Amazing roll of the electron in space

From BNE

On our eternal quest to understand 'Who am I?', I built a model of three dimensional space as described in Milo Wolff's book 'Exploring the Physics of the Unknown Universe' page 77. (see attached photo) showing that a sphere can rotate 360 degrees without entanglement of three dimensional space.

After a bit of fiddling I understood what Milo means, and in the process uncovered some fascinating discoveries.

1. While a single point A on the 'surface' of the sphere can rotate 360 degrees on a full circle, in order to do this it has to deform three dimensional space. In the case of the model, the rubber bands (space) are variously stretched.

2. Say we assume we take point A that does a 360 degree full circle is in the XY plane as defined by the horizontal wooden cube structure plane. Let us assume the sphere has a single unit radius. At the start of the 360 degree rotation of the selected point (we have to deform the rubber bands to start), another point B will be at x=0 y=0 z=1 with the origin measured from the centre of the sphere. ie. the point B will be at the 'top' of the sphere.

If you follow the trajectory of this point B you finds out something extremely interesting. Looking from above by the time point A has done 180 degrees rotation around a full horizontal circle, point B has 'rolled' through a graceful curve to z=-1 (minus 1) and then 'rolls' through another curve back to z=1.

The interesting thing is if you watch this from above, the movement of the point B forms a 'double butterfly wing' shape reminiescent of the 3 dimensional energy shapes of the electron in a hydrogen atom. ( see www.falstad.com ). You can see this 'double butterfly wing' shape drawn on the paper on the desk under the sphere.

A lot of fascinating thoughts occur when witnessing this movement, some of which are:

a) What if space (the rubber bands) did not distort when point A moved in 360 degrees in a full circle but the surface of the sphere did the distortion. What shapes (potentials) would we end up with?

b) Is what we're imagining as different quantum structures and wave forms (nucleus, electrons) in fact one wave form with amazing variations as described in 2 above.

c) It would be great for someone to mathematically solve this model of spin for all points on the surface of the 'sphere' in three dimensional computer graphics, using various definitions of what's distorting and what's not, eg. the spherical surface or space.

Who knows, it might be a big breakthrough?

Love and peace,

Solmil

[_pw9_]

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