JOURNAL ARTICLE
Cellular automaton ontology, bits, qubits and the Dirac equation.
Published In: International Journal of Quantum Information, 2024, v. 22, n. 6. P. 1 1 of 3
Database: Academic Search Ultimate 2 of 3
Authored By: Elze, Hans-Thomas 3 of 3
Abstract
Cornerstones of the Cellular Automaton Interpretation of Quantum Mechanics are its ontological states that evolve by permutations, in this way never creating would-be quantum mechanical superposition states. We review and illustrate this with a classical Ising spin chain. It is shown that it can be related to the Weyl equation in the continuum limit. Yet, the model of discrete spins or bits unavoidably becomes a model of qubits by generating superpositions, if only slightly deformed. We study modifications of its signal velocity which, however, do not relate to mass terms. To incorporate the latter, we consider the Dirac equation in 1+1 dimensions and sketch an underlying discrete deterministic "necklace of necklaces" automaton that qualifies as ontological. [ABSTRACT FROM AUTHOR]
Additional Information
- Source:International Journal of Quantum Information. 2024/09, Vol. 22, Issue 6, p1
- Document Type:Article
- Subject Area:History
- Publication Date:2024
- ISSN:0219-7499
- DOI:10.1142/S0219749924500138
- Accession Number:180651336
- Copyright Statement:Copyright of International Journal of Quantum Information is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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