IPMU Researchers use 3-dimensional crystals to decode quantum information in black holes

Kashiwa, Japan—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.

Journal: Physical Review Letters
Title: Emergent Calabi-Yau geometry
Authors: Hirosi Ooguri, Masahito Yamazaki

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 of black holes in string theory corresponds one-to-one to a molten crystal in three dimensions. For example, an ice is a crystal of water molecules. When it melts, it starts losing molecules from its corners. Similarly, the space-time without a black hole is a perfect crystal. As the crystal loses molecules, the black hole grows larger. In the thermodynamic limit, where the size of individual atoms becomes negligible, they showed that smooth space-time emerges and Hawking's prediction is reproduced.

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[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 states.

Science Contact
Hirosi Ooguri
Professor
E-mail: h.ooguri _at_ gmail.com

Media Contact
Fusae Miyazoe
Press officer
E-mail: press_at_ipmu.jp

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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.