The thorny way of truth - Free Energy Community

,forcesLorentz's Formula (6) implies only repulsive forces between similarcharges. However, Formula (5), implies attractive as well ssirepulsive forces which may look as strong compressive or explosiveforces in strong currents in high density electrolytes or plasmas,containing fast moving charges. In a high density current, several:charges move side by side, parallel to one another. Let us considertwo of those charges. Suppose, they are two electrons, moving insuch a way, that v.sv.^v, qj=q,=e, with a) r.- perpendicular to theirvelocity v, and b) r,. parallel to their velocity v. In case (a),V and r.- perpendicular, Formula (5) and Formula (6) reduce*•respectively to:i i i iF,2 = r,2(eVr,p(i-2vVc^) 7.Fjj = rjjjeVrjjbd-v^/cb 8.In case (b) , v and r., parallel. Formula (5) and (6) reducerespectively to:i i i iFj2 = r,2(eVrjp(lV/c^) 9.Fj2 = rj2(eVrj2^) 10.The cardinal law based Equations (7) and (9), differ from theLorentz Equations (8) and (10). However, for forces caused byclosed circuits, the closed circuits integrals of Equations (7) and(9), produce identical results to those of Equations (8) and (10).This should not surprise us. What may surprise us, however, are thebetween individual charges. In a high current densityplasma, i.e., an arc, the Lorentz forces. Equation (8) and (10),are repulsive. However, the cardinal forces (7) and (9) are morecomplex. The force based on Equation (7), is, first, repulsive forlow velocity similar charges, (v < 0.707c = c//2 ), and second,attractive for high velocity similar charges (v > 0.707c). Theforce based on Equation (9), is always repulsive. Both the cardinallaw forces based on Equations (7) and (9), have unique features.According to Equation (7), repulsion may turn to attraction, whensimilarcharges suff icient ly accelerate , and vice versa, attractionay turn to repulsion when the charges sufficiently decelerate.These features readily explain violent lateral explosions in arcs^and other relevant phenomena. For example, suppose, a high densitybeam of electrons travelling at a sufficiently high speed. Then,according to Equation (7), the electrons are compressed. After awhile they reach a metal anode and vigorously decelerate, due totheir collisions with the metal. The resulting strong repulsiveforce, produced by the dominating coulomb term of Equation (7),then, appears as a strong lateral explosion of the beam ofelectrons. Thus the cardinal law of Ampere seems to explain thesel f-focusing( ) of sufficiently fast electron beams; theexplosions and high pressures in water arc guns, and otherphenomena, described by Graneau( ). There is only one questionleft. Is there enough acceleration in a water arc for the chargevelocities to surpass the 0.707C limit, and produce the necessaryinitial attraction-compression. The answer is yes. To achieve a