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The thorny way of truth - Free Energy Community

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- 60 -DE L'ACADEMIE DE PARIS, vol. VI, 1823), however I could come neither to the originalpublication nor to some later publication <strong>of</strong> this paper. <strong>The</strong> deduction <strong>of</strong> this formulawhich Maxwell gives in his "TREATISE" (§§ 502-507) is atrocious . And I am surethat if one should ask some <strong>of</strong> the defenders <strong>of</strong> Ampere's formula, how physically hasone to deduce this formula, NONE <strong>of</strong> them will be able to do this.I consider as the best mathematical deduction <strong>of</strong> Ampere's formula the deductiongiven by Wesley (PROGRESS IN SPACE-TIME PHYSICS 1987, p. 199) when proceeding fromthe Weber potential energy <strong>of</strong> two electrical charges moving with a certain velocity onewith respect to the other. This deduction is given also in the paper <strong>of</strong> Pr<strong>of</strong>. D. Spencerpublished in this volume.<strong>The</strong> physical deduction <strong>of</strong> Grassmann's formula is based on a complex <strong>of</strong> experimentalfacts which have been crystallized in the assumptions (A), (B) and (D) givenIn my letter to Pr<strong>of</strong>. Wesley <strong>of</strong> the 20 June 1990 (published in this volume).<strong>The</strong> mathematical deduction <strong>of</strong> Grassmann's formula when proceeding from the Neumannpotential energy <strong>of</strong> two electric charges moving with teir respective absolute velocitiesis given in TWT-II, p. 82.I leave the physical deduction with which Grassmann comes to his formula to my readers'teeth.At the end I should like to turn my readers' attention to the two arguments in §3<strong>of</strong> Grassmann's paper against Ampere's formula.<strong>The</strong> first argument was already discussed on p. 91 <strong>of</strong> TWT-II.Here I shall cite the second argument:Denn bei alien anderen Kraften sind es urspriinglich punktartige Elemente, d.h. Elementeohne bestimmte Richtungen, welche aufeinander wirken, und bei diesen laBtsich die Notwendigkeit der gegenseitigen Wirkung langs ihrer Verbindungsliniesogar a pfU<strong>of</strong>U ableiten; was berechtigt uns aber, diese Analogie auf ein ganzfremdartiges Gebiet, auf welchem die Elemente mit bestimmten Richtungen begabtsind, zu Ubertragen?On the other hand, however, if assuming that the forces with which two current elementsact one on another are not equal and oppositely directed along the line connectingthem, one comes to a conflict with Newton's third law. And we know well that Ampere deducedhis formula proceedings from four experimental facts observed by him (which untilthe present day remained valid - see them described in Maxwell's "TREATISE" §§ 505-508)and one theoretical assumption ; Newton's third law. But this theoretical assumption,although being canonized by the genius <strong>of</strong> all times, Newton, turned out to be wrong forthe case <strong>of</strong> interaction between current elements (as I showed in EPPUR SI MUOVE andCLASSICAL PHYSICS, Newton's third law is valid for the full forces m + qdA/cdt butnot for the forces mu, where u is the acceleration <strong>of</strong> the mass m whose electric chargeis q and A is the magnetic potential generated by the surrounding system at the point<strong>of</strong> its location).

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