Authors: Jay R. Yablon
It has long been believed that to avoid unphysical observable string singularities, Dirac monopoles must be quantized in whole integers according to the Dirac Quantization Condition 2eg=n, where e and g are the electric and magnetic charge strengths respectively, and n is an integer. This is in fact true if the electron wavefunction is not rotated while it traverses a single complete 2π circuit about the monopole. But it is also well-known that when a spinor undergoes a rotation through 2π, the sign of that spinor is reversed yielding an opposite “version” of that spinor, and that the original sign and version are only restored after a 4π double rotation. Consequently, it is shown here that when an electron wavefunction is rotated in a tidal lock with the monopole during a single 2π circuit, and specifically due to the version change that occurs because of this tidally-locked rotation, to avoid unphysical singularities the Dirac condition must change from the usual whole integer condition to a half-integer condition 2eg=n-½. It is also shown how these half-integer charges would only be detectable by electrically-charged fermions, not bosons.
Comments: 19 Pages. v2 contains a new section 7 showing how the half-integer monopole charges would only be detectable by electrically-charged fermions, not bosons.
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[v1] 2015-11-17 16:46:44
[v2] 2015-11-27 19:36:32
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