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An electromagnetic way to derive basic relativistic transformations
General Physics · Submitted 13 Sep 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We derive the relativistic velocity addition law, the transformations of electromagnetic fields and space-time intervals by examining the drift velocities in a crossed electromagnetic field configuration.
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The abstract, sentence by sentence
We derive the relativistic velocity addition law, the transformations of electromagnetic fields and space-time intervals by examining the drift velocities in a crossed electromagnetic field configuration. The postulate of the light velocity invariance is not taken as a priori, but is derived as the universal upper limit of physical drift velocities. The key is that a physical drift of either an electric charge or a magnetic charge remains a drift motion by inertial reference frame transformations. Such a simple fact is incompatible with the Galilean velocity addition. This derivation provides a way to introduce relativity via elementary electromagnetism.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We derive the relativistic velocity addition law, the transformations of electromagnetic fields and space-time intervals by examining the drift velocities in a crossed electromagnetic field configuration. | contribution 0.85 | 0.95 | 0.43 | asserted 1.00 |
| s1 | The postulate of the light velocity invariance is not taken as a priori, but is derived as the universal upper limit of physical drift velocities. | result 0.70 | 0.90 | 0.36 | asserted 1.00 |
| s2 | The key is that a physical drift of either an electric charge or a magnetic charge remains a drift motion by inertial reference frame transformations. | method 0.68 | 0.46 | 0.16 | asserted 1.00 |
| s3 | Such a simple fact is incompatible with the Galilean velocity addition. | interpretation 0.84 | 0.60 | 0.15 | asserted 1.00 |
| s4 | This derivation provides a way to introduce relativity via elementary electromagnetism. | interpretation 0.78 | 0.75 | 0.27 | asserted 0.94 |
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Original abstract
We derive the relativistic velocity addition law, the transformations of electromagnetic fields and space-time intervals by examining the drift velocities in a crossed electromagnetic field configuration. The postulate of the light velocity invariance is not taken as a priori, but is derived as the universal upper limit of physical drift velocities. The key is that a physical drift of either an electric charge or a magnetic charge remains a drift motion by inertial reference frame transformations. Such a simple fact is incompatible with the Galilean velocity addition. This derivation provides a way to introduce relativity via elementary electromagnetism.
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