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Volume 12: Pages 153-161, 1999
The Derivation of a New Gaussian Equation for the Force Between Moving Charges from Fundamental Postulates
Parry Moon 1, Domina Eberle Spencer 2, Philip J. Mann 2, Arjan S. Mirchandaney 3, Uma Shama 4
1Massachusetts Institute of Technology, Cambridge, Massachusetts U.S.A.
2University of Conneticut, Storrs, Connecticut U.S.A.
3Defiance College, Defiance, Ohio U.S.A.
4Bridgewater State College, Bridgewater, Massachusetts U.S.A.
The paper presents a new equation for the force between moving charges. This is the second equation we have developed that satisfies both the Gaussian criteria: that the force must be a function of relative velocity and must include the fact that light is transmitted at a finite velocity. Since a recent paper has proved that the universal time postulate must replace Einstein's postulate on the velocity of light, this simpler postulate is employed. The new equation uses a simple modification of the Neumann definition of the electromagnetic field in terms of a scalar and a vector potential.
Keywords: electromagnetic field, electric potential, magnetic potential, force between moving charges, velocity of light, classical equation, new Gaussian equation
Received: September 2, 1998; Published online: December 15, 2008