By Carver A. Mead
Carver Mead deals a notably new method of the traditional difficulties of electromagnetic idea.
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Extra info for Collective Electrodynamics: Quantum Foundations of Electromagnetism
10) Eq. 10 is valid for any A; it is not limited to the A from the current in the coil itself. The integrals in Eq. 1 Carver A. Mead Aug. 11) The concept of energy density will be developed in greater depth in Part 3 (p. 49). 5 Integral and Diﬀerential Forms Ernst Mach, the great master of classical mechanics, commented on the power of an integral law of interaction (p. 323 in Ref. 27): It cannot be denied that when we can command all the phenomena taking place in a medium, together with the large masses contained in it, by means of a single complete picture, our concepts are on an entirely diﬀerent plane from what they are when only the relations of these isolated masses as regards acceleration are known .
This slip dealt the discipline a severe blow from which it has yet to fully recover. In 1865, Maxwell showed solutions for the vector potential that propagated at the velocity of light, and he asserted that light is an electromagnetic phenomenon. He took this result as strong evidence for the existence of an ether: In several parts of this treatise, an attempt has been made to explain electromagnetic phenomena by means of mechanical action transmitted from one body to another by means of a medium occupying the space between them .
It thus appears possible to formulate a uniﬁed, conceptually correct introduction to both the quantum nature of matter and the fundamental laws of electromagnetic interaction without using either Maxwell’s equations or standard quantum formalism. 1 29 This page intentionally left blank Carver A. Mead Aug. 1PA3F) DRAFT Part 2 Propagating Waves Now we are unable to conceive of propagation in time, except either as the ﬂight of a material substance through space, or as the propagation of a condition of motion or stress in a medium already existing in space.
Collective Electrodynamics: Quantum Foundations of Electromagnetism by Carver A. Mead