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.

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.

On the Origin of Four Pi in Physics

2016 ◽  
pp. 3994-4013
Author(s):  
Aaron Hanken
Keyword(s):  
Black Hole ◽  
Surface Area ◽  
Single Particles ◽  
Pythagorean Triples ◽  
Free Particles ◽  
Close Relationship ◽  
Dimensional Parameters ◽  
Gaussian Surface ◽  
Planck Energy ◽  
The Universe

We find the highest symmetry between the fields intrinsic to free particles (free particles having only mass, charge and spin), and show these fields symmetries and their close relationship to force and entropy. The Boltzmann Constant is equal to the natural entropy, in that it is The Planck Energy over The Planck Temperature. This completes a needed symmetry in The Bekenstein-Hawking Entropy. Upon substitution of Planck Units into The Schwarzschild Radius, we find that the mass and radius of any black hole define both the gravitational constant and the natural force. We find that the Gaussian Surface area about a particle is equal to the surface area of an equally massed black hole if we define the gravitational field of that particle to be the quotient of The Planck Force and the particles mass. By these simple substitutions we find that gravity is quantized in units of surface entropy. We also find Pythagorean Triples are resting within the dimensional parameters of Special Relativity, and show this to be the dimensional aspects of single particles observing one another, coupled with the intrinsic Hubble nature of the universe.

scholarly journals Single-particle motion under the influence of the perpendicular ponderomotive force

1987 ◽  
Vol 37 (3) ◽  
pp. 497-506
Author(s):  
M. C. Festeau-Barrioz ◽  
M. L. Sawley ◽  
J. Václavík
Keyword(s):  
Electromagnetic Field ◽  
Single Particle ◽  
Particle Motion ◽  
Ponderomotive Force ◽  
Equation Of Motion ◽  
Exact Equation ◽  
Particle Theory ◽  
Magnetostatic Field ◽  
Single Particle Motion

The motion of a single particle under the influence of the ponderomotive force directed perpendicular to the external magnetostatic field is analysed. By solving the exact equation of motion for a specific applied electromagnetic field, the resultant ponderomotive drift is compared with the prediction of a single-particle theory using the oscillation-centre approximation. The regime of validity of this theory is discussed. It is shown that, for certain values of the amplitude and frequency of the electromagnetic field, the particle motion is unstable and therefore the concept of a single-particle ponderomotive force is meaningless.

Measurement of Neutrino's Magnetic Monopole Charge, Aether, Dark Energy and Cause of Quantum Mechanical Uncertainty

2020 ◽  
Author(s):  
Eue Jin Jeong ◽  
Dennis Edmondson
Keyword(s):  
Particle Physics ◽  
Magnetic Monopole ◽  
High Strength ◽  
Weak Decay ◽  
Magnetic Monopoles ◽  
Electron Neutrino ◽  
Logistic Distribution ◽  
Quantum Mechanical ◽  
Elementary Particle Physics ◽  
The Universe

Abstract Charge conservation in the theory of elementary particle physics is one of the best-established principles in physics. As such, if there are magnetic monopoles in the universe, the magnetic charge will most likely be a conserved quantity like electric charges. If neutrinos are magnetic monopoles, as physicists have speculated the possibility, then neutrons must also have a magnetic monopole charge, and the Earth should show signs of having a magnetic monopole charge on a macroscopic scale. To test this hypothesis, experiments were performed to detect the magnetic monopole's effect near the equator by measuring the Earth's radial magnetic force using two balanced high strength neodymium rods magnets that successfully identified the magnetic monopole charge. From this observation, we conclude that at least the electron neutrino which is a byproduct of weak decay of the neutron must be magnetic monopole. We present mathematical expressions for the vacuum electric field based on the findings and discuss various physical consequences related to the symmetry in Maxwell's equations, the origin of quantum mechanical uncertainty, the medium for electromagnetic wave propagation in space, and the logistic distribution of the massive number of magnetic monopoles in the universe. We elaborate on how these seemingly unrelated mysteries in physics are intimately intertwined together around magnetic monopoles.

