Unification of two aspects of black hole entropy towards the origin of holography

2017 Fiscal Year Final Research Report

• Project/Area Number: 16H07445
• Research Category: Grant-in-Aid for Research Activity Start-up
• Allocation Type: Single-year Grants
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Institute of Physical and Chemical Research
• Principal Investigator: Yokokura Yuki 国立研究開発法人理化学研究所, 分野横断型計算科学連携研究チーム, 基礎科学特別研究員 (50775616)
• Project Period (FY): 2016-08-26 – 2018-03-31
• Keywords: ブラックホール / 量子重力 / エントロピー / 場の理論 / 情報問題 / 対称性 / 熱力学

Outline of Final Research Achievements

Black hole entropy, which is given by the surface area, has two aspects: thermodynamic entropy and Noether charge. This research aims to clarify the relation of the two characterizations, which should lead to understanding of the origin of holography and information problem. We have constructed a self-consistent solution of evaporating black holes under assumption of spherical symmetry. In the solution, integrating entropy density of matter inside the hole reproduces the area law of black hole entropy. We have also formulated thermodynamic entropy as a Noether invariant in quantum mechanical systems. In future, these results should build a bridge between the two aspects of black hole entropy.

Free Research Field

素粒子論