On the impossibility to describe the fields of the system of uniformly moving charges in the frame of special relativity
On the impossibility to describe the fields of the system of uniformly
moving charges in the frame of special relativity
In: Episteme. An international journal of science, history and philosophy
Nr. 6, Parte 2. 2002, 21. Dez., ca. 10 S.
Auszüge: „Introduction. – In this article, we intend to discuss one point of foundation of the relativistic theory, i.e. the transformational properties of the scalar potential of the uniformly moving charges. The relativistic theory has the pretension to play a role of an absolutely true theory and this fact seems to be undisputable to such extent that some questions laying in the basis of this theory are treated as postulates or as direct consequences of the postulates. However, the special relativity is based on some experimental facts which cannot be derived from the postulates of the theory. The subject of this article is the analysis of the consistency of the relativistic transformations of the potentials with the experimental facts.
Development of the classical electrodynamics at the end of XIX and beginning of XX century went in a way when the main attention was focused on seeking the transformations for the EM field while going from a frame at a rest to the moving frame. However, the expressions for transformed EM fields have not been studied with necessary thoroughness, namely, only the expressions for the fields created by single point charge were analyzed. But even while analysing these simple expressions some points are overlooked; by the way, these points form the basis of the special relativity. We will show that these ‚holes‘ in basement of the special relativity make the latter to be incorrect. We start from well known Lorentz transformations.“
„In conclusion, we obtain that the only relativistically correct method of establishing the connection between the LW [= Liénard-Wiechert] and Coulomb potentials is relativistically non-invariant itself. Therefore, the relativistic connection (2b) between these potentials derived by Lorentz looks like an artefact, which is conditioned by applying the point like approximation (29b) of the elementary charge. But if we consider the connection between the LW and Coulomb potentials in a strictly mathematical way, and at very small distance, we obtain that Eq. (2b) is wrong. Therefore, the scalar potential cannot be treated as the zero-component of a relativistic four-vector.“
Anmerkung 4: „It is the main trouble of the special relativity that it is impossible to compare quantities which belong to different frames.“
- 22. Januar 2013