Download Relativity, Thermodynamics and Cosmology (Dover Books on by Richard C. Tolman PDF

By Richard C. Tolman

ISBN-10: 0486653838

ISBN-13: 9780486653839

This landmark examine via a extraordinary physicist develops 3 very important issues: a coherent and inclusive account of Einstein’s thought of relativity; the extension of thermodynamics to important and normal relativity; and the purposes of relativistic mechanics and relativistic thermodynamics within the development and interpretation of cosmological types.

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Additional resources for Relativity, Thermodynamics and Cosmology (Dover Books on Physics)

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21. Correspondence of four -dimensional treatment with the postulates of special relativity To complete our consideration of the geometrical four-dimensional method of treating the special theory of relativity, we must now point out its correspondence with the two postulates of the special theory. This is an extremely simple matter. In accordance with the discussion of § 5 the first postulate of special relativity will be satisfied if the laws of physics, in the absence of gravitational action, are the same for all observers in uniform relative motion.

3) we note, in contrast to geometries where the signature is equal to the number of coordinates, the possibility for more than one kind of interval, depending on the relative magnitude of the spatial and temporal components. In the present case we shall call the interval 32 THE SPECIAL THEORY OF RELATIVITY § 16 apace-like, time-like, or aingular according as dx2+dy 2+dz2 is respectively greater than, leBa than, or equal to c2 dt 2• In the case of a space-like interval, a Lorentz transformation to so-called proper coordinates can always be found (see§ 18) which will reduce the temporal component to zero, so that we can regard the magnitude of a space-like interval as physically determinable by comparison with a.

H we allow an imaginary transformation of coordinates the signature of the quadratic form will be changed but the distinction between coordinates can then be determined if we know their real or imaginary correlation with the physical process of counting off division points along the actual axes. 2) with a change in signature to plus four. In accordance with this simple form, the geometry used in special relativity is often spoken of as that of a four-clin1ensional Euclidean (flat) space. 2) has also been used with the idea of simplifying the mathematical treatment.

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