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.
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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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