Thanks for checking this note. It uses Eq. (52) and the rule for the triple cross product:
kappa x (kappa x B) = kappa(kappa dot B) – kappa squared B
kappa x E = – kappa0c B
Sent: 01/01/2016 23:20:29 GMT Standard Time
Subj: Re: 336(4): The Aharanov Bohm Vacuum in ECE2
How did you derive eq. (53)? Was it with help of (44)? Where did the cross products go?
Am 27.12.2015 um 15:11 schrieb EMyrone:
This note defines the Aharonov Bohm (AB) vacuum in ECE2 as Eq. (8). Therefore the well known Chambers experiment can be explained using the new idea of a vacuum vector potential A(vacuum), which exists in regions where there are is no charge current density, and no electric and magnetic fields. Therefore there should exist electron spin resonance and nuclear magnetic resonance in the absence of a magnetic field, ESR and NMR caused by curl A(vacuum). The Aharonov Bohm vacuum is different from the vacuum in which electric and magnetic fields propagate. The ECE2 kappa vector needed to define the latter type of vacuum is calculated and given in Eq. (51). The AB effects are defined in ECE2 by Cartan geometry. The AB effects, phase effects and Aspect experiments were first addressed in ECE in its early stages. Now we progress to ECE2.