# Download Advanced Vector Analysis with Application to Mathematical by C.E. Weatherburn PDF

By C.E. Weatherburn

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In 1910 his Lehrbuch der Elektrizitat und des Magnetismus {Textbook of Electricity and Magnetism) [58] was published, which contains references to special rel ativity but nevertheless very energetically insists on the need in physics for the ether concept and the electromagnetic field conception of the physical world. At the same time, he was an opponent of the explicit mechanistic interpreta tion of the ether. He regarded material particles, above all electrons, as certain THE ELECTROMAGNETIC PROGRAM FOR THE SYNTHESIS OF PHYSICS 27 ether configurations, certain "knots" in the ether, the nature of which must be clarified in the subsequent development of the theory.

In the January paper quoted above, Einstein derived an expression for the fluctuations of the light pressure on a mirror of area / placed in a cavity filled with thermal radiation. Einstein found that the mean square momentum A 2 transferred during time r could be represented in the form A2 = - ( ^ p y + ^ c\ I ) d y . / . r , (2) STTV1/ where p is the energy density of the radiation at frequency v, and c and h are the speed of light and Planck's constant. The second term of this expression 8 It is appropriate here to recall the quasicorpuscular solutions of certain nonlinear wave equations of the Korteweg-de Vries or the nonlinear Schrodinger types.

I also no longer attempt to construct them, since I now know that I am not equal to this task. ([56], p. 17 of the Russian translation) On June 21, 1911 he sent to the Annalen der Physik the paper "On the influ ence of the force of gravity on the the propagation of light," which opened a new cycle of investigations by Einstein on gravitation that was completed in November 1915 with the creation of the foundations of the general theory of relativity [38]. As McCormmach, whose fundamental study "Einstein, Lorentz, and the electron theory" we have widely used in this section, correctly notes, the expe rience acquired by Einstein in constructing a unified field theory in the period 1908-1910 proved to be a very valuable support in developing a relativistic theory of gravitation, in particular in solving the problem of the equations of the gravitational field.