English

Black holes and cryptocurrencies

High Energy Physics - Theory 2022-05-27 v1 Computational Complexity General Relativity and Quantum Cosmology

Abstract

It has been proposed in the literature that the volume of Einstein-Rosen bridge is equal to complexity of state preparation ("Complexity=Volume" conjecture). Taking this statement outside the horizon, one might be tempted to propose "Complexity=Time" correspondence. In this Essay we argue that in a blockchain protocol, which is the foundation of all modern cryptocurrencies, time is emergent and it is defined according to a version of "Complexity=Time".

Keywords

Cite

@article{arxiv.2205.12995,
  title  = {Black holes and cryptocurrencies},
  author = {Alexey Milekhin},
  journal= {arXiv preprint arXiv:2205.12995},
  year   = {2022}
}

Comments

15 pages. Essay written for the Gravity Research Foundation 2022 Awards for Essays on Gravitation (extended version)

R2 v1 2026-06-24T11:28:51.218Z