Saturday, December 04, 2004

The Elastic Nature?

As I have explained in a earlier link I am fascinated by the images of bubbles that were demonstrated through a way of thinking of the early universe to arise as Bubble Nucleation.

These images all show the 2-, 3-, 4-, and 5-fold eversions in the upper left, lower left, upper right, and lower right cornerse, respectively. First we see an early stage, with p fingers growing in the p-fold everion. Next we see an intermediate stage when the fingers have mostly overlapped. Finally we see the four halfway models. For p odd, these are doubly covered projective planes.

If we had understood the early universe to have this continous nature and not have any tearing in it, how would such rotations have moved according to some method, that we might have considered the klein bottle or some other concept, that would lend itself to explain some of the ways and means, such dynamics could have unfold, enfolded and everted in the actions of that same cosmo?

It would be very difficult to speak to probability statistics, if you did not envelope the possibilites in some kind of configuration, or compared it to a Dalton Board. The Bell curve, or the pascal's triangle to consider how something could arise in certain situations? Might we have called the basis for a "new math" to emerge? If we had come to accept the departue point for Euclid's fifth postulate then what has we encouter inthe dynamcial world of Gauss? Einstein includethese calculation in the evolving feature of GR, so how could we not see this developing of a geometry that would lead to smooth and topological considerations?

The statistical sense of Maxwell distribution can be demonstrated with the aid of Galton board which consists of the wood board with many nails as shown in animation. Above the board the funnel is situated in which the particles of the sand or corns can be poured. If we drop one particle into this funnel, then it will fall colliding many nails and will deviate from the center of the board by chaotic way. If we pour the particles continuously, then the most of them will agglomerate in the center of the board and some amount will appear apart the center.

UNderstanding then that such cosmological event could be unfolding in the universe, visually to me, these configurations had to follow some pattern of consideration, or it just didn't make sense that such abstract math in topologies could ever work. So in looking at a previous comparison here the dynamical nature of the orbital seemed a valid comparison not only on a cosmological scale, but on a very small one as well?

A Holographical way of thinking?

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