Weber’s electrodynamics for the hydrogen atom

Torres-Silva, H.; López‐Bonilla, J.; López-Vázquez, R.; Rivera-Rebolledo, J. M.

doi:10.13057/ijap.v5i01.260

Cited by 12 publications

(5 citation statements)

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“…It has been demonstrated that it is consistent with Maxwell's equations [54][55][56][57][58]. Research into Weberian electrodynamics has received a significant contribution from Assis [38,55,[59][60][61] and has been applied to several pure and applied problems [43,52,57,[62][63][64][65][66][67][68][69][70][71].…”

Section: Resultsmentioning

confidence: 92%

A Novel Model of Unipolar Induction Phenomena Based on Direct Interaction Between Conductor Charges

Baumgärtel¹,

Smith²,

Maher³

2021

PIER

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Unipolar induction has been a heavily discussed phenomenon in the realm of electrodynamics, with research and experiments proposing and supporting different ways to explain the observed effects. This paper presents a novel model to predict induced electromotive forces in a Faraday generator, based on direct interaction between conductor charges. It is compared with predictions that are usually obtained through considerations of Lorentz force, flux linking or flux cutting rules. A standard apparatus provides additional experimental measurements that show good agreement with the theory.

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Section: Resultsmentioning

confidence: 92%

A Novel Model of Unipolar Induction Phenomena Based on Direct Interaction Between Conductor Charges

Baumgärtel¹,

Smith²,

Maher³

2021

PIER

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“…with the unknown parameters a 11 , a 12 , a 21 , and a 22 8 . Because the pilot tone of the FM signal is used, the s(t) signals are sinusoidal.…”

Section: Tests and Measurement Resultsmentioning

confidence: 99%

Experimental detection of superluminal far-field radio waves with transverse plasma antennas

Kühn¹

2022

Preprint

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<p>The predictions of Maxwell’s equations depend on the reference frame in which they are solved. If one solves Maxwell's equations in the rest frame of the transmitter, which is the common approach, one obtains Lorentz-Einstein electrodynamics by adding the special theory of relativity. Here, for formal reasons, no information velocities greater than the speed of light in vacuum are possible. If, however, one solves Maxwell's equations rigorously in the rest frame of the receiver, one comes to a field-theoretical generalization of Weber electrodynamics, which differs from Lorentz-Einstein electrodynamics. Although Einstein's postulates are also fulfilled in this Weber-Maxwell electrodynamics, in a specifically designed experimental setup of two mutually stationary and very distant antennas, electromagnetic waves may travel at velocities that exceed the speed of light in vacuum. This effect, previously predicted only theoretically, has now been experimentally investigated and confirmed. This finding indicates that Lorentz-Einstein electrodynamics is incorrect and that Maxwell's equations should instead be interpreted in terms of Weber electrodynamics. As a subsidiary result, these findings can enable remarkable new technologies, such as a highly compact method for radio direction finding (RDF).</p>

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“…Recently, research interest in Weber electrodynamics has increased, where Weber's force has not only been applied to electron beam deflection [35][36][37], but also to other electromagnetic phenomena, such as induction [38][39][40], and superconductivity [41,42]. Moreover, the theory has further been connected to the fine structure of the hydrogen atom [43,44] and even Planck's constant [45,46]. We will thus show how our model can predict accurate beam trajectories.…”

Section: Mathematical Modellingmentioning

confidence: 92%

A Charged Particle Model based on Weber Electrodynamics for Electron Beam Trajectories in Coil and Solenoid Elements

Baumgärtel¹,

Maher²

2022

PIER C

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To aid with the design, evaluation, and optimisation of charged particle instrumentation, computer modelling is often used. It is therefore of interest to obtain accurate predictions for trajectories of charged species with the help of simulation. Particularly for solenoids and coils, which are often used for guiding, deflecting or focussing particle beams, knowledge of the magnetic field is required, especially in the fringing field regions. A novel model, which is based on a direct-line-of-action force between interacting charges, is described in this paper which accurately predicts the deflection of an electron beam trajectory traversing through a coil and the fringe field region. The model is further compared with a standard field model and a commercially available software package. Additionally, a relatively straightforward experiment has been designed and implemented to verify the simulation results, where it is found that the presented direct-action model is equally as accurate as field-based simulations compared with the experimental results. Furthermore, the magnetic field of a solenoid is visualised and analysed in terms of its radial, axial, and total field strength and compared to a force map obtained from the direct-interaction model. This representation allows for further comparison of the field and force interaction models and it is found that they are qualitatively the same.

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Weber’s electrodynamics for the hydrogen atom

Cited by 12 publications

References 0 publications

A Novel Model of Unipolar Induction Phenomena Based on Direct Interaction Between Conductor Charges

A Novel Model of Unipolar Induction Phenomena Based on Direct Interaction Between Conductor Charges

Experimental detection of superluminal far-field radio waves with transverse plasma antennas

A Charged Particle Model based on Weber Electrodynamics for Electron Beam Trajectories in Coil and Solenoid Elements

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