Authors: M. Singer
All forces in the universe are created from changes in energy levels that result from changes in the separation of bodies, whether electromagnetic or otherwise. Even when particles are constrained so that they cannot expend the energy giving rise to those forces they still experience them. For the force to exist the energy system creating it must exist, even if only in potential. We examine the second part of the Lorentz Force Equation, which looks at the forces experienced by an electron travelling through a fixed magnetic field. Here there is a transverse force on the electron normal to the direction of travel, and the electron’s path is deflected into a curve, with no expenditure of energy. However, the existence of the force still requires an energy mechanism and this paper sets out to identify it. There is no gradient in the electric field induced by the electron’s motion through the magnetic field, so the energy is the same at all positions of the electron in the magnetic field, and hence there is no potential energy well to be tapped to create forces. There are enough clues to reach a sound conclusion, such as the fact that a neutron, with a bounded electric field, is not deflected, whereas an electron, with an infinite electric field, is deflected. With an energy mechanism clearly defined, we find that the Lorentz Force Equation fails to take an important aspect of geometry into account.
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