Abstract
The Page curve is a curve of average subsystem entropy as a function of subsystem size. The curve starts from 0, rises, peaks near the maximal possible entropy when the subsystem makes up half of the total system, and then falls back to 0. We here describe subsystem entropy, averaging over quantum states, and why the curve rises and falls in that manner. We also discuss the connection between the curve and the black hole information paradox. © 2025 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
| Original language | English |
|---|---|
| Title of host publication | The Black Hole Information Paradox |
| Subtitle of host publication | A Fifty-Year Journey |
| Editors | Ali Akil, Cosimo Bambi |
| Publisher | Springer Singapore |
| Chapter | 9 |
| Pages | 257-267 |
| Number of pages | 11 |
| ISBN (Electronic) | 978-981-96-6170-1 |
| ISBN (Print) | 978-981-96-6172-5, 978-981-96-6169-5 |
| DOIs | |
| Publication status | Published - 2025 |
Publication series
| Name | Springer Series in Astrophysics and Cosmology |
|---|---|
| ISSN (Print) | 2731-734X |
| ISSN (Electronic) | 2731-7358 |
Funding
We thank N. E. Bonesteel for a useful discussion in our original work. This work was supported by the National Science Foundation Grants No. DMR-1932796 and DMR2315954, and performed at the National High Magnetic Field Laboratory which is supported by National Science Foundation Cooperative Agreement No. DMR-2128556, and the State of Florida.