scholarly journals Direct calculation of length contraction and clock retardation

2015 ◽  
pp. 49-58 ◽  
Author(s):  
D.V. Redzic
Keyword(s):  
Electromagnetic Field ◽  
Causal Effect ◽  
Direct Calculation ◽  
Equation Of Motion ◽  
Uniform Motion ◽  
Correct Equation ◽  
Length Contraction ◽  
Inertial Frames ◽  
Electromagnetic Models ◽  
Dynamical Change

For simple electromagnetic models of a rod and a clock, a change of shape of a rod and of the rate of clock when they are set in uniform motion is calculated exactly, employing the correct equation of motion of a charged particle in electromagnetic field and the universal boostability assumption. Thus it is demonstrated that, for the simple system considered, the length contraction and clock retardation can be interpreted as dynamical cause-and-effect phenomena, and not as kinematical effects as usually construed in conventional presentations of Special Relativity. It is argued that the perspective relativistic change of an object (corresponding to observations from two inertial frames), while certainly being an a causal effect, has a dynamical content in the sense that it is tantamount to an actual dynamical change of the object in one frame.

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.

scholarly journals Some arguments for the wave equation in Quantum theory

2021 ◽  
Vol 5 (1) ◽  
pp. 314-336
Author(s):  
Tristram de Piro ◽  
Keyword(s):  
Electromagnetic Field ◽  
Wave Equation ◽  
Quantum Theory ◽  
Continuity Equation ◽  
Wave Equations ◽  
Maxwell's Equations ◽  
Atomic System ◽  
Balmer Series ◽  
Inertial Frames ◽  
The Stability

We clarify some arguments concerning Jefimenko’s equations, as a way of constructing solutions to Maxwell’s equations, for charge and current satisfying the continuity equation. We then isolate a condition on non-radiation in all inertial frames, which is intuitively reasonable for the stability of an atomic system, and prove that the condition is equivalent to the charge and current satisfying certain relations, including the wave equations. Finally, we prove that with these relations, the energy in the electromagnetic field is quantised and displays the properties of the Balmer series.

Essence of Electric Charge of elementary particles according of New axioms and Laws

2020 ◽  
Vol 3 (4) ◽  
Keyword(s):  
Electromagnetic Field ◽  
Electron Pair ◽  
Constant Speed ◽  
Longitudinal Vortex ◽  
Uniform Motion ◽  
Variable Velocity ◽  
Variable Speed ◽  
External Observer ◽  
Closed Circle ◽  
The Waves

Two new Axioms and eight new Laws have been proposed and developed in previous reports. This report uses both axioms and only four laws. According to the first axiom (Axiom1), we can replace uniform motion in a closed circle with non-uniform motion in an open vortex. According to the second axiom (Axiom2), there are pairs of vortices that are mutually orthogonal or they tend to work in a system by a special type of resonance. Of all the variants of vortex pairs, the most probable is the pair: accelerating vortex from the center outwards connected with a delayed vortex from the periphery inwards. This pair is a model of the connected proton-electron pair. The behavior of a free electron and a proton in an Electromagnetic Field is studied. Actually like a cross vortex from outside to inside the electron will be directed to the positive pole. Therefore, an external observer who does not know what the internal structure of the electron is will think and will be deceived that the electron carries a negative charge. The exact opposite is observed for the proton. The properties of a system of linked electrons and protons are also studied. It is known that the Electromagnetic Field propagates at a constant speed and when pulsating the waves are only transverse. According to the new Axioms and Laws in the electron-proton system, the internal connections are of variable speed and when pulsating, the waves are not only transverse and longitudinal. Because the Electromagnetic field is only transverse at a constant speed , it appears that the interaction between the proton and the electron is not Electromagnetic but some other interaction. The interaction between the protons includes cross vortex with variable velocity and longitudinal vortex with variable velocity

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.

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.

