SPHERE EVERSION:
OSCILLATING THE
WHOLE UNIVERSE
Eureka! A simple underlying form generates our universe:
An IO-Sphere which turns inside out [evert], then
outside in [invert], at the cubed speed of light.

THE UNIVERSE GENERATOR The sphere which shapes our world   Extended animation of Bill Thurston's "Outside In" If humanity is indeed the measure of the cosmos, whatever primal structure which creates the universe should echo the key attributes of cosmos nature and our bodies. We are powered by vital functions such as the human lungs, heart and sex organs. Scroll at right to see: The contraction of the heart. Ribs over a membrane which expands and contracts. A phallic penetration --the reverse of which is the drawing apart which powers cell division. And much more.

  9th October 2003
  by Fintan Dunne,
   Author: TreeIncarnation.com

My human-centered approach regards the human view of the universe as the defining perspective on the creation. Therefore, as humanity lives on a sphere, a sphere must be the key structure.

I became convinced that because a mirror plane runs down our bodies; and as mirrors turn things inside-out; then an inside out sphere must be the answer.

Yet, such a primal universal structure must surely underlie the form of our vital human organs; must drive key aspects of the cosmos, integrate with nuclear physics; and explain the mechanisms of Nature.

Could I really find all these features in one all-encompassing fundamental structure? I went looking. What I eventually found took my breath away.

A number of mathematical solutions have been developed to evert a sphere(see Footnote). I found Bill Thurston's 1970's topological technique to turn a sphere inside-out, while also minimizing it's surface bending energy. Thurston's solution was completely unrelated to our topic. Just an exercise in topology. Yet it fit the criteria astonishingly.

The true IO-Sphere incorporates a "cubing" of the sphere not seen in the above animation. (See Part 1). And, of course, the real eversion runs way beyond our scientific and human perception --at the cubed speed of light.

By the way, the above is not the only way in which the universal sphere turns inside out. There is more to this story (touching on the wave nature of reality). To be detailed in an article available online soon.

END PART 2: Sphere Eversion: Oscillating the Whole Universe
SEE PART 1: A Cubed IO-Sphere Creates the World
& SEE ALSO: The Mirror Mind of the Cyclic Universe

Fintan Dunne, 9th October, 2003
Copyright © TreeIncarnation.com

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Footnote:

EXTRACT from A brief history of sphere eversions by Silvio Levy

There are a number of topological methods for turning a sphere inside out, while avoiding a crease and minimizing surface bending energy. The above animation is an extended version of Bill Thurston's "Outside In" sphere eversion. This in turn arose out of Steve Smale's 1957 discovery that a sphere can be turned inside out --using smooth motions and self-intersections.

The history of sphere eversions starts in 1957, when Stephen Smale proved a very general fact about immersions of spheres [Smale 1958]. One consequence of his proof is that there should be a way to turn the sphere inside out by a regular homotopy.

For a little while, this claim met with skepticism. The mathematician Raoul Bott, who had been Smale's graduate adviser and who is one of the founders of differential topology, flatly told Smale that he was wrong, and explained why he thought so. Later he became persuaded that Smale's reasoning was correct, but he, like many other mathematicians, was still frustrated by the inscrutability of Smale's proof, and wished to see a more direct sphere eversion.

In 1961, Arnold Shapiro invented the first explicit eversion, but did not publish or divulge it widely. He did explain it to the French mathematician Bernard Morin, who passed it on to his compatriot René Thom, and eventually this eversion became more widely known thanks to Morin and George Francis, and especially to the article [Francis and Morin 1987].

The first time that most mathematicians and the public at large became aware of an explicit eversion was when Tony Phillips ...published a beautifully written article in Scientific American [Phillips 1966].

People began searching for simpler and more symmetrical solutions. Morin, in particular, devised in 1967 a new eversion that was simpler than all the preceding ones in terms of the number of crossings. Charles Pugh made wire-mesh models of various stages of it, and Nelson Max digitized these models and used them as the basis for the movie [Max 1977]. The rendering of the evolving sphere was done by Jim Blinn; here is a frame:

In the mid-seventies, Bill Thurston developed his idea of corrugations. This gives another route for the eversion, as explained in Outside In, and it can also be applied to other more general situations.