Hey guys, nice to be here [

]

This is one of a few scenario's I was contemplating yesterday while on a trip.

Suppose you have a square sheet of rubber. This rubber has zero internal friction and perfect elasticity. Now, take two sides and join them, forming a cylinder. Take one end and start rolling it up so that you are turning it inside-out. When you have done a bit, give it a final yank and let go. This is done in a perfect vacuum with no external interference.

What will happen?

As I see it, it should keep on rolling until it is completely inside-out. But then I think it should continue (as a result of momentum) and

**keep turning itself inside-out perpetually**. The initial energy applied can't dissipate, so it has to keep on moving.

Now, imagine that in one oscillation, when the two open ends meet they fuse together, forming a torus.

What will happen to the motion then? I think a reference dot made on the inside of the torus should then move around in a circular motion around the outside and back to its original position, no?

Now on to a second and slightly more complex thought I had.

Suppose you have a skin enclosing a near infinite number of zero dimensional points. It would then simply be a single zero dimensional point. But let's say that each point can stray into any one of three dimensions at any time, forming a one dimensional string and then reverting back through the origin and into another dimension. The dimension it strays into is completely random. The degree to which it fluctuates, though, is determined by a probability curve. The smaller the fluctuation, the more likely it is. This probability curve might look something like a hyperbola, but with the symmetry being along the Y axis. The X axis would then be the vector degree of fluctuation (vector, as in it can fluctuate in any of two directions from the origin for each dimension) and the Y axis would be the frequency. Now, how would the volume look and behave now? It's size would be determined by the shape of the probability curve. The more likely larger fluctuations become, the bigger the volume gets. When only three dimensions are possible, the volume should average out into a cube, and if combination vectors are possible, it should average out into a sphere. If combination vectors are possible, it could statistically form almost any shape for an instant, given enough time. It could even form all kinds of shapes, or geometries, on the inside with varying density.

So how would the point sources fit together when the fluctuations occur? Does there have to be spaces in between? Would it still be able to have volume with no empty spaces in between? Each formed string should push away any adjacent strings, creating volume, no?

Now, what if we had an infinite number of point sources. Would shapes still be possible internally as density varies? How would the possible variety and frequency of geometries change between: (1)Only one of three vectors are possible at any one time, or (2)Combination vectors are possible?

What do you guys think? [?]