relativistic law for velocity addition are considered in detail. The notion of relativity and the transverse Doppler effect are discussed. The whole complex of numerous paradoxes in the special theory of relativity worries us by further complications.

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Article

CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA Time dilation Length contraction Lorentz transformations Transverse Doppler effect

Helmholtz theorem and the V-Gauge in the problem of superluminal and instantaneous signals in classical electrodynamics

Andrew Chubykalo (2006)

In this work we substantiate the applying of the Helmholtz vector decomposition

theorem (H-theorem) to vector fields in classical electrodynamics.

Using the H-theorem, within the framework of the twoparameter

Lorentz-like gauge (so called v-gauge), we show that two

kinds of magnetic vector potentials exist: one of them (solenoidal) can

act exclusively with the velocity of light c and the other one (irrotational)

with an arbitrary finite velocity v (including a velocity more

than c) . We show also that the irrotational component of the electric

field has a physical meaning and can propagate exclusively instantaneously.

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Article

CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA Helmholtz theorem v-gauge electromagnetic potentials electromagnetic waves

On the mathematical necessity of the co-existence of electromagnetic fields of the non-standard polarity with the standard electromagnetic fields in the case of the existence of Dirac monopoles

Andrew Chubykalo (2015)

In this brief note we adduce the mathematical rationale of the necessity of the existence of the electromagnetic field of the non-standard polarity if the magnetic charges (Dirac monopoles) exist in reality.

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Article

CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA Dirac monopoles solutions of Maxwell equations polarity

Reply to Comment on ‘Electromagnetic potentials without gauge transformation’

Andrew Chubykalo (2012)

This is a reply to the criticism from Engelhardt and Onoochin of our work (2011 Phys. Scr.

84 015009): a general argument for the possibility of different solutions in different gauges

unrelated to gauge transformation; a result that has been given by Engelhardt and Onoochin

using examples. For this reason we are not in any sense trying to refute the statements made

by Engelhardt and Onoochin, instead we are offering a possible theoretical explanation of

their results.

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Article

CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA Maxwell’s equations Electromagnetic potentials

The Tesla Currents in Electrodynamics

Andrew Chubykalo (2018)

The paper theoretically shows that the Maxwell equations in the Lorentz gauge deal with not only inertial charged particles, but also charged particles that do not have inertia (virtual charges). Virtual charges appear on the surface of metals. Their movement is the currents of Tesla. Experiments confirming their existence are presented, and some features that reveal them. The influence of virtual currents on the process of transfer of conduction electrons in p-n junctions of semiconductor devices is especially interesting. The results obtained can change our understanding of phenomena in the microcosm.

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Article

CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA Virtual charges conduction electrons Avramenko plug Tesla current

Action at a distance as a full-value solution of Maxwell equations: The basis and application of the separated-potentials method

Andrew Chubykalo (1996)

The inadequacy of Lie´nard-Wiechert potentials is demonstrated as one of the examples related to the

inconsistency of the conventional classical electrodynamics. The insufficiency of the Faraday-Maxwell concept

to describe the whole electromagnetic phenomenon and the incompleteness of a set of solutions of Maxwell

equations are discussed and mathematically proved. Reasons for the introduction of the so-called ‘‘electrodynamics

dualism concept’’ ~simultaneous coexistence of instantaneous Newton long-range and Faraday-

Maxwell short-range interactions! have been displayed. It is strictly shown that the new concept presents itself

as the direct consequence of the complete set of Maxwell equations and makes it possible to consider classical

electrodynamics as a self-consistent and complete theory, devoid of inward contradictions. In the framework of

the new approach, all main concepts of classical electrodynamics are reconsidered. In particular, a limited class

of motion is revealed when accelerated charges do not radiate electromagnetic field.

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Article

CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA Maxwell equations separated-potentials method

The inertial property of approximately inertial frames of reference

Andrew Chubykalo (2011)

Is it possible to compare approximately inertial frames in the inertial property?

If this is the case, the inertial property becomes a measurable quantity. We give

a positive answer to this question, and discuss the general principle of design

of devices for making the required measurements. This paper is intended

for advanced undergraduate and graduate students in high energy physics and

relativity. Our aim is twofold: (i) to provide a deeper insight into the essentials

of classical dynamics, and (ii) to give impetus to ingenious young people to

devise new clever, useful and highly sensitive tools for measuring the inertial

property following the pattern outlined in the present discussion.

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Article

CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA Inertial frames Inertial property

Unusual formations of the free electromagnetic field in vacuum

Andrew Chubykalo (2002)

It is shown that there are exact solutions of the free Maxwell equations (FME)

in vacuum allowing the existence of stable spherical formations of the free

magnetic field and ring-like formations of the free electric field. It is detected

that the formof these spheres and rings does not changewith time in vacuum. It

is shown that these convergent solutions are the result of the interference of some

divergent solutions of the FME. One can surmise that these electromagnetic

formations correspond to Kapitsa’s hypothesis about interference origin and

the structure of a fireball.

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Article

CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA Free Maxwell equiations Electromagnetic fields

Self-dual electromagnetic fields

Andrew Chubykalo (2010)

We demonstrate the utility of self-dual fields in electrodynamics. Stable configurations of free

electromagnetic fields can be represented as superpositions of standing waves, each possessing zero

Poynting vector and zero orbital angular momentum. The standing waves are themselves

superpositions of self-dual and anti-self-dual solutions. The idea of self-duality provides additional

insights into the geometrical and spectral properties of stable electromagnetic configurations, such

as those responsible for the formation of ball lightning

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Article

CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA self-duality electromagnetic configurations electromagnetic fields

On the Question of the Invariance of the Light Speed

Andrew Chubykalo (2017)

This article is devoted to the key concept of modern electrodynamics—the

invariance of the speed of light. The general principle of relativity is considered

in detail. Some critical remarks to the relativistic invariance and to the

Lorentz transformations are presented. The general invariance of Maxwell

equations is discussed. Different theoretical expectations for possible results of

Michelson-Morley experiment and some physical consequences are considered.

Some critical remarks to the notion of the light speed and its constancy

are given. The relativistic law for velocity addition, including strangeness of a

noncollinear addition and a superluminal motion, is discussed. Critical analysis

of two works which proof the need for existence of an invariant velocity is

consequentially made.

Producción Científica de la Universidad Autónoma de Zacatecas UAZ

Article

CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA Lorentz Transformations Light Speed Invariance Maxwell Equations Michelson-Morley Experiment Relativistic Law for Velocity Addition Light Speed