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Andrew E. Chubykalo

Publications and source records attributed to Andrew E. Chubykalo.

At least 19 recordsLinked to original sources
arXiv2011

No-go theorem for the classical Maxwell-Lorentz electrodynamics in odd-dimensional worlds

If the conventional Maxwell--Lorentz formulation of classical electrodynamics is adopted in a flat spacetime of arbitrary odd dimension, then the retarded vector potential $A^μ$ generated by a point charge turns out to be pure gauge, $A^μ=\partial^μχ$. By Gauss' law, the charge shows up as zero. The classical electromagnetic coupling is thus missing from odd-dimensional worlds. If the action is augmented by the addition of the Chern--Simons term, then the classical interaction picture in the three-dimensional world becomes nontrivial.

hep-th↗
arXiv2009

Inertial frames of reference, space and time measurements, and physical principles of special relativity revisited

We give a critical analysis of the conceptual foundations of special relativity. We formulate a simple operational criterion for distinguishing between noninertial and inertial frames which is introduced prior to geometry. We associate the concept of maximal velocity with the existence of an upper bound for a set of rates of movers which travel in the same direction. We define the standard scale for reading the time flow. We refine the treatment of both Einstein's postulates, the principle of relativity and constancy of the velocity of light. The proposed ``reconstruction'' of the geometry of Minkowski space will hopefully be useful for the ongoing examination of possible Lorentz violations.

gr-qc↗
arXiv2005

Unusual formations of the free electromagnetic field in vacuum

It is shown that there are exact solutions of the free Maxwell equations (FME) in vacuum allowing an existence of stable spherical formations of the free magnetic field and ring-like formations of the free electric field. It is detected that a form of these spheres and rings does not change with time in vacuum. It is shown that these convergent solutions are the result of an interference of some divergent solutions of FME. One can surmise that these electromagnetic formations correspond to Kapitsa's hypothesis about interference origin and a structure of fireball.

physics.gen-ph↗
arXiv2002

A Critical Approach to Total and Partial Derivatives

In this brief note we critically examine the process of partial and of total differentiation, showing some of the problems that arise when we relate both concepts. A way to solve all the problems is proposed.

physics.gen-ph↗
arXiv2002

On the theoretical possibility of the electromagnetic scalar potential wave spreading with an arbitrary velocity in vacuum

In this work we revisit the process of constructing wave equations for the scalar and vector potentials of an electromagnetic field, and show that a wave equation with an arbitrary velocity (including a velocity higher than the velocity of light in vacuum) for the scalar potential exists in the framework of classical electrodynamics. Some consequences of this fact are considered. It is shown (in the Appendix) at what point this work differs from works concerned of the problem of the gauge invariance in the classical electrodynamics.

physics.class-ph↗
arXiv2001

Addendum to "Coulomb Interaction Does Not Spread Instantaneously"

We describe the results of experimental research by configurations changed with respect to the original experimental configuration [1]. In this way it is demonstrated that the basic part of the signal registered is due to the Coulomb electric field and does not originate from the transversal electromagnetic wave.

physics.class-ph↗
arXiv1998

On the Physical Origin of the Oppenheimer-Ahluwalia Zero-Energy Solutions

In virtue of the Chubykalo - Smirnov-Rueda generalized form of the Maxwell-Lorentz equation a new form of the energy density of the electromagnetic field was obtained. This result allows us to explain a physical origin of the Oppenheimer-Ahluwalia zero-energy solutions of the Maxwell equations.

physics.class-ph↗
arXiv1998

Double (implicit and explicit) dependence of the electromagnetic field of an accelerated charge on time: Mathematical and physical analysis of the problem

We considered the electromagnetic field of a charge moving with a constant acceleration along an axis. We found that this field obtained from the Liénard-Wiechert potentials does not satisfy Maxwell equations if one considers exclusively a retarded interaction (i.e. pure implicit dependence this field on time). We show that if and only if one takes into account both retarded interaction and direct interaction (so called "action-at-a-distance") the field produced by an accelerated charge satisfies Maxwell equations.

