String Theory And The Hawking Mistake
In the point of view of observers the black hole paradox information (in the framefork string theory) is discussed.
The horizon plays an important role in the thermodynamics of the spacetime. One could, for example crossing the horizon of a very massive black hole; the free falling observer should not experience anything out of the ordinary. If the mass of the black hole M is much larger than Planck mass, a classical description of the black hole should be adequate, and in classical general relativity the horizon merely represents a coordinate singularity, with physical quantities like the curvature are nonsingular, and shows the distribution on the scalar curvature. This will lead to a nontrivial topological winding number and a topological interpretation of the thermal behavior; take the point of view that since the region bounded by the horizon is inaccessible to the Rindler observer, the origin should be removed from the Euclidion spacetime. This will change the topological structure and will introduce a non trivial winding number for paths that go around the origin. The thermal effect can be obtained directly from this feature. This leads to a nonzero temperature in the horizon spacetime. Furthermore, from the point of view of the free falling observer, the flux of Hawking radiation is switched off when he approaches the horizon. This can be shows that, near the horizon with an appropriate change of variable the Schwarzschild metric approaches to the Rindler metric, and a free falling observer in Schwarzschild space time becomes a free falling observer in the flat Minkowski spacetime and certainly doesn't detect any radiation. The point of view of a fiducial observer is dramatically different.
Climbing out of the gravitational potential well, the radiation is gravitationally redshift and is seen by an observer at infinity as having temperature TH. Instead, at the horizon the temperature measured by a fiducial...
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