Abstract
Hawking particles emitted by a black hole are usually found to have thermal spectra, if not exactly, then by a very good approximation. Here, we argue differently. It was discovered that spherical partial waves of in-going and out-going matter can be described by unitary evolution operators independently, which allows for studies of space-time properties that were not possible before. Unitarity dictates space-time, as seen by a distant observer, to be topologically non-trivial. Consequently, Hawking particles are only locally thermal, but globally not: we explain why Hawking particles emerging from one hemisphere of a black hole must be 100 % entangled with the Hawking particles emerging from the other hemisphere. This produces exclusively pure quantum states evolving in a unitary manner, and removes the interior region for the outside observer, while it still completely agrees locally with the laws of general relativity. Unitarity is a starting point; no other assumptions are made. Region I and the diametrically opposite region II of the Penrose diagram represent antipodal points in a PT or CPT relation, as was suggested before. On the horizon itself, antipodal points are identified. A candidate instanton is proposed to describe the formation and evaporation of virtual black holes of the type described here. Some important explanations and discussion points are added. In the latest of the paper, again some minor inaccuracies are corrected.
Highlights
According to the classical picture of a black hole, it appears to be a sink that absorbs all matter aimed at it, without leaving a trace
The author continues to defend the view that this should be seen as the most promising alley towards further understanding of nature’s book keeping system. This is because the picture that emerges only works if matter is considered to be entirely geometrical, and the condition that black holes should be entirely consistent with the laws of quantum mechanics, should be a powerful lead to guide us to a correct physical theory for all Planckian interactions
We found that the degrees of freedom in region I I of the Penrose diagram get mixed with the degrees of freedom in region I
Summary
According to the classical picture of a black hole, it appears to be a sink that absorbs all matter aimed at it, without leaving a trace. The author continues to defend the view that this should be seen as the most promising alley towards further understanding of nature’s book keeping system This is because the picture that emerges only works if matter is considered to be entirely geometrical (just as in string theories), and the condition that black holes should be entirely consistent with the laws of quantum mechanics, should be a powerful lead to guide us to a correct physical theory for all Planckian interactions. This is an inevitable element of the theory: gravitational deformations of space-time due to the gravitational fields of the particles going in and out, cause transitions from one region into the other The question how this can be understood physically was not answered in our previous paper.
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