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142
Action at a Distance as a FullValue Solution of Maxwell Equations: the Basis and Application of the SeparatedPotentials Method”, Phys
 Rev. E
, 1996
"... The inadequacy of LiénardWiechert potentials is demonstrated as one of the examples related to the inconsistency of the conventional classical electrodynamics. The insufficiency of the FaradayMaxwell concept to describe the whole electromagnetic phenomena and the incompleteness of a set of solutio ..."
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The inadequacy of LiénardWiechert potentials is demonstrated as one of the examples related to the inconsistency of the conventional classical electrodynamics. The insufficiency of the FaradayMaxwell 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 socalled “electrodynamics dualism concept ” (simultaneous coexistence of instantaneous Newton longrange and FaradayMaxwell shortrange 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 selfconsistent 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.
A Generally Covariant Field Equation for Gravitation and Electromagnetism, preprint www.aias.us
, 2003
"... A generally covariant field equation is developed for gravitation and electromagnetism by considering the metric vector qµ in curvilinear, nonEuclidean spacetime. The field equation is Rµ − 1 2 Rqµ = kT µ, where T µ is the canonical energymomentum fourvector, k the Einstein constant, Rµ the curv ..."
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A generally covariant field equation is developed for gravitation and electromagnetism by considering the metric vector qµ in curvilinear, nonEuclidean spacetime. The field equation is Rµ − 1 2 Rqµ = kT µ, where T µ is the canonical energymomentum fourvector, k the Einstein constant, Rµ the curvature fourvector, and R the Riemann scalar curvature. It is shown that this equation can be written as T µ = αqµ, where α is a coefficient defined in terms of R, k, and the scale factors of the curvilinear coordinate system. Gravitation is described through the Einstein field equation, which is recovered by multiplying both sides by qµ. Generally covariant electromagnetism is described by multiplying the foregoing on both sides by the wedge ∧qν. Therefore, gravitation is described by symmetric metric qµqν and electromagnetism by the antisymmetric defined by the wedge product qµ ∧ qν. Key words: generally covariant field equation for gravitation and electromagnetism, O(3) electrodynamics B(3) field. 1.
Photon physics of revised electromagnetics
 Progress in Physics, 2006
"... Conventional theory, as based on Maxwell’s equations and associated quantum electrodynamical concepts in the vacuum, includes the condition of zero electric field divergence. In applications to models of the individual photon and to dense light beams such a theory exhibits several discrepancies fr ..."
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Conventional theory, as based on Maxwell’s equations and associated quantum electrodynamical concepts in the vacuum, includes the condition of zero electric field divergence. In applications to models of the individual photon and to dense light beams such a theory exhibits several discrepancies from experimental evidence. These include the absence of angular momentum (spin), and the lack of spatially limited geometry in the directions transverse to that of the propagation. The present revised theory includes on the other hand a nonzero electric field divergence, and this changes the field equations substantially. It results in an extended quantum electrodynamical approach, leading to nonzero spin and spatially limited geometry for photon models and light beams. The photon models thereby behave as an entirety, having both particle and wave properties and possessing wavepacket solutions which are reconcilable with the photoelectric effect, and with the dotshaped marks and interference patterns on a screen by individual photons in a twoslit experiment. 1
On the Convection Displacement Current and Alternative Form of MaxwellLorentz Equations. Prepirnt EFUAZ FT9625
, 1996
"... 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 Max ..."
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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 MaxwellLorentz 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 MaxwellLorentz equations is relativistically invariant. In particular, a relativistically invariant gauge for quasistatic fields has been found to replace the noninvariant 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 fourvector 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 FaradayMaxwell field. The concept of electrodynamic dualism is proposed for selfconsistent classical electrodynamics. It implies simultaneous coexistence of instantaneous longrange (longitudinal) and FaradayMaxwell shortrange (transverse) interactions that resembles in this aspect the basic idea of Helmholtz’s electrodynamics.
Longitudinal Nature’ of Antisymmetric Tensor Field After Quantization and Importance of the Normalization
 In Photon: Old Problems in Light of New Ideas (Nova Science Pubs
, 2000
"... It has long been claimed that the antisymmetric tensor field of the second rank is pure longitudinal after quantization. In my opinion, such a situation is quite unacceptable. I repeat the wellknown procedure of the derivation of the set of Proca equations. It is shown that it can be written in var ..."
