universe a hollow sphere containing a near- Bose condensate?

Posted by rtharbaugh on September 26, 2003 at 16:29:05:

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I have come upon an interesting idea while reading Kepler's Conjecture, by George G. Szpiro. Szpiro talks about dense packing in spheres of equal size, and finds that twelve around one is the most dense packing which will tile space. He notes, however, that there is another packing, called the dirty dozen, which allows locally for more dense packing. This is the form in which one ball is placed next to another, then five in contact with each of the first two, then five more, each in contact with the first ball and two of the five previously placed, leaving one space at the top which has room for one more ball, which can be placed in virtually infinite positions, limited by the second five and the center.

In this form, local packing will be more dense than is found globally, but the local increase in density in one part of a tiled space will be compensated by a decrease in density in other parts of the tiled space. This relationship is reminiscent of entropy.

I have assumed that spacetime spheres are densely tiled in our region of local space, with a very small opportunity for one and two dimensional Planck spaces in the interstices, when two neighboring spheres may be out of contact. The most common incidence of this condition would occur at the outer boundaries of any closed system. In fact, and this is the idea I find interesting, it is implied that in any closed system of densely packed spheres, even a universal one, there will be an outer boundary of increased density. Therefore a spherical model of a universe will be one which has some of the physics of a hollow shell of high density filled with a gas of lower density.

Our experience of the universe is one of a very cold gas with stable regions of elevated temperature. I propose that our model should consider the stable regions of elevated temperature as standing waves in a system which is very close to being a Bose condensate. The stable regions of elevated temperature are what we commonly think of as matter.

Any comments?

Thanks,

Richard T. Harbaugh


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• Re: universe a hollow sphere containing a near- Bose condensate? -- JohnCauthen 9/27/03 (1)
  • Re: universe a hollow sphere containing a near- Bose condensate? -- rtharbaugh 9/28/03 (0)

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