Classical electrodynamics: the equation of motion

1974 ◽  
Vol 76 (1) ◽  
pp. 359-367 ◽  
Author(s):  
P. A. Hogan
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Scalar Field ◽  
World Line ◽  
External Electromagnetic Field ◽  
Equation Of Motion ◽  
The Self ◽  
Classical Electrodynamics ◽  
Field Equations ◽  
The World

In this paper we derive the Lorentz-Dirac equation of motion for a charged particle moving in an external electromagnetic field. We use Maxwell's electromagnetic field equations together with the assumptions (1) that all fields are retarded and (2) that the 4-force acting on the charged particle is a Lorentz 4-force. To define the self-field on the world-line of the charge we utilize a contour integral representation for the field due to A. W. Conway. This by-passes the need to define an ‘average field’. In an appendix the case of a scalar field is briefly discussed.

scholarly journals WHY THERE IS SOMETHING SO CLOSE TO NOTHING: TOWARDS A FUNDAMENTAL THEORY OF THE COSMOLOGICAL CONSTANT

2007 ◽  
Vol 22 (10) ◽  
pp. 1797-1818 ◽  
Author(s):  
VISHNU JEJJALA ◽  
DJORDJE MINIC
Keyword(s):  
Quantum Theory ◽  
String Theory ◽  
Cosmological Constant ◽  
Vacuum Energy ◽  
Uncertainty Relation ◽  
Space Time ◽  
Large Size ◽  
Minkowski Space Time ◽  
The Universe ◽  
Canonical Quantum

The cosmological constant problem is turned around to argue for a new foundational physics postulate underlying a consistent quantum theory of gravity and matter, such as string theory. This postulate is a quantum equivalence principle which demands a consistent gauging of the geometric structure of canonical quantum theory. We argue that string theory can be formulated to accommodate such a principle, and that in such a theory the observed cosmological constant is a fluctuation about a zero value. This fluctuation arises from an uncertainty relation involving the cosmological constant and the effective volume of space–time. The measured, small vacuum energy is dynamically tied to the large "size" of the universe, thus violating naive decoupling between small and large scales. The numerical value is related to the scale of cosmological supersymmetry breaking, supersymmetry being needed for a nonperturbative stability of local Minkowski space–time regions in the classical regime.

scholarly journals Manufacture of Locally Reinforced Composite Discs by Casting in the Alternating Electromagnetic Field

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Slawomir Golak
Keyword(s):  
Electromagnetic Field ◽  
Liquid Metal ◽  
System Design ◽  
Aluminium Alloy ◽  
Lorentz Force ◽  
New Method ◽  
Process Theory ◽  
Particle Reinforcement ◽  
Reinforced Composite ◽  
Casting System

The paper discusses a new method of obtaining local particle reinforcement in the composite discs. In this method, the liquid composite suspension is poured into a mould and then exposed to the alternating electromagnetic field. The Lorentz force acting on the liquid metal causes the reinforcement to move towards one or both surfaces of the manufactured disc. The paper presents the process theory, the methodology for the casting system design, and the results of an experimental manufacture of one-side and two-side reinforced composite discs made of aluminium alloy.

Nonrelativistic motion of a charged particle in an electromagnetic field

1998 ◽  
Vol 59 (3) ◽  
pp. 555-560
Author(s):  
C. J. McKINSTRIE ◽  
E. J. TURANO
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Plane Wave ◽  
Particle Motion ◽  
Wave Amplitude ◽  
Equation Of Motion ◽  
Analytic Solutions

The nonrelativistic motion of a charged particle in the electromagnetic field of a plane wave is studied. New analytic solutions of the equation of motion are found that manifest the dependence of the period of the particle motion on the wave amplitude.

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