Hiroshi Ooguri and Masahito Yamazaki have published their results in "Physical Review Letters" -IPMU Researchers use 3-dimensionnal crystals to decode quantum information in back holes-

April 9, 2009
Institute for the Physics and Mathematics of the Universe (IPMU)

Hirosi Ooguri and Masahito Yamazaki of the Institute for the Physics and Mathematics of the Universe developed a new method to use crystal melting models in three dimensions to identify quantum states of black holes in superstring theory.
The result of this study will appear in the science journal Physical Review Letters.

Publication: Physical Review Letters

Title: Emergent Calabi-Yau geometry

Authors: Hirosi Ooguri, Masahito Yamazaki


CONTACTS

For more details

  • Hirosi Ooguri,

Professor

e-mail. h.ooguri _at_ gmail.com

Media Contact

  • Fusae Miyazoe,

IPMU Press Officer

e-mail. press _at_ ipmu.jp


SUMMARY

In 1974, Stephen Hawking showed that black holes, though they are completely dark as classical solutions to the Einstein equation, emit heat and evaporate by quantum effects.If this phenomenon obeys the laws of statistical mechanics, there must be an enormous amount of quantum information stored in a black hole (*1).
The IPMU researchers have shown that each quantum state of a particular class ofblack holes in string theory corresponds one-to-one to a molten crystal in threedimensions. For example, an ice is a crystal of water molecules. When it melts, it startslosing molecules from its corners. Similarly, the space-time without a black hole is aperfect crystal. As the crystal loses molecules, the black hole grows larger. In thethermodynamic limit, where the size of individual atoms becomes negligible, theyshowed that smooth space-time emerges and Hawking’s prediction is reproduced.

*1 According to Hawking’s computation, a black hole of M kg has exp(1016 M2) quantum states. For example, a typical astrophysical black hole formed by stellar collapse weighs about 1031 kg and carries as many as e1078states.


Fig.1: The space-time without a black hole corresponds to the original perfect crystal.Fig.1: The space-time without a black hole corresponds to the original perfect crystal.   Fig.2: Each black hole quantum state corresponds to a molten crystal.2Fig.2: Each black hole quantum state corresponds to a molten crystal.2
 Fig.3: As the crystal loses molecules, the black hole grows.Fig.3: As the crystal loses molecules, the black hole grows.  Fig.4: In the thermodynamic limit, the space-time becomes smooth and Hawking’s prediction is reproduced.Fig.4: In the thermodynamic limit, the space-time becomes smooth and Hawking’s prediction is reproduced.

IPMU aims at understanding the origin, fate, and fundamental laws of the Universe, and was established by the World Premier International Research Center Initiative (WPI) program of Ministry of Education, Culture, Sports, Science, and Technology (MEXT) of Japan. This research was supported in part by Global COE program of MEXT.