Wednesday, January 12, 2005

Domains walls and Interconnecting Loops



It seems wellness is coming back in full force:) so I thought I would take some advice. This paragraph below italizied, and the one related to Chen for consideration, in terms of the abtract world that topological consideration, might have have found expression? If supersymmetrical realites are ever reached, looking backwards to the origins of the universe, what does it mean if you do not consider the high energy of any situation? Is there no mathematical world there?


As a result, the gluons inside one gold ion appear to the other ion as a ‘gluonic wall’ traveling near the speed of light. At very high energies, the density of the gluons in this wall is seen to increase greatly. Unlike the quark-gluon plasma produced in the collision of such walls, the color glass condensate describes the walls themselves, and is an intrinsic property of the particles that can only be observed under high-energy conditions such as those at RHIC.

A lot of times when you move to consider the higher forms of a geometry that leads to topological considerations, you wonder if there are other mechanisms availiable to help one move within these abstractions. So by looking at current experiments in the gold ions collisions something caught my attention that I wondered abou,t in current topological structure work and summing over all topologies to have found it's place of value?

The simple fact is that causal effects in the early universe can only propagate (as at any time) as the speed of light c. This means that at a time t, regions of the universe separated by more than a distance d=ct can know nothing about each other. In a symmetry breaking phase transition, different regions of the universe will choose to fall into different minima in the set of possible states (this set is known to mathematicians as the vacuum manifold). Topological defects are precisely the `boundaries' between these regions with different choices of minima, and their formation is therefore an inevitable consequence of the fact that different regions cannot agree on their choices.

So having understood the early universe as microstates, its important that if such opportunities in the physics bring forth other possibilties, then maybe predictive features are viable alternatives to what topological structures we are using?



Now as I said it is highly abstract for obvious reasons, and one cannot forget the royal road that lead to this dimensional perspective that seem to fall by the wayside(salem witch trials) when speculation is prodded in landscape issues and blaspheming of the branes theories.:)



So having understood early cosmological valuations in high energy considerations, are also cosmological questions, I wonder then how such formations could have ever multiplied into a cohesive structure, we have around us now? So the model that was most helpful for me was considered.

Modified Kaluza-Klein Theory, Quantum Hidden Variables and 3-Dimensional Time


In this paper, the basic quantum field equations of free particle with 0-spin, 1-spin (for case of massless and mass $>$ 0) and 1/2 spin are derived from Einstein equations under modified Kaluza-Klein metric, it shows that the equations of quantum fields can be interpreted as pure geometry properties of curved higher-dimensional time-space . One will find that if we interpret the 5th and 6th dimension as ``extra'' time dimension, the particle's wave-function can be naturally interpreted as a single particle moving along geodesic path in 6-dimensional modified Kaluza-Klein time-space. As the result, the fundamental physical effect of quantum theory such as double-slit interference of single particle, statistical effect of wave-function, wave-packet collapse, spin, Bose-Einstein condensation, Pauli exclusive principle can be interpreted as ``classical'' behavior in new time-space. In the last part of this paper, we will coupling field equations of 0-spin, 1-spin and 1/2-spin particles with gravity equations.



Using so much information(imagine strings as a expression of a much different world harmonically pitched) to try and piece together a picture of the universe, is not always easy. Gerard Hooft's points about using this in computer manifestations, is a resonable enough problem that is understood, that of course LIGO translation and Seti mode of operandi, helps us with all these tiny bits of information.

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