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arXiv · 1205.4107

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

Gerard 't Hooft
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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.

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Gerard 't Hooft. 2012-05-18. Duality between a deterministic cellular automaton and a bosonic quantum field theory in 1+1 dimensions. https://doi.org/10.1007/s10701-013-9702-z

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