Sunday, June 23, 2019

I have submitted a corrected replacement for arXiv:0619.04446v13

As I mentioned in my previous post, https://arxiv.org/abs/1609.04446v13 has a fatal sign error in Section IIB that seems to negate the assertion of the paper that time-advanced electromagnetic fields cause forces that are of opposite sign to the Lorentz force in retarded fields.  However, I believe I have recovered the original assertion in spite of the sign error, and have uploaded a new version that explains how.  The new version won't post on arxiv until Tuesday morning, but I placed the arxiv submittal pdf on Academia https://www.academia.edu/36766974/Spin-Spin_Coupling_as_the_Origin_of_Atomic_Binding_revised_23_June_2019_arXiv_v14_ and ResearchGate. 

So, v13 had a sign error that caused a result that electrodynamics must be anti-symmetric under sign inversion rather than symmetric as is widely (correctly) believed.  (The new version, which will be v14 when it appears, has a corrected section IIB which obtains the correct result.)  After going through the corrections, and thinking about it for a couple of days, I realized that symmetry under time inversion is not the applicable condition to apply to the question of what is the sign of the Lorentz for a forward-time observer of a charge in an advanced EM field. Time-symmetry means that the Lorentz force is invariant to inversion of the time coordinate, but this only says the the retarded force in the forward time frame has to be identical with the advanced force in the time-reversed frame.  It doesn't say what the time-advanced force has to be in the forward-time frame, and nobody knows what the retarded force is in the time-reversed frame.  But, the sign of the advanced force in the forward time frame can be got at by looking at the phase of an advanced wave returning to an oscillating charge from a charge re-radiating due to the retarded field of the oscillating charge. Wheeler and Feynman first recognized that if the outgoing retarded wave is absorbed, then the advanced wave will cause an opposing force that can be equated with the radiation damping force.  What I did was consider a non-absorbing charge (with no damping applied) and show that it will create the opposing force if the Lorentz force is assumed for the advanced interaction.  This is a contradiction with known physics, so the advanced wave must cause a force that is opposite the retarded Lorentz force.

When this link https://arxiv.org/abs/1609.04446 says v14 it will be the revised version, but that won't be until at least Tuesday morning GMT. 

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