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More on Quantum Spin

Posted on Saturday, July 21, 2007 at 10:17AM by Registered CommenterDoug | CommentsPost a Comment | References1 Reference

Note: I originally posted this as an addendum to the previous post below, but decided to make it a separate entry instead.

I finally got to sleep. Now that I’m rested, I have the energy to make a graphic to illustrate the point better. In the figure below, you can see that the key is understanding the difference between the two representations of the reciprocal groups.  Historically, the oscillation of two springs, 1800 out of phase, has been interpreted in terms of the sine and cosine, the discrete group. The oscillation of one spring is mapped to the sine function of the angle of rotation, while the other is mapped to the cosine function of the angle of rotation, but, now, we can see that this hides a very important fact: The duality of operationally interpreted RNs provides for a reciprocal interpretation of the magnitudes involved.

Since the continuous group is the inverse of the discrete group, like the “young lady” | “old lady” picture, while the two magnitudes of the spring oscillations can be mapped to the discrete group, they are actually not magnitudes of the discrete group, but magnitudes of the continuous group. Therefore, the two oscillations are equivalent to a total 7200 of rotation, mapped to 3600 by virtue of the fact that the inverse relationship of the discrete and continuous groups are not recognized!  Well, until now that is. You heard it here first, folks!

 

 RST%20Spin2.jpg

Figure 1. Explanation of Quantum Spin’s “Inexplicable” 7200 “Rotation”

Of course, I’m not exactly putting on my tuxedo, because there is this huge gulf between the LST community, and the RST community, that will prevent any invitation to Stockholm, during my lifetime. However, I want to take this opportunity to publically thank a most generous and kind man who has believed in me and supported this work from the beginning.  His name is Jesse Grier, and if it weren’t for him, and his unflagging support, this moment would have never arrived.

Thank you Jesse.

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