physics.class-ph↗
arXiv1997

On the difference between the charge-free and the charge-neutral solutions of Maxwell equations

It is conventionally believed that solutions of so called "free" Maxwell equations for \varrho=0 (density of charge) describe the free electromagnetic field in empty space (if one considers the free field as a field, whose flux lines neither begin nor end in a charge). We consider three types of regions: (i) "isolated charge-free" region (where all electric fields, generated by charges outside that particular region, are zero), for example, inside a hollow conductor of any shape or in a free-charge Universe; (ii) ``non-isolated charge-free" region (where all electric fields, generated by charges outside that particular region, are not zero) and (iii) "charge-neutral" region (where point charges exist but their algebraic sum is zero). The paper notes that there are two families of solutions: (1) In "isolated charge-free" regions electric free field does not exist in the context of Maxwell's equations, but there may exist a time-independent background magnetic field. (2) In both "charge-neutral" and "non-isolated charge-free" regions where the homogeneous condition \varrho=0 also holds, Maxwell's equation for electric field have non-zero solution, as in the conventional view, but this solution is not free field. We mention some implications related to free-electromagnetic fields and the simplest charge-neutral universe.

physics.class-ph↗
arXiv1997

Theorem on the proportionality of inertial and gravitational masses in classical mechanics

We considered the problem of the proportionality of inertial and gravitational masses in classical mechanics. We found that the kinetic energy of a material mass point m in a circular motion with a constant angular velocity around another material point M depends only on its gravitational mass. This fact, together with the known result that the straight line is a circumference with an infinite radius, allowed us to prove the proportionality between the inertial and gravitational masses.

physics.class-ph↗
arXiv1996

Action at a distance as a full-value solution of Maxwell equations: basis and application of separated potential's method

The inadequacy of Liénard-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 phenomena and the incompleteness of a set of solutions of Maxwell equations are discussed and mathematically proved. Reasons of 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.

hep-th↗
arXiv1996

Principle of Mach, the Equivalence Principle and concepts of inertial mass

A study of kinematics of a 2-body system is used to show that the Mach principle, previously rejected by general relativity, can still serve as an alternative to the concept of absolute space, if one takes into account that the background of distant stars (galaxies) determines {\it both} the inertial and the gravitational masses of a body.

gr-qc↗
arXiv1996

Convection displacement current and alternative form of Maxwell-Lorentz equations

Some mathematical inconsistencies in the conventional form of Maxwell's equations extended by Lorentz for a single charge system are discussed. To surmount these in framework of Maxwellian theory, a novel convection displacement current is considered as additional and complementary to the famous Maxwell displacement current. It is shown that this form of the Maxwell-Lorentz equations is similar to that proposed by Hertz for electrodynamics of bodies in motion. Original Maxwell's equations can be considered as a valid approximation for a continuous and closed (or going to infinity) conduction current. It is also proved that our novel form of the Maxwell-Lorentz equations is relativistically invariant. In particular, a relativistically invariant gauge for quasistatic fields has been found to replace the non-invariant Coulomb gauge. The new gauge condition contains the famous relationship between electric and magnetic potentials for one uniformly moving charge that is usually attributed to the Lorentz transformations. Thus, for the first time, using the convection displacement current, a physical interpretation is given to the relationship between the components of the four-vector of quasistatic potentials. A rigorous application of the new gauge transformation with the Lorentz gauge transforms the basic field equations into an independent pair of differential equations responsible for longitudinal and transverse fields, respectively. The longitudinal components can be interpreted exclusively from the standpoint of the instantaneous "action at a distance" concept and leads to necessary conceptual revision of the conventional Faraday-Maxwell field. The concept of electrodynamic dualism is proposed for self-consistent classical electrodynamics. It implies simultaneous coexistence

hep-th↗