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

Gerard 't Hooft

doi:10.1007/s10701-013-9702-z

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

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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.

Original language	English
Journal	Foundations of Physics
Volume	43
DOIs	https://doi.org/10.1007/s10701-013-9702-z
Publication status	Published - May 2013

Bibliographical note

Lattice18 pages (incl. Title page). No figures

Keywords

Cellular automaton
Deterministic
Hilbert space
Quantum field theory
Lattice
Left and right movers
quant-ph
hep-th

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10.1007/s10701-013-9702-z

1205.4107v2Submitted manuscript, 177 KB

Cite this

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title = "Duality between a deterministic cellular automaton and a bosonic quantum field theory in 1+1 dimensions",

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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N2 - 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.

AB - 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.

KW - Cellular automaton

KW - Deterministic

KW - Hilbert space

KW - Quantum field theory

KW - Lattice

KW - Left and right movers

KW - quant-ph

KW - hep-th

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VL - 43

JO - Foundations of Physics

JF - Foundations of Physics

ER -

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

Abstract

Bibliographical note

Keywords

Access to Document

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Cite this