Behaviour of Maxwell’s equations and electric charge under imaginary superluminal Lorentz transformation.

1981 ◽  
Vol 32 (4) ◽  
pp. 117-121 ◽  
Author(s):  
O. P. S. Negi ◽  
B. S. Rajput
Keyword(s):  
Lorentz Transformation ◽  
Electric Charge ◽  
Maxwell’S Equations ◽  
Maxwell's Equations

scholarly journals On Fresnel's convection coefficient in general relativity

1927 ◽  
Vol 116 (773) ◽  
pp. 73-80
Keyword(s):  
General Relativity ◽  
Lorentz Transformation ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Addition Theorem ◽  
Convection Coefficient ◽  
Moving Medium ◽  
Material Body ◽  
Velocity Of Light ◽  
Material Bodies

It is well known that a ray of light travelling in any moving medium has only a fraction of the velocity of the medium added to its own, which is usually called Fresnel’s convection coefficient. A satisfactory explanation of this phenomenon is readily furnished by Einstein’s Addition Theorem for two velocities. In this explanation the velocities of light and the medium are supposed to be independent of one another, in so far as the velocity of the ray alone, in accordance with the First Postulate of Relativity, is considered to be the same as when the medium is at rest, and to this is added, according to the Relativity law, the small velocity of the medium. But, it may be argued that the light phenomenon is a distinct one governed by Maxwell’s electromagnetic equations, and other auxiliary relations in case of material bodies, and the velocity of light in vacuum or in any other material medium should follow immediately from these equations alone. It appears, then, that the more direct way of obtaining the velocity of light in a moving medium would be to appeal to Maxwell’s electromagnetic equations in the medium, and this woidd also furnish means for examining the applicability of the Addition Theorem in the present case. The two processes, however, should be mutually compatible, since Maxwell’s equations, as written in accordance with restricted Relativity, are covariant with regard to Lorentz transformation in which, however, are embodied the Postulates of Relativity, and the Addition Theorem is only a consequence of this transformation. It is, therefore, more usual and also easier to deduce Fresnel’s convection coefficient and Doppler effect by taking a single light-wave, say, a sine vibration, in a co-ordinate system in which the medium rests and then to subject it to Lorentz transformation, than to start from Maxwell’s equations and the auxiliary relations for the moving medium and obtain the velocity from them. But in General Relativity the latter is the only course open to us ; but the question now is far more complicated, since the G-field within a material body is unknown, depending on its inner dynamical conditions. Here an attempt is made to determine the velocity inside such bodies under certain hypotheses, which enable us to obtain Fresnel’s coefficient in the usual form.

The symmetrization of Maxwell's equations, and fractionally charged particles

1970 ◽  
Vol 48 (3) ◽  
pp. 279-282 ◽  
Author(s):  
Darryl Leiter
Keyword(s):  
Electric Charge ◽  
Maxwell’S Equations ◽  
Maxwell Equations ◽  
Maxwell's Equations ◽  
Charged Particles ◽  
Charge Ratio ◽  
Model Universe ◽  
Electromagnetic Interactions ◽  
Electromagnetic Tensor ◽  
Classical Point

It is shown that Maxwell's equations can be consistently symmetrized by the introduction of an additional vector 4-current as the source of the dual of the generalized electromagnetic tensor. The additional 4-current is related to a second type of electric charge which we shall call "m-electric charge," as distinguished from the conventional electric charge (denoted as "e-electric" charge). A Lagrangian formulation of this theory for classical point charges is constructed, yielding the symmetrized Maxwell equations, in which each particle is assumed to carry both an "e-electric" charge and an "m-electric" charge. We show that if the m-electric to e-electric charge ratio is the same for all particles in the model universe, then the predictions of the symmetrized Maxwell equations are the same as that of the unsymmetrized, conventional Maxwell equations. However, if all particles in a detector carry the same m-electric to e-electric charge ratio, not equal to zero, then a detected particle with different m-electric to e-electric charge ratio (than that of the detector) could appear to have only a fractional e-electric charge. This implies that fractionally charged particles could be generated even if only integral multiples of e-charge and m-charge were allowed in the symmetrized theory. This means that it might be experimentally difficult to distinguish between a differently "m-charged" particle, and an SU3-type "quark," in purely electromagnetic interactions alone.

scholarly journals Reevaluation and correction of Maxwell’s Equations: a magnetic field has a source, a moving electric charge

F1000Research ◽  
2020 ◽  
Vol 9 ◽  
pp. 1092
Author(s):  
M.J. Koziol
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Electric Charge ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Electric And Magnetic Fields ◽  
The World ◽  
New Equation ◽  
The Magnetic Field

Maxwell’s Equations are considered to summarize the world of electromagnetism in four elegant equations. They summarize how electric and magnetic fields propagate, interact, how they are influenced by other objects and what their sources are. While it is widely accepted that the source of a magnetic field is a moving charge, one of the equations instead states that the magnetic field has no source. However, it is widely accepted that a magnetic field cannot be created without a moving electric charge. As such, here, after carefully reevaluating how Maxwell derived his equation, a limitation was identified. After adjustments, a new equation was derived that instead demonstrates that the source of a magnetic field is a moving charge, confirming experimentally verified and widely accepted observations.

Sumudu Applications to Maxwell's Equations

PIERS Online ◽  
2009 ◽  
Vol 5 (4) ◽  
pp. 355-360 ◽  
Author(s):  
Fethi Bin Muhammad Belgacem
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations

Maxwell’s Equations versus Newton’s Third Law

2018 ◽  
Author(s):  
Glyn Kennell ◽  
Richard Evitts
Keyword(s):  
Electric Fields ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Simulated Data ◽  
Numerical Data ◽  
Transport Equations ◽  
Concentration Gradients ◽  
Third Law

The presented simulated data compares concentration gradients and electric fields with experimental and numerical data of others. This data is simulated for cases involving liquid junctions and electrolytic transport. The objective of presenting this data is to support a model and theory. This theory demonstrates the incompatibility between conventional electrostatics inherent in Maxwell's equations with conventional transport equations. <br>

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