PIRSA:22100101

Entropy-Area Law from Interior Semi-classical Degrees of Freedom

APA

Yokokura, Y. (2022). Entropy-Area Law from Interior Semi-classical Degrees of Freedom . Perimeter Institute. https://pirsa.org/22100101

MLA

Yokokura, Yuki. Entropy-Area Law from Interior Semi-classical Degrees of Freedom . Perimeter Institute, Oct. 11, 2022, https://pirsa.org/22100101

BibTex

          @misc{ pirsa_22100101,
            doi = {10.48660/22100101},
            url = {https://pirsa.org/22100101},
            author = {Yokokura, Yuki},
            keywords = {Cosmology},
            language = {en},
            title = { Entropy-Area Law from Interior Semi-classical Degrees of Freedom },
            publisher = {Perimeter Institute},
            year = {2022},
            month = {oct},
            note = {PIRSA:22100101 see, \url{https://pirsa.org}}
          }
          

Abstract

 

Can degrees of freedom in the interior of black holes be responsible for the entropy-area law? If yes, what spacetime appears? In this talk, I answer these questions at the semi-classical level. Specifically, a black hole is considered as a bound state consisting of many semi-classical degrees of freedom which exist uniformly inside and have maximum gravity. The distribution of their information determines the interior metric through the semi-classical Einstein equation. Then, the interior is a continuous stacking of AdS_2 times S^2 without horizon or singularity and behaves like a local thermal state. Evaluating the entropy density from thermodynamic relations and integrating it over the interior volume, the area law is obtained with the factor 1/4 for any interior degrees of freedom. Here, the dynamics of gravity plays an essential role in changing the entropy from the volume law to the area law. This should help us clarify the holographic property of black-hole entropy. [arXiv: 2207.14274]

Zoom link: https://pitp.zoom.us/j/99386433635?pwd=VzlLV2U4T1ZOYmRVbG9YVlFIemVVZz09