Space-Tearing Conifold Transitions

Many years ago in my doodling, I created some comparisons to what I would have percieved in describing a point, line and plane. To me, I wanted to find a way to describe this point amidst a vast background of all points, so by constructing this diagram, and by realizing coordinates, intersection of lines and planes seemed a interesting idea to get to this point.

This brought some consideration to what was being shown by Greene below.


The Elegant Universe, by Brian Greene, pg 326


Now at the time, this being far removed from the stories that are developing in string theory, learning that having moved to brane considerations we can see where three brane world wrapped around a sphere could produce wonderful things for us to further ponder. That such emissions, from the gravitatinal collapse could all of a sudden produce, massless vibrating strings. We know then that such strings can be a photon or a other massless particles?:)


The Elegant Universe, by Brian Greene, pg 327

Part of the problem then for me is to figure out the stage of the developement of the cosmo what stage followed which stage, and the scheme within the cosmological display, the torus that had to become a sphere, or sphere collapsing to a torus? Concentrations of gravitonic expressions?

There were geometrical consideration here to think about.

Physicists found that a three-brane wrapped around a three-dimensional sphere will result in a gravitational field bearing the appearance of an extremal black hole, or one that has the minimum mass consistent with its force charges. Additionally, the mass of the three-brane is the mass of the black hole and is directly proportional to the volume of the sphere. Therefore, a sphere that collapses to a point as described above appears to us as a massless black hole, which will return to the discussion later.

Now as you know from my previous thread on the Flower considerations, color is a wonderful thing, but if my view was to be consistent, then how could there be any tearing in the use of a topological structure? The flower became very symbolic to me of what we see in the universe unfolding in these galaxies?

Two-dimensional strings trace out two-dimensional worldsheets. Since strings, according to Feynman's sum-over-paths formulation of quantum mechanics, simultaneously travel by all paths from one point to another, they are always passing by every point in space. According to physicist Edward Witten, this property of strings ensures that six-dimensional figures called Calabi-Yau spaces (theorized to be the shape of the other dimensions of our universe) can be transformed by certain topology-changing deformations called flop transitions without causing physical calamity. This is because strings are constantly sweeping out two-dimensional worldsheets that shield the flop transition point from the rest of the universe. A similar thought process goes toward the ability of Calabi-Yau spaces to undergo more drastic changes called space-tearing conifold transitions.

In order for me to consider the comlexity of the question certain insights about the nature of our universe has pointed out that there always had to be something existing, even in face of what any of us might thought of as a singularity in that blackhole collapse. But it is not that easy.

One had to assume that the bulk represented the continuance of some kind of flunctuating field of endeavor, that could hold our thoughts to dimensional attributes shared in the presetnation of Reimann's sphere. Gauss saw this early and gaussian coordinates also help to unite Maxwell into the glorifed picture of a dynamcial world?

The replacement of a 1-D sphere ( a circle ) with a 0-D sphere ( two points ) can create a different topological shape. A do-nut has a circle, round its lesser diameter, which is pinched to nothing. The do-nut turns into a cresent or banana-shape, with the two end-points repaired by the two points of a zero-dimensional sphere. The torus cum cresent can now transform into a ball, without further tearing.

This is as if Klein's hidden extra dimensions of space transformed from the one curled-up shape to another, comparably to the normal extended three dimensions changing the shape of the universe from a torus to a ball.
The evolution of the universe may involve such transmutations between curled-up Calabi-Yau spaces.

Equations governing the 'branes' showed that, from our limited three-dimensional view-point, the three-brane "smeared" around a three-dimensional sphere, within a ( curled-up ) Calabi-Yau space, sets up a gravitational field like a black hole.
The space tearing conifold transition from three to two dimensional sphere happens to increase the number of holes by one. These holes determine the number of low mass particles, considered as low energy string vibration patterns. The shrinking volume of the 3-D sphere goes with a proportionate mass decrease to zero: a massless black hole.