Mobius Strip
A Mobius Strip is a strip of paper, formed into one loop, with one twist of 180 degrees.
(For those who know what a Mobius strip is, the first will be elementary. But will have a few twists as we go along... a pun maybe?)
As in Fig - 33... Cut a strip of paper as shown in the top rectangle, about 10 inches, by one inch. Draw a solid line down the center of one side of your strip, as in the middle rectangle. Now draw a dashed line down the center of the other side.
The left object In Fig - 34 is a plain loop of the paper we cut out and marked. The solid line loops to meet itself and the dashed line does the same. The figure on the right is a Mobius Strip. It is the same strip of paper looped and fastened with a 180 degree twist. If you follow the lines drawn, it takes twice around to get back home.
Now we get past the basic Mobius Strip... Imagine this strip a collapsed tube or hose. In Figure - 35 I have given this tube some dimensions to make it interesting. The length of the tube is pi. The diameter is 1. Thus the circumference of tube is also Pi.
In Figure - 36 I have twisted the tubing 180 degrees. The dimensions a shown as it in a flat plane.
In Figure - 37 I have taken the blown up tubing with lines drawn on the sides and formed it into a Torus or ring. The center line length is pi. The Cross sectional diameter of tubing remains at 1. The outside circumference dimension of the ring is 2 pi. The inside circumference of the ring is zero, 0. The centerline is pi. There is a top and side view depicting the path of travel for the solid and dashed lines we marked prior. This can be easily demonstrated with a Slinky or spring, and is interesting to watch as it is rotated into itself.
I have read Quantum Mechanics books, and the bottom line for me is: no-one knows how the electron actually moves within the atom. The orbiting theory I was taught in school is still used, but... for the heavyweights on quantum theory... orbiting electrons has been abandoned. There also has been mention, the electron may oscillate as it orbits... But, my background is in electronics, and this seems out of line. A sinusoidal wave has equality above and below a zero reference horizontal line. If the standing wave is curved, as in an orbit, the frequency may be maintained, but the inside half waves be contracted while the outside half waves would be expanded, resulting in an imbalance that would seem not to sustain a standing wave scenario.
It is just a wild guess, a supposition, but has anyone thought about the electrons orbiting in a ring fashion that is revolving about its own orbit path, as well as orbiting the nucleus of an atom? This would be like a wire with a standing wave frequency present, but with a 180 degree twist... Over active imagination, I guess, but what are the alternatives?
