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The thorny way of truth - Free Energy Community

The thorny way of truth - Free Energy Community

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• w-AMPERE'S CARDINAL LAW IN EXPLAINING VIOLENT WATER ARCEXPLOSIONS VERSUS MAGNETIC POTENTIALDr. P.T. Pappas,Pr<strong>of</strong>essor <strong>of</strong> Mathematics,Pr<strong>of</strong>essor <strong>of</strong> Physics,Marcopulioti 26, Athens 11744, Greece.<strong>The</strong> alpha-torque hypothesis <strong>of</strong> Peter Graneau was presented inthe June 1989 issue <strong>of</strong> E&WW. This hypothesis was purported toexplain a series <strong>of</strong> effects unexplained by classicalelectrodynamics, i.e., violent wate-r arc explosions. Graneau ' 9alpha-torque hypothesis is an extension <strong>of</strong> the old concept <strong>of</strong>Neumann potential, based on Ampere's cardinal law forelectrodynamic forces between currents. <strong>The</strong> cardinal law for twocurrents I., I,, can be written usin^ vector notation:Fj2 = -kr,2(l,lj/rj2bl2dsj-^dsj - (3/r,2^) (dSjTjjXdSjTjj) 1*1.where r. ,r, being the vector radii to I., I-; ^n"'*!"'*?' ^12 ^^^^^ ^^®force on I, by I,; and k being a coefficient depending on theunits(^).Graneau assigns to this law a "potential" function which in MKSAunits is given as:APj = -(jiQ/4n)I^Ijj(dmdn/r^jjj|)[ (0.5cose-l .5cos(2 +e)J 2.Graneau assumes that the principle <strong>of</strong> virtual work is valid forthis "potential". However, by differentiating with respect to allthe variables involved, he finds not only the original cardinalforce, but also two extra torque forces, namely the epsilon andalpha torques. <strong>The</strong> prime objection to the Graneau method arises^from the minimum mathematical requirement for applying theprinciple <strong>of</strong> virtual work. This minimum requirement is conservation<strong>of</strong> energy for the potential function. This is not shown by Graneau,nor can it be shown, because "potential 2", as an inverse distancelaw multiplied by an angle function, is not energy conserving.However, this deficiency is a major one, associated also with every"magnetic potential" definition. Indeed, as an example, we mayrefer to the fact that a "magnetic potential" can not determineconsistently the energy <strong>of</strong> the following two identical cases. <strong>The</strong>energy <strong>of</strong> a pair <strong>of</strong> two similar permanent magnets, as compared tothe energy <strong>of</strong> a pair <strong>of</strong> two similar coils, supplied with constantcurrents and generating magnetic fields identical to the magnets.<strong>The</strong> energy <strong>of</strong> the interacting coils is assumed to be supplied bythe voltage sustaining the currents. However, for the case <strong>of</strong> theequivalent permanent magnets the interacting energy is assumed tobe taken out from the magnetic potential <strong>of</strong> the fields themselves.It is obvious that for the two cases <strong>of</strong> pair <strong>of</strong> fields, assumedidentical, the same potentials are assumed different for the energytransactions. If a consistent magnetic "potential" existed, itshould have provided an identical description <strong>of</strong> the energytransactions for the magnets and coils. This inherent weakness,

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