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Einstein equations 0 electrodynamics

Therefore, this is a statement of our fundamental hypothesis, specifically, that the topology of the vacuum defines the field equations through group and gauge field theory. Prior to the inference and empirical verification of the Aharonov-Bohm effect, there was no such concept in classical electrodynamics, the ether having been denied by Lorentz, Poincare, Einstein, and others. Our development of 0(3) electrodynamics in this chapter, therefore, has a well-defined basis in fundamental topology and empirical data. In the course of the development of... [Pg.83]

James Clerk Maxwell died in 1879, the same year that Albert Einstein was born. Sixteen years later Einstein recognized that Maxwell s equations are covariant with respect to the Lorentz transformations between relatively moving inertial frames of reference, that is, reference frames that are in constant relative motion in a straight line. Thus, Einstein recognized in 1895 that the laws of electrodynamics, expressed with Maxwell s held equations, must be in one-to-one correspondence in all possible inertial frames of reference, from the view of any one of them [1]. [Pg.678]

It is possible to find in the history of science many vivid examples illustrating the relativity of the concept fundamental . For instance, the Planck postulate of energy quantization and the Bohr postulate on the quantization on angular momentum made a revolution in physics and were actually axioms at that time. At present from the formal viewpoint, they are only ordinary consequences of Schroedinger s equation [4], Another vivid example is provided by the four famous Maxwell electrodynamic equations which, as was found later, can be derived from Coulomb s law and Einstein s relativity principle [5]. [Pg.140]


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