|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
The arithmetic geometry of AdS$_2$ and its continuum limit | | Minos Axenides
; Emmanuel Floratos
; Stam Nicolis
; | | Date: |
19 Aug 2019 | | Abstract: | We present and study in detail the construction of a discrete and finite
arithmetic geometry AdS$_2[N]$ and show that an appropriate scaling limit
exists, as $N oinfty,$ that can be identified with the universal AdS$_2$
radial and time near horizon geometry of extremal black holes.
The AdS$_2[N]$ geometry has been proposed as a toy model for describing the
nonlocal and chaotic dynamics of the horizon microscopic degrees of freedom,
that carry the finite black hole entropy. In particular, it supports exact
quantum mechanical bulk-boundary holography for single particle wave packet
probes, that possess an $N-$dimensional Hilbert space of states.
This costruction amounts, in fact, to a compression of the information about
the continuous AdS$_2$ geometry and it provides an example of a framework for
the study of quantum complexity of spacetime geometries. | | Source: | arXiv, 1908.6641 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER