The Theory of Relativity

Cover The Theory of Relativity
The Theory of Relativity
Ludwik Silberstein
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DYNAMICS OF A PARTICLE.
THE importance of the study of world-vectors or of physical quaternions for relativistic investigations is obvious. For, if the form of the laws of physical phenomena is to be preserved by the Lorentz transformation, they can involve besides the time and the coordinates, and, of course, besides any invariants, only such sets of magnitudes which, caeteris paribus, bear in any of the legitimate systems the same relations to its time and coordinates as in any other of such
...systems. Therefore, physical quaternions (or whatever mathematical form we may choose for tetrads of magni- tudes transformed like /, x, y, z and of sets of magnitudes derived from them) constitute, as it were, the building material of the modern relativist. And what is most important to keep in mind, is that he cannot use any other material. For if he did, he would be sure to infringe against the fundamental principle of the whole theory.
To try to describe in a few abstract sentences the way how this material is procured and how it is used, would be a vain attempt.


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