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Computing spacetime

Pedraza, Juan F; Russo, Andrea; Svesko, Andrew; Weller-Davies, Zachary; (2022) Computing spacetime. International Journal of Modern Physics D , 31 (14) , Article 2242010. 10.1142/S021827182242010X. Green open access

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Abstract

Inspired by the universality of computation, we advocate for a principle of spacetime complexity, where gravity arises as a consequence of spacetime optimizing the computational cost of its own quantum dynamics. This principle is explicitly realized in the context of the Anti-de Sitter/Conformal Field Theory correspondence, where complexity is naturally understood in terms of state preparation via Euclidean path integrals, and Einstein’s equations emerge from the laws of quantum complexity. We visualize spacetime complexity using Lorentzian threads which, conceptually, represent the operations needed to prepare a quantum state in a tensor network discretizing spacetime. Thus, spacetime itself evolves via optimized computation.

Type: Article
Title: Computing spacetime
Open access status: An open access version is available from UCL Discovery
DOI: 10.1142/S021827182242010X
Publisher version: https://doi.org/10.1142/S021827182242010X
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Quantum gravity, holography, computational complexity
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10160086
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