PlanetPhysics/Black Holes

The following considerations relate to the [[../QuantumGravityPrograms2/|quantum gravity programs]] currently being developed.

Conjectures on Black Hole Symmetry and Structure

• 1. A black hole--spinning or otherwise-- can be considered as a tightly [[../QuantumStatisticalTheories/|coupled boson system]], and thus a quantum [[../Spin4/|spin group]] [[../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence/|system]]; therefore, it is unlikely that it would be chaotic. instead, it is predicted to be organized as some kind of [[../ComplexOfSpinNetworks/|spin foam]] that would exhibit 'extremely slow' fluctuations related to the [[../CosmologicalConstant2/|energy]] [[../Cyclotron/|radiation]] leaks near the black hole [[../GenericityInOpenSystems/|horizon]].
• 2. A graded [[../LieAlgebroids/|Lie groupoid]], ${𝐆}_{Lg}$, may provide a mathematical [[../CategoricalGroupRepresentation/|representation]] of the black hole gravitational, quantized [[../CosmologicalConstant/|field]] symmetry. (Both the precise [[../PreciseIdea/|concept]] of a ${𝐆}_{Lg}$ and that of quantized gravitational fields are available at PlanetPhysics).
• 3. Instead of "clouds" of probability one may wish to consider transition probability distributions for tightly coupled [[../SimplicialCWComplex/|spin foams]] within the black hole.
• 4. Whereas [[../SR/|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 ${𝐆}_{Lg}$symmetry of the quantized gravitational fields and the associated spin foams.
• 5. Instead of the 'standard' time in [[../FTNIR/|QM]], one would may introduce for the region inside the horizon of the black hole a quantum superoperator associated with the time [[../QuantumSpinNetworkFunctor2/|observable]] (as our [[../QuantumGroup4/|quantum group]] has done in a few recent publications, echoing Prigogine's published [[../Work/|work]] on quantum superoperators).

Remarks.

The black hole structure and symmetry are difficult, challenging problems that are at the cutting edge and intersections of both physics and [[../CubicalHigherHomotopyGroupoid/|algebraic topology]].

Apparently, the question of the dimensions of a black hole is unanswered so far by [[../10DBrane/|M-theory]].