A black hole is an object so massive that even light cannot escape from it. This requires the idea of a gravitational mass for a photon, which then allows the calculation of an escape energy for an object of that mass. When the escape energy is equal to the photon energy, the implication is that the object is a "black hole".
A lot of us understand I think that the cosmological world we had been lead through by Einstein, has geometrical principals embued with this organizational ascent. So too alongside of this equative understanding, the geometry must be understood as well, as the role we have in develoing to non euclidean geometry.
The basic principals have direct physics results as we learn to explore these potentials.
If we are taken to understand this progression, how did we get here? Are there higher dimensions without the geometry?
Measuring the depth of ideas
Lubos saids:Instead, let us ask: is quantum mechanics deep? Yes, I think that quantum mechanics is perhaps the deepest idea we know. It is once again a deformation of a conceptually simpler picture of classical physics. Much like the speed of light is finite in relativity and it unifies space and time, the Planck constant is finite in quantum mechanics which allows us to identify the energy with the frequency, among many other things - quantities that would otherwise remain as independent as space and time without relativity.
Lubos Motl talk about the depth of ideas, for me, leads to this progression of geometry. Talked about it in a way I saw leading and consenting ideas to this progression, by developing these deeper qualities of "quantum mechanics".
We had to understand then that such a physics progression would follow hand in hand, with the ideas of geometrical expression? So how were we lead into the non-eucldean world?
So too then, how would it be, if we use a different method to extoll the holographical understanding in how we percieve the natural abilties of information related to this geometrical form? Bekenstein Bound holds important clues about this fifth dimensional attribute?
Holography encodes the information in a region of space onto a surface one dimension lower. It sees to be the property of gravity, as is shown by the fact that the area of th event horizon measures the number of internal states of a blackhole, holography would be a one-to-one correspondance between states in our four dimensional world and states in higher dimensions. From a positivist viewpoint, one cannot distinquish which discription is more fundamental.
Pg 198, The Universe in Nutshell, by Stephen Hawking
How would then would we reduce Higher dimensions to relativity?
Superstring theory rules in the 5-D spacetime, but a so-called conformal field theory of point particles operates on the 4-D hologram. A black hole in the 5-D spacetime is equivalent to hot radiation on the hologram--for example, the hole and the radiation have the same entropy even though the physical origin of the entropy is completely different for each case. Although these two descriptions of the universe seem utterly unalike, no experiment could distinguish between them, even in principle.