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Has anyone seen http://arxiv.org/PS_cache/gr-qc/pdf/0608/0608086.pdf" new paper by David Finkelstein at Georgia Tech?
He claims a new method of quantization throught "homotopic flexing" (his new-coined term) of Lie Groups, and the paper includes many goodies, such as only histories are really observable, as Dirac, Schwinger, and Feynman understood but Heisenberg muffed on. But quantized histories are highly nonsingular and ill-defined (e.g. path integration, or see Lubos Motl on spin-foam formalism). BUT, Finkelstein's new flex algebra method replaces crude "flat" algebras which can't handle histories with larger dimensional flexible algebras which have no problem with them.
Finkelstein admits he "stops halfway" in this paper because he quantizes gravity but not with matter (welcome to the club!). Nevertheless, this is a refreshing new way of looking at things.
He claims a new method of quantization throught "homotopic flexing" (his new-coined term) of Lie Groups, and the paper includes many goodies, such as only histories are really observable, as Dirac, Schwinger, and Feynman understood but Heisenberg muffed on. But quantized histories are highly nonsingular and ill-defined (e.g. path integration, or see Lubos Motl on spin-foam formalism). BUT, Finkelstein's new flex algebra method replaces crude "flat" algebras which can't handle histories with larger dimensional flexible algebras which have no problem with them.
Finkelstein admits he "stops halfway" in this paper because he quantizes gravity but not with matter (welcome to the club!). Nevertheless, this is a refreshing new way of looking at things.
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