Effect of weak nonlinearities on the plane waves in a plasma stream

1976 ◽  
Vol 54 (1) ◽  
pp. 39-47 ◽  
Author(s):  
S. R. Seshadri
Keyword(s):  
Plane Waves ◽  
Equation Of Motion ◽  
Wave Number ◽  
Plasma Stream ◽  
Electromagnetic Mode ◽  
Correct Equation ◽  
Long Time ◽  
Modulational Stability ◽  
The Waves ◽  
Slow Modulation

The effect of weak nonlinearities on the monochromatic plane waves in a cold infinite plasma stream is investigated for the case in which the waves are progressing parallel to the drift velocity. The fast and the slow space-charge waves undergo amplitude-dependent frequency and wave number shifts. There is a long time slow modulation of the amplitude of the electromagnetic mode which becomes unstable to this nonlinear wave modulation. The importance of using the relativistically correct equation of motion for predicting correctly the modulational stability of the electromagnetic mode is pointed out.

scholarly journals A New Thought Experiment on Relativistic Length Contraction

2021 ◽  
Vol 03 (03) ◽  
pp. 2150012
Author(s):  
B. Raychaudhuri ◽  
S. Ghose ◽  
A. Bhadra
Keyword(s):  
Relative Motion ◽  
Thought Experiment ◽  
New Thought ◽  
Paradoxical Situation ◽  
Length Contraction ◽  
Dynamical Aspect ◽  
Inertial Frames ◽  
Relativistic Length

Relativistic length contraction is revisited and a simple but new thought experiment is proposed in which an apparent asymmetric situation is developed between two different inertial frames regarding detection of light that comes from a chamber to an adjacent chamber through a movable slit. The proposed experiment does not involve gravity, rigidity or any other dynamical aspect apart from the kinematics of relative motion; neither does it involve any kind of nonuniformity in motion. The resolution of the seemingly paradoxical situation has finally been discussed.

scholarly journals The Accelerated Motion of Droplets and Bubbles

1956 ◽  
Vol 9 (1) ◽  
pp. 19 ◽  
Author(s):  
T Pearcey ◽  
GW Hill
Keyword(s):  
Differential Equation ◽  
Drag Force ◽  
Equation Of Motion ◽  
Viscous Medium ◽  
Rate Of Change ◽  
Uniform Motion ◽  
Small Particles ◽  
Accelerated Motion ◽  
Scale Transformations ◽  
Accelerated Particles

The drag force acting upon small particles such as droplets and bubbles, moving through a viscous medium, depends upon the rate of change of the state of motion of the medium and upon the diffusion of vorticity from the surface' of the particle. For accelerated particles the drag force changes with time and depends upon all previous accelerations. The equation of motion of a particle takes the form of an integro-differential equation, which has been solved numerically in the case of deceleration to rest from uniform motion with no impressed body forces. In any experiments designed according to the principles of dynamical similarity, the ratios of viscosities and densities of the medium and the particle must be maintained constant in the scale transformations involved.

scholarly journals An Elucidation of the Symmetry of Length Contraction Predicted by the Special Theory of Relativity

2017 ◽  
Vol 9 (3) ◽  
pp. 31
Author(s):  
Koshun Suto
Keyword(s):  
Common Sense ◽  
Constant Velocity ◽  
Inertial Frame ◽  
Special Theory ◽  
Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Length Contraction ◽  
Inertial Frames ◽  
Objective State

In this paper, consider a rod A (inertial frame A) and rod B (inertial frame B) moving at constant velocity relative to each other. Assume that the lengths of two rods are equal when they are stationary. According to the STR, when length in the direction of motion of rod B, moving at constant velocity, is measured from inertial frame A, the rod contracts in the direction of motion. Also, the time which elapses on clock in inertial frame B is delayed compared to the time which elapses on clock in inertial frame A. If, conversely, inertial frame A is measured from inertial frame B, rod A contracts in the direction of motion, and the time which elapses on clock is delayed. However, according to classical common sense, if rod B contracts when measured from inertial frame A, then rod A measured from rod B must be longer than rod B. Thus, this paper discusses the symmetry of rod contraction, and elucidates this problem. It is found, based on the discussion in this paper, that the contraction of a rod includes true physical contraction, and relativistic contraction obtained due to measurement using the method indicated by Einstein. However, in the STR, any two inertial frames are equivalent, and therefore is not possible to accept points such as the fact that reasons for contraction are different. This paper concludes that STR is not a theory which describes the objective state of reality.

Sign in / Sign up

Export Citation Format

Share Document