Friday, November 05, 2004

Quantum Gravity Models

PLato saids,"Look to the perfection of the heavens for truth," while Aristotle saids "look around you at what is if you would know the truth"

Quantum Gravity

I guess we have a choice here?

Between the models of what would be percieved of, as higher dimensional realms, in terms of abstract model building, that is being produced by LQG and String/M Theory respectively?

If we were to accept forms of reality, then what artistic renditions would have made us realize that a deeper perspective exists.

What historical data would have been place before introspective artists and we reconcile that the cubists have found some satisfaction in the monte carlo explanation of membranes shown in the developing work of John Baez?

John Baez: Higher-Dimensional Algebra
and Planck-Scale Physics

A spin network

Using the relationships between 4-dimensional quantum gravity and topological quantum field theory, researchers have begun to formulate theories in which the quantum geometry of spacetime is described using `spin foams' -- roughly speaking, 2-dimensional structures made of polygons joined at their edges, with all the polygons being labelled by spins [6,11,16,23,24]. The most important part of a spin foam model is a recipe assigning an amplitude to each spin foam. Much as Feynman diagrams in ordinary quantum field theory describe processes by which one collection of particles evolves into another, spin foams describe processes by which one spin network evolves into another. Indeed, there is a category whose objects are spin networks and whose morphisms are spin foams! And like , this category appears to arise very naturally from purely -categorical considerations.

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