By Carver A. Mead
Carver Mead deals a noticeably new method of the traditional difficulties of electromagnetic concept.
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Additional resources for Collective Electrodynamics: Quantum Foundations of Electromagnetism
M. 1 Model System Our model system, shown in Fig. 1, is a loop of superconducting wire—the two ends of the loop are collocated in space and either shorted (a), or insulated (b), depending on the experimental situation. Experimentally, the voltage V between the two ends of the loop in Fig. 1) Two quantities are deﬁned by this relationship: Φ, called the magnetic ﬂux,3 and L, called the inductance, which depends on the dimensions of the loop. 1 In Ref. T. Jaynes puts forth a delightful argument for the approach I have adopted in this monograph.
Lorentz derived his result independently, but in 1909 referred6 to Voigt’s paper: which to my regret escaped my notice all these years. The idea of the transformations used above might therefore have been borrowed from Voigt, and the proof that it does not alter the equations for the free ether is contained in his paper. In his famous 1905 relativity paper (51), Einstein put forth his thesis: failure of attempts to detect a motion of the earth relative to the “light medium,” lead to the conjecture that not only in mechanics, but in electrodynamics as well, the phenomena do not have any properties corresponding to the concept of absolute rest, but that in all coordinate systems in which the mechanical equations are valid, also the same electrodynamic and optical laws are valid, as has already been shown for quantities of the ﬁrst order.
Pp. 237–263, in 1867, after the death of the author, Bernhard Riemann deduces the phenomena of the induction of electric currents from a modiﬁed form of Poisson’s equation d2 V d2 V 1 d2 V d2 V + + + 4πρ = dx2 dy 2 dz 2 a2 dt2 where V is the electrostatic potential, and a a velocity. This equation is of the same form as those which express the propagation of waves and other disturbances in elastic media. The author, however, seems to avoid making explicit mention of any medium through which the propagation takes place.