Weber’s Electrodynamics

Assis, A. K. T.

doi:10.1007/978-94-017-3670-1_3

Cited by 41 publications

(66 citation statements)

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“…An alternative mathematical formulation of the physics of electrodynamics was proposed by Weber [1], which would combine all the equations of classical electrodynamics, the Maxwell equations together with the Lorentz force law, into a single equation. As shown by Assis [1] all the classical properties of electromagnetism can be derived from the Weber equation.…”

Section: Introductionmentioning

confidence: 99%

Experimental investigation of the influence of spatially distributed charges on the inertial mass of moving electrons as predicted by Weber’s electrodynamics

Láng

2017

Can. J. Phys.

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It was shown (J. Phys. Soc. Jpn. 62, 1418(1993.) that Weber's force law predicts an influence upon the apparent inertial mass of electrically charged particles in relative motion. The quantity of this influence, called Weber's mass, depends on the relative motion (both speed and acceleration) and the relative spatial distribution of the particles. A special case was analytically solved, in which the motion of a single point charge was considered that is surrounded by a static and fixed spherical surface with a homogeneous charge distribution. The first experimental test of the prediction showed positive results (Annal. Fond. Louis de Broglie, 24, 161 (1999).). Two reproductions were carried out, in which null results were reported together with an explanation for the previous positive result. It was suggested that a possible reason for the null result in the experimental setup could be that the charges could freely move on the surface. We set out to reproduce all previous experiments in order to get detailed insight into the problem, after which we designed a setup that would exclude the possibility of the moving charges on the surface. In all situations we could confirm the null results with a statistical precision of up to 0.009%

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Section: Introductionmentioning

confidence: 99%

Experimental investigation of the influence of spatially distributed charges on the inertial mass of moving electrons as predicted by Weber’s electrodynamics

Láng

2017

Can. J. Phys.

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“…which is a general expression of Mach's principle (Assis, 1994;Brans & Dicke, 1961) showing that our model can fulfil the principle of equivalence of rotation (Fahr & Heyl, 2006). It is often useful to introduce the critical density ρ c : and the density parameter Ω (we take the effects of a cosmological constant into account by including the vacuum energy density ρ Λ = Λ/8πG into the total density).…”

Section: The Solutions Of the Friedmann Equationsmentioning

confidence: 89%

A New Cosmological Model

Vigoureux¹,

Vigoureux²,

Langlois³

2011

Aspects of Today's Cosmology

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“…In a modern context the work of Weber has undergone considerable development by Assis [3][4][5][6] while that of Ritz has received extensive coverage in O'Rahilly's work [1]. The theories of Weber and Ritz are largely unknown or ignored.…”

Section: Weber-ritz: Action-at-a-distance Type Theoriesmentioning

confidence: 99%

“…Often this is due in part to misinformation that such theories are incorrect because they do not allow the derivation of Maxwell's equations. However, a careful reading of [1] or [3] would show that such a view is incorrect as summarised in [7]. Starting from Weber's force (Eq.…”

Section: Weber-ritz: Action-at-a-distance Type Theoriesmentioning

confidence: 99%

Evaluation of Electron Beam Deflections Across a Solenoid Using Weber-Ritz and Maxwell-Lorentz Electrodynamics

Smith¹,

Jjunju²,

Maher³

2015

PIER

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Abstract-The deflection of charged particle beams by electric and/or magnetic fields is invariably based on the field centred approach associated with Maxwell-Lorentz and incorporated into the Lorentz force formula. Here we present an alternative method of calculation based on the force formula of Weber-Ritz and which does not involve, directly, the field entities E and B. In this study we evaluate the deflection of an electron beam by a long solenoid carrying direct current and positioned centrally across the beam. The experiment has some bearing on the Aharonov-Bohm effect in that our calculations indicate that even for very long solenoids the classical force on the beam remains finite. The standard interpretation of the effect is, however, in terms of quantum mechanics and vector potential. Experimental measurements have been made of electron beam deflections by three solenoids, 0.25 m, 0.50 m and 0.75 m long; each solenoid is doubly wound with the same winding density (2600 turns per metre) and carrying the same current of 5.00 A d.c.. Our results indicate that, within the limits of experimental error, both Weber-Ritz and Maxwell-Lorentz theories correlate with measurements for the longer solenoids. However in the case of the shortest solenoid, the lack of uniformity of the magnetic field, leads to significant error in the calculation of beam deflection by the Lorentz force. By contrast in a Weber-Ritz calculation a precise value of beam deflection is obtained by equating the impulse of the non uniform beam force to the vertical momentum change of the electron. This is a fundamentally different approach which uses a statistical summation of forces on the beam in terms of relative velocities between moving electrons and involves a direct computation of the vertical force on the beam due to the circling solenoid current. This method has distinct advantages in terms of economy; that is, it does not involve directly field entities E and B, nor the leakage flux from the solenoid or the vector potential.

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Weber’s Electrodynamics

Cited by 41 publications

References 0 publications

Experimental investigation of the influence of spatially distributed charges on the inertial mass of moving electrons as predicted by Weber’s electrodynamics

Experimental investigation of the influence of spatially distributed charges on the inertial mass of moving electrons as predicted by Weber’s electrodynamics

A New Cosmological Model

Evaluation of Electron Beam Deflections Across a Solenoid Using Weber-Ritz and Maxwell-Lorentz Electrodynamics

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