Relativity and the Electron Theory
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1915 edition. Excerpt: ...of dynamical quantities that we are bound to treat it as relative. In order therefore to obtain the required relations we must adopt the same method as that used above in respect of space and time, and consider the measures of these quantities in the light of the laws in which they occur, the laws which express the uniformities which we believe on experimental grounds to hold between electrical phenomena. These laws are the equations of the electro-magnetic field. We will take them in the form adopted by Lorentz, l namely, 1 /de 7Vi; + 'HV = curlh-. l o = divh.. II-.----= curie.. Ill c H p = dive. IV where e and h are the electric and magnetic intensities, and p is the density of charge. The fifth equation of Lorentz's theory, F = e + uh/c where F is the 'mechanical force' per unit of charge moving with velocity u, will supply us with a means of connecting up with mechanical theory, but gives us no criterion about the purely electrical magnitudes, the mechanical categories now occupying a derivative place. 41. The Invariant Form Of The Fundamental Equations. The first thing that may be noticed about the form of the equations I-IV, is that if we change the scale on which we measure e and h, we alter the scale on which we measure p in the same ratio. Thus it becomes possible to limit the consideration to such changes of the variables as leave the charge carried by any particular element of volume unaltered. 1 The units here used are those of Lorentz. See "Theory of Electrons, ' Leipzig, 1909, p. 5. The fundamental hypothesis of electrical theory which takes the place of the Newtonian conception of 'conservation of mass' is that of 'conservation of electric charge'. We proceed to see, therefore, whether it is possible to make such changes in the...
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