=> A Symmetry Breaking Phase Transition

If we understand what that point suggests, we understand well what the planck length has told us to consider, that even for the briefest of moment, the gamma ray burst would have revealled the CMB in its glory, and slowly we see how such consolidations would have materialize in the current temperatures values of that CMB today?

Below is a quote from Green that help me to recognize the energy values assigned in the KK Tower, to have understood the Radius of this circle, has to reveal symmetrical phases in the developement of that same cosmo. I needed a way in which to see how it was possible geommetrically to absorb the variations in the symmetries of events, in that same cosmo such points could have existed at any time? We needed to look for these locations. These blackholes?

How can a speck of a universe be physically identical to the great expanse we view in the heavens above?

The Elegant Universe, Brian Greene, pages 248-249





G -> H -> ... -> SU(3) x SU(2) x U(1) -> SU(3) x U(1)

Here, each arrow represents a symmetry breaking phase transition where matter changes form and the groups - G, H, SU(3), etc. - represent the different types of matter, specifically the symmetries that the matter exhibits and they are associated with the different fundamental forces of nature

Figure 8 [replaced by our Figure 2] is to be conceived three-dimensionally, the circles being cross-sections of spherical shells in the plane of the drawing. A man is climbing about on the huge spherical surface 1; by measurements with rigid rods he recognizes it as a spherical shell, i.e. he finds the geometry of the surface of a sphere. Since the third dimension is at his disposal, he goes to spherical shell 2. Does the second shell lie inside the first one, or does it enclose the first shell? He can answer this question by measuring 2. Assume that he finds 2 to be the smaller surface; he will say that 2 is situated inside of 1. He goes now to 3 and finds that 3 is as large as 1.

How is this possible? Should 3 not be smaller than 2? ...

He goes on to the next shell and finds that 4 is larger than 3, and thus larger than 1. ... 5 he finds to be as large as 3 and 1.

But here he makes a strange observation. He finds that in 5 everything is familiar to him; he even recognizes his own room which was built into shell 1 at a certain point. This correspondence manifests itself in every detail; ... He is quite dumbfounded since he is certain that he is separated from surface 1 by the intervening shells. He must assume that two identical worlds exist, and that every event on surface 1 happens in an identical manner on surface 5. (Reichenbach 1958, 63-64)

As you can see Brain Greene's quote at the top of the page was taken from the context of the paragraph below. One of the difficulties in a commoner like me, was trying to piece together how the develpement of the mind of string theorists, could have geometrically defined the relationships on a more abstract level. As strange as it may seem, I found other correpsondances that would have probably shaken the very foundation of our human thinking, that I could not resist looking and following these developements.

The familiar extended dimensions, therefore, may very well also be in the shape of circles and hence subject to the R and 1/R physical identification of string theory. To put some rough numbers in, if the familiar dimensions are circular then their radii must be about as large as 15 billion light-years, which is about ten trillion trillion trillion trillion trillion (R= 1061) times the Planck length, and growing as the universe explands. If string theory is right, this is physically identical to the familiar dimensions being circular with incredibly tiny radii of about 1/R=1/1061=10-61 times the Planck length! There are our well-known familiar dimensions in an alternate description provided by string theory. [Greene's emphasis]. In fact, in the reciprocal language, these tiny circles are getting ever smaller as time goes by, since as R grows, 1/R shrinks. Now we seem to have really gone off the deep end. How can this possibly be true? How can a six-foot tall human being 'fit' inside such an unbelievably microscopic universe? How can a speck of a universe be physically identical to the great expanse we view in the heavens above?

The Elegant Universe, Brian Greene, pages 248-249



I was attracted very early to what I seen in the Klien bottle, that such modelling of these concepts was very striking to me. How could one not have seen some correspondance to the way in which the torus could have been revealled? That one might have considered, such modelling in the shape of our universe, as the point emerged from the brane? This inside/out feature was very troubling to me and still is, that I have endeveaor to follow this line of thinking, alongside of other avenues that were less then appreciated by the scientist/theorist that I have refrained from mentioning it here now.

Figure 15-18b Conformal Changes