Möbius inverse problem for distorted black holes.

Statistics – Applications

Scientific paper

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Black Holes: Hawking Radiation

Scientific paper

Hawking "thermal" radiation could be a means to detect black holes of micron sizes, which may be hovering through the universe. The author considers these micro black holes to be distorted by the presence of some distribution of matter representing a convolution factor for their Hawking radiation. One may hope to determine from their Hawking signals the temperature distribution of their material shells by the inverse black-body problem. In 1990, Nan-xian Chen has used a so-called modified Möbius transform to solve the inverse black-body problem. The author discusses and applies this technique to Hawking radiation. Some comments on supersymmetric applications of Möbius function and transform are also added.

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