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Viewing Message ``Re: Black Holes ?'' by bci1 on 2009-10-03 11:57:15 Hi, Brenton: Lots of assumptions. Let's consider a few of these assumptions. 1. As any black hole is presumably a tightly coupled spin-2 group system it is unlikely that it would be chaotic, but organized as some kind of spin foam that would exhibit 'extremely slow' fluctuations because it is most likely leaky near its horizon. 2. A graded Lie groupoid, Lgpd, is a more likely representation of the black hole gravitational, quantized field symmetry. (Both the precise concept of an Lgpd and of quantized gravitational fields are available at PlanetPhysics in several of my entries, and refs. cited therein). 3. Instead of "clouds" of probability one may wish to consider transition probability distributions for tightly coupled spin foams within the black hole. 4. Whereas space-time point topology is indeed a problem for black holes, a CW-complex non-discrete topology remains a possibility nicely represented by the spin foams that do form a CW-complex associated with the black hole. The CW-complex topology is consistent with both the Lgpd symmetry of the quantized gravitational fields and the associated spin foams. 5. However, instead of the 'standard' time in QM, one would maybe introduce for the region inside the horizon of the black hole a quantum superoperator associated with the time observable (as our quantum group has done in a few recent publications, echoing Prigogine's published work on quantum superoperators). Hope these points address some of your latest questions on this difficult subject which is at the cutting edge of both physics and algebraic topology. [ reply | up | top ] Interact reply

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