arXiv subjects

Roman Smirnov-Rueda

Publications and source records attributed to Roman Smirnov-Rueda.

3 recordsLinked to original sources

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↗

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

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↗