Authors: Michael Singer
If we need to find the total electric field vector from multiple charges at a point in space we add the vectors to get the resultant vector. When we do this for two electrons near to each other we find that the field vectors oppose in a region between the electrons. This tells us that there is partial field cancellation there. Field cancellation reduces the field energy density leading to attractive forces in this region. With two electrons the net effect of all of space is one of increased energy density and hence net repulsion, so the attractive forces in the region between the electrons is overcome by greater repulsive forces elsewhere. However, with the bounded electric fields of neutrons this attractive region dominates over a limited region leading to first attractive then repulsive forces as the neutrons approach closer and closer to each other. This suggests in turn that the Lorentz Force Equation is limited to particles whose electric fields are not truncated but extend to infinity.
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