Talk:PlanetPhysics/Black Holes
Original TeX Content from PlanetPhysics Archive
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The following considerations relate to the \htmladdnormallink{quantum gravity programs}{http://planetphysics.us/encyclopedia/QuantumGravityPrograms2.html} currently being developed.
\subsection{Conjectures on Black Hole Symmetry and Structure}
\begin{itemize} \item 1. A black hole--spinning or otherwise-- can be considered as a tightly \htmladdnormallink{coupled boson system}{http://planetphysics.us/encyclopedia/QuantumStatisticalTheories.html}, and thus a quantum \htmladdnormallink{spin group}{http://planetphysics.us/encyclopedia/Spin4.html} \htmladdnormallink{system}{http://planetphysics.us/encyclopedia/SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence.html}; therefore, it is unlikely that it would be chaotic. instead, it is predicted to be organized as some kind of \htmladdnormallink{spin foam}{http://planetphysics.us/encyclopedia/ComplexOfSpinNetworks.html} that would exhibit 'extremely slow' fluctuations related to the \htmladdnormallink{energy}{http://planetphysics.us/encyclopedia/CosmologicalConstant2.html} \htmladdnormallink{radiation}{http://planetphysics.us/encyclopedia/Cyclotron.html} leaks near the black hole \htmladdnormallink{horizon}{http://planetphysics.us/encyclopedia/GenericityInOpenSystems.html}.
\item 2. A graded \htmladdnormallink{Lie groupoid}{http://planetphysics.us/encyclopedia/LieAlgebroids.html}, $\mathbf{G}_{Lg}$, may provide a mathematical \htmladdnormallink{representation}{http://planetphysics.us/encyclopedia/CategoricalGroupRepresentation.html} of the black hole gravitational, quantized \htmladdnormallink{field}{http://planetphysics.us/encyclopedia/CosmologicalConstant.html} symmetry. (Both the precise \htmladdnormallink{concept}{http://planetphysics.us/encyclopedia/PreciseIdea.html} of a $\mathbf{G}_{Lg}$ and that of quantized gravitational fields are available at PlanetPhysics).
\item 3. Instead of "clouds" of probability one may wish to consider transition probability distributions for tightly coupled \htmladdnormallink{spin foams}{http://planetphysics.us/encyclopedia/SimplicialCWComplex.html} within the black hole.
\item 4. Whereas \htmladdnormallink{space-time}{http://planetphysics.us/encyclopedia/SR.html} 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 $\mathbf{G}_{Lg}$symmetry of the quantized gravitational fields and the associated spin foams.
\item 5. Instead of the 'standard' time in \htmladdnormallink{QM}{http://planetphysics.us/encyclopedia/FTNIR.html}, one would may introduce for the region inside the horizon of the black hole a quantum superoperator associated with the time \htmladdnormallink{observable}{http://planetphysics.us/encyclopedia/QuantumSpinNetworkFunctor2.html} (as our \htmladdnormallink{quantum group}{http://planetphysics.us/encyclopedia/QuantumGroup4.html} has done in a few recent publications, echoing Prigogine's published \htmladdnormallink{work}{http://planetphysics.us/encyclopedia/Work.html} on quantum superoperators).
\end{itemize}
\textbf{Remarks.}
The black hole structure and symmetry are difficult, challenging problems that are at the cutting edge and intersections of both physics and \htmladdnormallink{algebraic topology}{http://planetphysics.us/encyclopedia/CubicalHigherHomotopyGroupoid.html}.
Apparently, the question of the dimensions of a black hole is unanswered so far by \htmladdnormallink{M-theory}{http://planetphysics.us/encyclopedia/10DBrane.html}.
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