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Posted by on Feb 13, 2015 in Quantum Mechanics Research | 3 comments

G. Structured Spin

The new algebra has two time variables and two spatial variables. The spatial variables give the 2D Dirac equation and finds the new spin operators as Lorentz Invariants. Besides the usual linear time, the new time is quite different, being a rotational or phase time. Since spin now has structure, it can precess relative to spins in different inertial frames. Hence it plays the same role for angular momentum that linear time plays for linear momentum.

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Posted by on Jan 24, 2015 in Quantum Mechanics Research | 3 comments

F. My Black Swan

The book called The Black Swan by Nassim Nicholas Taleb finds many events are unpredictable and occur suddenly, and therefore have a large impact on our lives and thinking.  All swans in Europe were white, leading to the paradigm that all swans are white. However the discovery of one black swan in Australia,  changes all this leading to a new paradigm about swans.  Black Swan events in history, geopolitics and science often occur ; they are unpredictable, they have a large impact, and they are usually only explained after the observation. Basically Taleb believes that our lack of knowledge is as important as our knowledge. If we know too much, then we make predictions which are usually a continuation of our present history.  We really cannot predict: the stock market, world wars, epidemics, down to a sudden illness or a personal crisis: all are black swans.  They can indicate either positive of negative events, but in all cases it is their suddenness that takes us by surprise and only then can we start to deal...

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Posted by on Jan 18, 2015 in Quantum Mechanics Research | 0 comments

E. 2D Dirac Equation and Spin

One therefore has a choice. Accept usual spin that leads to entangled states and a non-local and indeterministic foundation of Nature. Alternately, you can choose the 2D structured spin which gives both a local and realistic view of Nature. Experimentally, the two cannot be distinguished and so the treatment here is not inconsistent with any experimental results.

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Posted by on Jan 14, 2015 in Quantum Mechanics Research | 0 comments

D. A Dirac equation for mirror states

That is, these two states are reflections of each other, see the figure, The operation of reflection via P13 changes one state into its mirror image. This is exactly the property sort by Yang and Lee to solve the fact that parity is not conserved for the electro-weak force. Using their example, if cobalt atoms undergo beta decay, and you watch it in a mirror, then the magnetic moments are not reflected, and so parity is violated.

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Posted by on Dec 6, 2014 in Quantum Mechanics Research | 0 comments

C. A Different Dirac Algebra

But two times? The first is the usual linear time that differs in different inertial frames. The second is a rotational time which rotates in the plane of the 2D flat space. This is a phase time or a frequency and accounts for the different relative rotations of 2D objects in different inertial frames.

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