Succeeded to elucidate the internal structure of the black hole with "paper and pencil" using a three-dimensional crystal model

Mr. Hiroshi Oguri, Mr. Hiroshi Oguri, Mr. Masato Yamasaki (Special Research Fellow of the Japan Society for the Promotion of Science, Ph.D. course at the University of Tokyo graduate school of science course) from the Institute for the Universe (IPMU) , I developed a method to use a three dimensional crystal model to calculate the superstring theory which is regarded as the ultimate theory of elementary particles and succeeded in elucidating the internal structure of the black hole with "paper and pencil".

In this research, by using the latest geometry, we have identified that each of the quantum states of the black hole corresponds to the way of melting the three-dimensional crystal, and as a result, the internal structure of the black hole Understanding will be further advanced.

Commentary explanation and illustration are as follows.
[PDF file]Using the crystal model, decipher the quantum information of the black hole
- IPMU Research results of Mr. Masato Yamasaki, chief scientist and Hiroshi Oguri, published in Physical Review Letters -

British physicist Dr. Hawking in 1974 showed that the black hole that should be dark as a solution to the Einstein equation will evaporate with the effect of quantum mechanics and whether this phenomenon follows the law of statistical mechanics It seems that enormous quantum information is hidden in the black hole.

Superstring theory is considered as the ultimate theory of elementary particles, since it integrates general relativity theory and quantum mechanics and contains all the necessary materials to derive the known elementary particle phenomena from the basic principle Because of this theory is expected to be able to decipher the quantum information of the black hole, in 2008 the group of High Energy Accelerator Research Organization and the Institute of Physical and Chemical Research calculate the temperature of the black hole using a supercomputer Then, it attracts attention.

In this research, I showed that by using the latest geometry, each one of the quantum states of the black hole corresponds to how the three-dimensional crystal melts.

For example, ice is a crystal of water, but when it gets warm, molecules of water will be removed from the horn, and it will gradually melt. In Fig. 1, it is supposed that the space-time with no black hole corresponds to the crystal of a cube that has not melted yet, it is a black hole that is so big that the crystal melts. And, in the so-called thermodynamic limit, the size of each atom of the crystal can be neglected, it becomes a smooth spatio-temporal space, and it is proved by "paper and pencil" that Dr. Hawking's quantum information number as predicted can be reproduced It is said that it will be done.

Figure 1: Space-time without black holes corresponds to crystals that have not melted yet.


Figure 2: The quantum state of the black hole corresponds one-to-one with the melting state of the crystal.


Figure 3: As crystals melt, they become big black holes. Crystal atoms are the smallest unit of time and space.


Figure 4: Thermodynamic limit and smooth spatio-temporal space, Dr. Hawking's state number of states predicted is reproduced.


By the way, this organization called IPMU was founded by the Ministry of Education, Culture, Sports, Science and Technology, the world's top research center program (WPI program), aiming to elucidate the origin, fate and basic law of the universe.