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On the Principles of Permissible Overunity EM Power Systems.doc
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Lorentz Arbitrarily Discarded All Overunity Maxwellian Systems

Lorentz found that enormous amount of energy—most of it missing the circuit and just wasted—to be very disconcerting!  It was perhaps irritating to him that we build such puny "intercepting and collecting" electrical power systems.  We build them with a laughable energy collection efficiency of some 10-13 or so (Figure 6).  Hardly something to brag about!

If the truth hurts, or the facts contradict something one feels absolute about, it is often buried with a non sequitur.  That is a human trait, and it applies to scientists as well as to lay persons.  In modern times it's called "spin control".

So Lorentz fixed the problem with a little scientific spin control!  He placed a little spherical surface mathematically around each element of those conductors, and integrated the EM energy flow vector around that surface (Figure 18).  Voila!  All the Heaviside energy flowmissing the circuit and therefore wasted, gets mathematically cancelled in that neat little mathematical trick { [53] }.  It is not canceled in thereal world, just in Lorentz's little mathematical trick.  The result of the Lorentz surface integration of the EM energy flow vector is that only the tiny Poynting component of that energy flow—the component that struck the surface charges and got diverged into the circuit, creating the Slepian vector jf, is retained mathematically and accounted.

            All the rest is just arbitrarily discarded.  It's "out of sight, out of mind!"  Now there was no necessity to explain the source of that startlingly large Heaviside nondiverged energy flow component, because "it didn't even exist anymore".

            Of course our instruments measure dissipation of energy.  They indirectly measure how much energy is diverged into the circuit and collected (intercepted) there, because they measure the energy dissipation from the circuit.  What is dissipated from an otherwise inert circuit must first have entered it.  The instruments measuring the circuit do not measure anything of the non-intercepted, nondiverged Heaviside energy flow that does not enter the circuit but remains outside it.

So Lorentz's trick does retain how much energy is intercepted, diverged into the circuit, collected on the electrons to power them, and dissipated in the loads and losses.  And that does match our instrumental measurements in the circuit.  However, that is not the total EM energy flow connected with a circuit, but only a small component of it.

Classical electrodynamicists dutifully continue to follow Lorentz's little trick and call that Poynting component the "entire energy flow".  Then they caution against thinking too deeply about the energy flow subject. [28]

            As a result of this faux pas by Lorentz, physicists are politely debating even today about just what the "Poynting" vector really is, and what it should be, and questioning whether it is really the Slepian vector, and so on. [29]   They've been quietly doing that in American Journal of Physics, e.g.,  for more than 30 years now.

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