scholarly journals Exact form of Maxwell’s equations and Dirac’s magnetic monopole in Fock’s nonlinear relativity

2018 ◽  
Vol 33 (30) ◽  
pp. 1850173 ◽  
Author(s):  
N. Takka ◽  
A. Bouda
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Magnetic Monopole ◽  
Magnetic Charge ◽  
Minkowski Spacetime ◽  
Exact Form ◽  
Formal Approach ◽  
Noncommutative Algebra ◽  
First Approximation ◽  
The Universe

After having obtained previously an extended first approximation of Maxwell’s equations in Fock’s nonlinear relativity, we propose here the corresponding exact form. In order to achieve this goal, we were inspired mainly by the special relativistic version of Feynman’s proof from which we constructed a formal approach more adapted to the noncommutative algebra. This reasoning lets us establish the exact form of the generalized first group of Maxwell’s equations. To deduce the second one, we have imposed the electric–magnetic duality. As in the k-Minkowski spacetime, the generalized Lorentz force depends on the mass of the particle. After having restored the R-Lorentz algebra symmetry, we have used the perturbative treatment to find the exact form of the generalized Dirac’s magnetic monopole in our context. As consequence, the Universe could locally contain the magnetic charge but in its totality it is still neutral.

scholarly journals Quantized gravito-magnetic charges from WIMT: cosmological consequences

2015 ◽  
Vol 93 (4) ◽  
pp. 445-448 ◽  
Author(s):  
Jesús Martín Romero ◽  
Mauricio Bellini
Keyword(s):  
Symmetry Breaking ◽  
Electric Charge ◽  
Magnetic Monopole ◽  
Magnetic Charge ◽  
Topological String ◽  
Magnetic Monopoles ◽  
Matter Theory ◽  
Expansion Of The Universe ◽  
Induced Matter ◽  
The Universe

Using the formalism of Weitzenböck induced matter theory (WIMT) we calculate the gravito-magnetic charge on a topological string, which is induced through a foliation on a five-dimensional (5D) gravito-electromagnetic vacuum defined on a 5D Ricci-flat metric, which produces symmetry breaking on an axis. We obtain the resonant result that the quantized charges are induced on the effective four-dimensional hypersurface. This quantization describes the behavior of a test gravito-electric charge in the vicinity of a point gravito-magnetic monopole, both geometrically induced from a 5D vacuum. We demonstrate how gravito-magnetic monopoles would decrease exponentially during the inflationary expansion of the universe.

scholarly journals Maxwell’s equations in the context of the Fock transformation and the magnetic monopole

2017 ◽  
Vol 95 (10) ◽  
pp. 987-992 ◽  
Author(s):  
N. Takka ◽  
A. Bouda ◽  
T. Foughali
Keyword(s):  
Angular Momentum ◽  
Coordinate Transformation ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Magnetic Monopole ◽  
Poisson Brackets ◽  
Extended Form ◽  
Dirac Monopole ◽  
Lorentz Algebra ◽  
Minkowski Space Time

In the R-Minkowski space–time, which we recently defined from an appropriate deformed Poisson brackets that reproduce the Fock coordinate transformation, we derive an extended form for Maxwell’s equations by using a generalized version of Feynman’s approach. Also, we establish in this context the Lorentz force. As in deformed special relativity, modifying the angular momentum in such a way as to restore the R-Lorentz algebra generates the magnetic Dirac monopole.

Exact form of the generalized Lorentz force in Fock’s nonlinear relativity

2019 ◽  
Vol 34 (03n04) ◽  
pp. 1950016 ◽  
Author(s):  
N. Takka
Keyword(s):  
Electromagnetic Field ◽  
Lorentz Force ◽  
Magnetic Monopole ◽  
Equation Of Motion ◽  
Relative Difference ◽  
Common Point ◽  
Exact Form ◽  
Minkowski Space Time ◽  
Planck Energy ◽  
The Universe

This work completes a series of two papers devoted to the extension of the fundamental laws of electrodynamics in the context of Fock’s nonlinear relativity (FNLR). Indeed, after having established in the previous study the exact generalizations of both Maxwell’s equations and Dirac’s magnetic monopole, we present here the remaining exact Lorentz force. As in [Formula: see text]-Minkowski space–time, two different contributions appear in the corresponding equation of motion where the new effect is interpreted as the gravitational-type Lorentz force. This common point separately induced by the radius of the universe in our case, or Planck energy in other works, reinforces once more the analogy between electromagnetism and gravity in two different scientific approaches. As a relative difference, it is very important to highlight that more homogeneity characterizes our results where each effect is exclusively generated by mass or charge but not both at the same time. Even more, the new effect emerges as the result of the triple effect of the R-deformation, mass and the square of the velocity but completely independent of electromagnetic field.

Cosmological considerations of the absorber theory of radiation

1962 ◽  
Vol 267 (1330) ◽  
pp. 365-383 ◽  
Keyword(s):  
Maxwell’S Equations ◽  
Large Scale ◽  
Maxwell's Equations ◽  
Intrinsic Property ◽  
Arrow Of Time ◽  
Time Symmetry ◽  
The Universe

This paper examines the hypotheses that the physically significant solutions of Maxwell’s equations are those which exhibit perfect time-symmetry, and that radiation is not an intrinsic property of charge. It concludes that radiation and the electrodynamical arrow-of-time may be dependent upon the large-scale cosmological properties of the universe.

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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