Physics – Classical Physics
Scientific paper
2004-09-20
Phys. Scripta 73 (2006) 639-647
Physics
Classical Physics
15 pages, no tables 1 figure. Revised and extended version of physics/0307133 Some typos removed and minor text improvements i
Scientific paper
10.1088/0031-8949/73/6/018
It is demonstrated how the right hand sides of the Lorentz Transformation equations may be written, in a Lorentz invariant manner, as 4--vector scalar products. This implies the existence of invariant length intervals analogous to invariant proper time intervals. This formalism, making essential use of the 4-vector electromagnetic potential concept, provides a short derivation of the Lorentz force law of classical electrodynamics, the conventional definition of the magnetic field, in terms of spatial derivatives of the 4--vector potential and the Faraday-Lenz Law. An important distinction between the physical meanings of the space-time and energy-momentum 4--vectors is pointed out.
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