dorsal/arxiv
View SchemaModifications of the Lorentz Force Law Complying with Galilean Transformations and the Local-Ether Propagation Model
| Authors | Ching-Chuan Su |
|---|---|
| Categories | |
| ArXiv ID | physics/0211019 |
| URL | https://arxiv.org/abs/physics/0211019 |
Abstract
It is generally expected from intuition that the electromagnetic force exerted on a charged particle should remain unchanged when observed in different reference frames in uniform translational motion. In the special relativity, this invariance is achieved by invoking the Lorentz transformation of space and time. In this investigation an entirely different interpretation of the invariance of force is presented. We propose a new model of the electromagnetic force given in terms of the augmented potentials, which are derived from the electric scalar potential by incorporating a velocity difference between involved particles. The propagation of the potentials is supposed to follow the local-ether model. All of the position vectors, time derivatives, and velocities involved in the proposed potentials and force law are referred specifically to their respective frames. By virtue of this feature, the electromagnetic force is independent of reference frame simply based on Galilean transformations. The proposed model looks quite different from the Lorentz force law, except the electrostatic force. However, under the common low-speed condition where the mobile charged particles forming the current drift very slowly in a neutralizing matrix, it is shown that the proposed model reduces to the Lorentz force law, if the latter is observed in the matrix frame as done tacitly in common practice.
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"abstract": "It is generally expected from intuition that the electromagnetic force\nexerted on a charged particle should remain unchanged when observed in\ndifferent reference frames in uniform translational motion. In the special\nrelativity, this invariance is achieved by invoking the Lorentz transformation\nof space and time. In this investigation an entirely different interpretation\nof the invariance of force is presented. We propose a new model of the\nelectromagnetic force given in terms of the augmented potentials, which are\nderived from the electric scalar potential by incorporating a velocity\ndifference between involved particles. The propagation of the potentials is\nsupposed to follow the local-ether model. All of the position vectors, time\nderivatives, and velocities involved in the proposed potentials and force law\nare referred specifically to their respective frames. By virtue of this\nfeature, the electromagnetic force is independent of reference frame simply\nbased on Galilean transformations. The proposed model looks quite different\nfrom the Lorentz force law, except the electrostatic force. However, under the\ncommon low-speed condition where the mobile charged particles forming the\ncurrent drift very slowly in a neutralizing matrix, it is shown that the\nproposed model reduces to the Lorentz force law, if the latter is observed in\nthe matrix frame as done tacitly in common practice.",
"arxiv_id": "physics/0211019",
"authors": [
"Ching-Chuan Su"
],
"categories": [
"physics.gen-ph"
],
"title": "Modifications of the Lorentz Force Law Complying with Galilean Transformations and the Local-Ether Propagation Model",
"url": "https://arxiv.org/abs/physics/0211019"
},
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