Friday, December 30, 2005

Special holonomy manifolds in string theory

So what instigated my topic today and Hypercharge make sits way for me to reconsider, so while doing this the idea of geoemtries and th eway in which we see this uiverse held to the nature of it's origination are moving me to consider how we see in ths geometrical sense.

The resurgence of ideas about the geometries taking place are intriguing models to me of those brought back for viewing in the Sylvester surfaces and B field relations held in context of the models found in the >Wunderkammern.

This paragraph above should orientate perception for us a bit around methods used to see in ways that we had not seen before. This is always very fascinating to me. What you see below for mind bending, helps one to orientate these same views on a surface.

Hw would you translate point on a two dimensional surface to such features on the items of interest on these models proposed?

Part of my efforts at comprehension require imaging that will help push perspective. In this way, better insight to such claims and model methods used, to create insight into how we might see those extra 10 dimensions, fold into the four we know and love.

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

If one held such views from the expansitory revelation, that our universe implies at these subtle levels a quantum nature, then how well has our eyes focused not only on the larger issues cosmology plays, but also, on how little things become part and parcel of this wider view? That the quantum natures are very spread, out as ths expansion takes place, they collpase to comsic string models or a sinstantaneous lightning strikes across thei universe from bubbles states that arose from what?

So knowing that such features of "spherical relation" extended beyond the normal coordinates, and seeing this whole issue contained within a larger sphere of influence(our universe), gives meaning to the dynamical nature of what was once of value, as it arose from a supersymmetrical valuation from the origination of this universe? If Any symmetry breaking unfolds, how shall we see in context of spheres and rotations within this larger sphere, when we see how the dynamcial propertties of bubbles become one of the universes as it is today? Genus figures that arise in a geometrodynamcial sense? What are these dynacis within context of the sphere?

So as I demonstrate the ways in which our vision is being prep for thinking, in relation to the models held in contrast to the nature of our universe, how are we seeing, if we are moving them to compact states of existance, all the while we are speaking to the very valuation of the origination of this same universe?

Holonomy (30 Dec 2005 Wiki)

Riemannian manifolds with special holonomy play an important role in string theory compactifications. This is because special holonomy manifolds admit covariantly constant (parallel) spinors and thus preserve some fraction of the original supersymmetry. Most important are compactifications on Calabi-Yau manifolds with SU(2) or SU(3) holonomy. Also important are compactifications on G2 manifolds.

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