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Loop quantization

Posted: Fri Apr 13, 2007 11:54 am
by Grudge
At the core of loop quantum gravity is a framework for nonperturbative quantization of diffeomorphism-invariant gauge theories, which one might call loop quantization. While originally developed in order to quantize vacuum general relativity in 3+1 dimensions, the formalism can accommodate arbitrary spacetime dimensionalities, fermions, an arbitrary gauge group (or even quantum group), and supersymmetry, and results in a quantization of the kinematics of the corresponding diffeomorphism-invariant gauge theory.

Posted: Fri Apr 13, 2007 11:57 am
by Grudge
In a nutshell, loop quantization is the result of applying C*-algebraic quantization to a non-canonical algebra of gauge-invariant classical observables. Non-canonical means that the basic observables quantized are not generalized coordinates and their conjugate momenta. Instead, the algebra generated by spin network observables (built from holonomies) and field strength fluxes is used.

Posted: Fri Apr 13, 2007 11:57 am
by MKJ
olonomies

Posted: Fri Apr 13, 2007 12:02 pm
by seremtan
:olo: fuck off masturbative queertization of poofomoronism-invariant gay theories :olo:

Posted: Fri Apr 13, 2007 12:08 pm
by MKJ
:diffeolomorphism-invariant:

Posted: Fri Apr 13, 2007 4:13 pm
by plained
wow!

Posted: Fri Apr 13, 2007 4:41 pm
by R00k
:olo: Meson-brained Kinetic-less Joke :olo:

Posted: Fri Apr 13, 2007 5:42 pm
by SplishSplash
I told you guys about LQG years ago and you were all like "Oh no, String Theory is so great!"

And now look at yallselves. You got your shit ruined.

Posted: Fri Apr 13, 2007 5:54 pm
by Massive Quasars
Being the studious german you are, you were probably scribbling away in some basement cellar for years before coming to appreciate the explanatory power of this alternative theory.

Posted: Fri Apr 13, 2007 6:03 pm
by CaseDogg
guys please.

Posted: Fri Apr 13, 2007 6:07 pm
by Massive Quasars
sorry

Posted: Fri Apr 13, 2007 6:08 pm
by CaseDogg
:icon25:

Posted: Sat Apr 14, 2007 4:51 pm
by tnf
Where's Kracus when we need his insights.