32 research outputs found
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.Comment: Mod. Phys. Lett. style, 8pp., no figure
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.Comment: ReVTeX file, 10p
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 coexistenceComment: ReVTeX file, 29pp., no figure
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
Li\'enard-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.Comment: ReVTeX file, no figures, 12p