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It has long been claimed that the antisymmetric tensor field of the second rank is pure longitudinal after quantization. In my opinion, such a situation is quite unacceptable. I repeat the wellknown procedure of the derivation of the set of Proca equations. It is shown that it can be written in various forms. Furthermore, on the basis of the Lagrangian formalism I calculate dynamical invariants (including the PauliLubanski vector of relativistic spin for this field). Even at the classical level the PauliLubanski vector can be equal to zero after applications of wellknown constraints. The importance of the normalization is pointed out for the problem of the description of quantized fields of maximal spin 1. The correct quantization procedure permits us to propose a solution of this puzzle in the modern field theory. Finally, the discussion of the connection of the OgievetskiĭPolubarinovKalbRamond field and electrodynamic gauge is presented. PACS: 03.50.z, 03.50.De, 03.65.Pm, 11.10.z, 11.10.Ef 1.
Two Extended New Approaches to Vacuum, Matter & Fields
, 2005
"... There are unsolved problems in physics leading to difficulties with Maxwell’s equations that are not removed by and not directly associated with quantum mechanics. Recently a number of extended and modified theories have therefore been put forward. For a manifold of these the concepts of the vacuum ..."
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There are unsolved problems in physics leading to difficulties with Maxwell’s equations that are not removed by and not directly associated with quantum mechanics. Recently a number of extended and modified theories have therefore been put forward. For a manifold of these the concepts of the vacuum state have played a fundamental rôle. The two theories by the authors (AK and BL) are related to this state. The first theory consists of a revised formulation of electromagnetics with an electric vacuum charge density(BL), and the second is a unified theory of Bivacuum, matter and fields(AK). In the first theory by BL a spacecharge current density arises from the condition of Lorentz invariance, in addition to the conventional displacement current. This leads both to steady electromagnetic states and to new wave types. The steady states provide models for the leptons, having an internal structure associated with vortex motion around the axis of symmetry at the velocity of light. For the electron the radial forces are kept in balance such as to prevent it from “exploding” under the action of its net selfcharge. The electron model has the deduced character of a pointchargelike state with a very small radius, in which the infinite selfenergy problem is removed, and
Antisymmetry Constraints in the ECE Engineering Model
"... It is argued that antisymmetry constraints govern the whole of unified field theory, and determine the way in which new energy and countergravitational devices should be designed within the ECE engineering model. The constraints are a simple consequence of the antisymmetry of the commutator of co ..."
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It is argued that antisymmetry constraints govern the whole of unified field theory, and determine the way in which new energy and countergravitational devices should be designed within the ECE engineering model. The constraints are a simple consequence of the antisymmetry of the commutator of covariant derivatives used to generate terms in any space time in any dimension in Riemann geometry. Each term that is generated by the commutator is antisymmetric in the commutator indices. This simple result is developed as a law of the field theory in general, and applied in this paper to electromagnetic and gravitational theory within the context of the Einstein Cartan Evans (ECE) generally covariant unified field theory.
The Complete Equations of Classical Dynamics in ECE Theory
"... The complete equations of classical dynamics in ECE theory are deduced directly from Cartan geometry, the first Cartan structure equation, the Bianchi identity, and the Hodge dual of the Bianchi identity. These equations are fully relativistic and reduce to the well known nonrelativistic limits wh ..."
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The complete equations of classical dynamics in ECE theory are deduced directly from Cartan geometry, the first Cartan structure equation, the Bianchi identity, and the Hodge dual of the Bianchi identity. These equations are fully relativistic and reduce to the well known nonrelativistic limits when the spin connection becomes very small. The equations of ECE dynamics have the same structure as the equations of electrodynamics in ECE unified field theory, and the ECE equations of dynamics generalize the gravitomagnetic equations of the standard model to fully relativistic situations without any assumption on linearization.
Evidence for a Photon Mass
, 908
"... The author’s work over the past years has indicated that the photon has a small mass ∼ 10 −33 eV. Recent observations from three different viewpoints – the time lag in cosmic gamma rays with different frequencies, the observation of the spectra of blazars and an analysis of the CMB power supression ..."
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The author’s work over the past years has indicated that the photon has a small mass ∼ 10 −33 eV. Recent observations from three different viewpoints – the time lag in cosmic gamma rays with different frequencies, the observation of the spectra of blazars and an analysis of the CMB power supression from the WMAP data – all vindicate this conclusion and remarkably, the same value. 1 Photon Mass As is well known the concept of the photon grew out of the work of Planck and Einstein, though its earliest origin was in Newton’s Corpuscular Theory. Thereafter the photon got integrated into twentieth century physics, be it Classical or Quantum. Though it is considered to be a massless particle of spin 1 and 2 helicity states (as proved later for any massless particle with spin by Wigner), it is interesting to note that there had been different dissenting views with the photon being endowed with a small mass.