Holographic non-computers

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ID: 99406
2018
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Abstract
Abstract We introduce the notion of holographic non-computer as a system which exhibits parametrically large delays in the growth of complexity, as calculated within the Complexity-Action proposal. Some known examples of this behavior include extremal black holes and near-extremal hyperbolic black holes. Generic black holes in higher-dimensional gravity also show non-computing features. Within the 1/d expansion of General Relativity, we show that large-d scalings which capture the qualitative features of complexity, such as a linear growth regime and a plateau at exponentially long times, also exhibit an initial computational delay proportional to d. While consistent for large AdS black holes, the required ‘non-computing’ scalings are incompatible with thermodynamic stability for Schwarzschild black holes, unless they are tightly caged.
Reference Key
barbon2018holographicjournal Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Barbón, José L. F.;Martín-García, Javier;
Journal journal of high energy physics
Year 2018
DOI
DOI not found
URL
http://link.springer.com/article/10.1007/JHEP02(2018)181
Keywords
Veterinary medicine Science physics electronic computers. computer science geology nuclear and particle physics. atomic energy. radioactivity astrophysics stratigraphy

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