black holes
The following considerations relate to the quantum gravity programs
currently being developed.
- 1. A black hole-spinning or otherwise- can be considered as a tightly coupled boson system, and thus a quantum spin group
system; therefore, it is unlikely that it would be chaotic. instead, it is predicted to be organized as some kind of spin foam
that would exhibit 'extremely slow' fluctuations related to the energy radiation leaks near the black hole horizon.
- 2. A graded Lie groupoid,
, may provide a mathematical representation
of the black hole gravitational, quantized field symmetry. (Both the precise concept
of a
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 spin foams
within the black hole.
- 4. Whereas space-time
point topology is indeed a problem for black holes, a
-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
-complex topology is consistent with both the
symmetry of the quantized gravitational fields and the associated spin foams.
- 5. Instead of the 'standard' time in QM, one would may 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).
Remarks.
The black hole structure and symmetry are difficult, challenging problems that are at the cutting edge and intersections of both physics and algebraic topology.
Apparently, the question of the dimensions of a black hole is unanswered so far by M-theory.
Contributors to this entry (in most recent order):
As of this snapshot date, this entry was owned by bci1.