It is common in the literature on classical electrodynamics (ED) and relativity theory that the transformation rules for the basic electrodynamical quantities are derived from the hypothesis that the relativity principle (RP) applies to Maxwell’s electrodynamics. As it will turn out from our analysis, these derivations raise several problems, and certain steps are logically questionable. This is, however, not our main concern in this paper. Even if these derivations were completely correct, they leave open the following questions: (1) Is the RP a true law of nature for electrodynamical phenomena? (2) Are, at least, the transformation rules of the fundamental electrodynamical quantities, derived from the RP, true? (3) Is the RP consistent with the laws of ED in a single inertial frame of reference? (4) Are, at least, the derived transformation rules consistent with the laws of ED in a single frame of reference? Obviously, (1) and (2) are empirical questions. In this paper, we will investigate problems (3) and (4). First we will give a general mathematical formulation of the RP. In the second part, we will deal with the operational definitions of the fundamental electrodynamical quantities. As we will see, these semantic issues are not as trivial as one might think. In the third part of the paper, applying what J. S. Bell calls “Lorentzian pedagogy”—according to which the laws of physics in any one reference frame account for all physical phenomena— we will show that the transformation rules of the electrodynamical quantities are identical with the ones obtained by presuming the covariance of the equations of ED, and that the covariance is indeed satisfied. As to problem (3), the situation is much more complex. As we will see, the RP is actually not a matter of the covariance of the physical equations, but it is a matter of the details of the solutions of the equations, which describe the behavior of moving objects. This raises conceptual problems concerning the meaning of the notion “the same system in a collective motion”..
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Is the Relativity Principle Consistent with Electrodynamics? Towards a Logico-Empiricist Reconstruction of a Physical Theory.Marton Gomori & Laszlo E. Szabo - manuscript
On the Meaning of Lorentz Covariance.László E. Szabó - 2004 - Foundations Of Physics Letters 17:479-496.
Einstein's Investigations of Galilean Covariant Electrodynamics Prior to 1905.John D. Norton - manuscript
Relativistic Mechanics and Electrodynamics Without One-Way Velocity Assumptions.Carlo Giannoni - 1978 - Philosophy of Science 45 (1):17-46.
Inconsistency in Classical Electrodynamics?F. A. Muller - 2007 - Philosophy of Science 74 (2):253-277.
On the Electrodynamics of Moving Bodies.Albert Einstein - 1923 - In The Principle of Relativity. Dover Publications. pp. 35-65.
Another Look at General Covariance and the Equivalence of Reference Frames.Dennis Dieks - 2006 - Studies in History and Philosophy of Science Part B 37 (1):174-191.
The Relation Between Classical and Quantum Electrodynamics.Valente Mario Bacelar - 2011 - Theoria 26 (1):51-68.
Added to index2010-10-13
Total downloads81 ( #64,103 of 2,163,974 )
Recent downloads (6 months)3 ( #129,103 of 2,163,974 )
How can I increase my downloads?