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C4CM
Section Five


Singularities
___

23. Poincare Sections
24. Linear Algebra
25. Optimal Controls
26. Potential Theory
27. Envelope Curve
28. Vibrations
29. Time
30. Uncertainty
31. Quantum
Chemistry
32. Fractal Theory
TAB 31
Quantum Chemistry Logo
QUANTUM CHEMISTRY

Chemistry is fundamentally statistics - e.g. the electron cloud plots are nothing more than probability distributions and tell you nothing more than a cloud tells you about any single particle of water vapor inside of it.

The problem is that angular momentum is not represented mathematically correct in analytical chemistry. They use the "angular momentum vector" to talk about electron spin and other phenomena. However, angular momentum is not just a vector when considered in the context of orbital motion, but also a plane. You cannot have one without the other.


Moon's orbit as a halo orbit around a L6 Lagrange Point

Moon's orbit as a halo orbit around a L6 Lagrange Point

This is a dilemma because there is no clear orientation in the Schrodinger distributions, as is expected for any determination based upon the angular momentum vector. In fact, there should be a whole series of orientations for the nested cloud plot patterns, but all are absent or nowhere accounted for. This is a dramatic flow in theory, but perhaps the fluxion hierarchy can resolve the problem.

Consider the three phase AC current generated in a rotor with three masses oriented as on an equilateral triangle.

Fractal Geometry in the Three Body Problem

The stable points for these three masses are all located on an exterior circle, as shown. Increase the separation of M3 and the circle is broken, but the continuum of Lagrange points is retained at first and the circle warps into an ellipse, then a Lissajous curve, and finally into a helix. There are twelve "critical points" or "anchors" just like the Earth moon (twelve cylinder rotary aircraft engine) depicted previously.

Operating the twelve phase motor between charged plates allows directional control of the helical waves, as indicated. ( 14 ) The rotating three phase rotor creates an EM wave. The symmetry of the L2 Lagrange points induces a system attractor in the center - gravity - which is the axis of propagation of the wave in free space. A non dissipating laser. Reverse the polarity of the plates and you have a tractor beam. Organize it all around a three dimensional superstructure, and you have warp drive.

Conceptual Design of a Constellation Class Starship

Conceptual Design of a Star Trek Starship

One final note about the peculiarities of the moon's orbit. There still seems to be no clear reason why the moon rotates 1x/orbit so that the same face is toward the Earth at all times. Perhaps this is because it's new to the solar system, and is still in "capture" mode or it's so situated because it was formed quite recently from out of the cosmic cloud, or from the cloud of a disintegrating planet in the vicinity whose larger particles are the asteroid belts. Or maybe the action of the L6 Lagrange Point causes this, as with Mercury ( 3 ); almost.

Conceptual Design of a Constellation Class Starship


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© 2004 WH Clark