Evolution of segmented strings
- Princeton Univ., Princeton, NJ (United States)
Here, I explain how to evolve segmented strings in de Sitter and anti-de Sitter spaces of any dimension in terms of forward-directed null displacements. The evolution is described entirely in terms of discrete hops which do not require a continuum spacetime. Moreover, the evolution rule is purely algebraic, so it can be defined not only on ordinary real de Sitter and anti-de Sitter but also on the rational points of the quadratic equations that define these spaces. For three-dimensional anti-de Sitter space, a simpler evolution rule is possible that descends from the Wess-Zumino-Witten equations of motion. In this case, one may replace three-dimensional anti-de Sitter space by a noncompact discrete subgroup of SL (2, R) whose structure is related to the Pell equation. A discrete version of the Baados-Teitelboim-Zanelli (BTZ) black hole can be constructed as a quotient of this subgroup. Furthermore, this discrete black hole avoids the firewall paradox by a curious mechanism: even for large black holes, there are no points inside the horizon until one reaches the singularity.
- Research Organization:
- Princeton Univ., NJ (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Grant/Contract Number:
- FG02-91ER40671
- OSTI ID:
- 1353516
- Alternate ID(s):
- OSTI ID: 1332026
- Journal Information:
- Physical Review D, Vol. 94, Issue 10; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
p-Adic AdS/CFT
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journal | January 2017 |
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