Authors: Cliff Ellgen
Knot physics describes the geometry of particles and fields. In a previous paper we described the topology and geometry of an electron. From the geometry of an electron we can construct a mathematical model relating its charge to its spin angular momentum. From experimental data, the spin angular momentum is hbar/2. Therefore the mathematical model provides a comparison of electron charge to Planck’s constant, which gives the fine structure constant alpha. We find that using only electromagnetic momentum to derive the fine structure constant predicts a value for 1/alpha that is about two orders of magnitude too small. However, the equations of knot physics imply that the electromagnetic field cusp must be compensated by a geometric field cusp. The geometric cusp is the source of a geometric field. The geometric field has momentum that is significantly larger than the momentum from the electromagnetic field. The angular momentum of the two fields together predicts a fine structure constant of 1/alpha = 136.85. Compared to the actual value of 1/alpha = 137.04, the error is 0.13%. Including the effects of virtual particles may reduce the error further.
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