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Duality between a deterministic cellular automaton and a bosonic quantum field theory in 1+1 dimensions

Quantum Physics 2015-03-18 v2 High Energy Physics - Theory

Abstract

Methods developed in a previous paper are employed to define an exact correspondence between the states of a deterministic cellular automaton in 1+1 dimensions and those of a bosonic quantum field theory. The result may be used to argue that quantum field theories may be much closer related to deterministic automata than what is usually thought possible. Version 2 had a minor typo corrected and notation was made more consistent.

Keywords

Cite

@article{arxiv.1205.4107,
  title  = {Duality between a deterministic cellular automaton and a bosonic quantum field theory in 1+1 dimensions},
  author = {Gerard 't Hooft},
  journal= {arXiv preprint arXiv:1205.4107},
  year   = {2015}
}

Comments

18 pages (incl. Title page). No figures