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Quantization of events in the event-universe and the emergence of quantum mechanics
Quantum mechanics (QM) is derived based on a universe composed solely of events, for example, outcomes of observables. Such an event universe is represented by a dendrogram (a finite tree) and in the limit of infinitely many events by the p-adic tree. The trees are endowed with an ultrametric expres...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10587342/ https://www.ncbi.nlm.nih.gov/pubmed/37857671 http://dx.doi.org/10.1038/s41598-023-44550-4 |
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author | Shor, Oded Benninger, Felix Khrennikov, Andrei |
author_facet | Shor, Oded Benninger, Felix Khrennikov, Andrei |
author_sort | Shor, Oded |
collection | PubMed |
description | Quantum mechanics (QM) is derived based on a universe composed solely of events, for example, outcomes of observables. Such an event universe is represented by a dendrogram (a finite tree) and in the limit of infinitely many events by the p-adic tree. The trees are endowed with an ultrametric expressing hierarchical relationships between events. All events are coupled through the tree structure. Such a holistic picture of event-processes was formalized within the Dendrographic Hologram Theory (DHT). The present paper is devoted to the emergence of QM from DHT. We used the generalization of the QM-emergence scheme developed by Smolin. Following this scheme, we did not quantize events but rather the differences between them and through analytic derivation arrived at Bohmian mechanics. We remark that, although Bohmian mechanics is not the main stream approach to quantum physics, it describes adequately all quantum experiments. Previously, we were able to embed the basic elements of general relativity (GR) into DHT, and now after Smolin-like quantization of DHT, we can take a step toward quantization of GR. Finally, we remark that DHT is nonlocal in the treelike geometry, but this nonlocality refers to relational nonlocality in the space of events and not Einstein’s spatial nonlocality. By shifting from spatial nonlocality to relational we make Bohmian mechanics less exotic. |
format | Online Article Text |
id | pubmed-10587342 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-105873422023-10-21 Quantization of events in the event-universe and the emergence of quantum mechanics Shor, Oded Benninger, Felix Khrennikov, Andrei Sci Rep Article Quantum mechanics (QM) is derived based on a universe composed solely of events, for example, outcomes of observables. Such an event universe is represented by a dendrogram (a finite tree) and in the limit of infinitely many events by the p-adic tree. The trees are endowed with an ultrametric expressing hierarchical relationships between events. All events are coupled through the tree structure. Such a holistic picture of event-processes was formalized within the Dendrographic Hologram Theory (DHT). The present paper is devoted to the emergence of QM from DHT. We used the generalization of the QM-emergence scheme developed by Smolin. Following this scheme, we did not quantize events but rather the differences between them and through analytic derivation arrived at Bohmian mechanics. We remark that, although Bohmian mechanics is not the main stream approach to quantum physics, it describes adequately all quantum experiments. Previously, we were able to embed the basic elements of general relativity (GR) into DHT, and now after Smolin-like quantization of DHT, we can take a step toward quantization of GR. Finally, we remark that DHT is nonlocal in the treelike geometry, but this nonlocality refers to relational nonlocality in the space of events and not Einstein’s spatial nonlocality. By shifting from spatial nonlocality to relational we make Bohmian mechanics less exotic. Nature Publishing Group UK 2023-10-19 /pmc/articles/PMC10587342/ /pubmed/37857671 http://dx.doi.org/10.1038/s41598-023-44550-4 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Shor, Oded Benninger, Felix Khrennikov, Andrei Quantization of events in the event-universe and the emergence of quantum mechanics |
title | Quantization of events in the event-universe and the emergence of quantum mechanics |
title_full | Quantization of events in the event-universe and the emergence of quantum mechanics |
title_fullStr | Quantization of events in the event-universe and the emergence of quantum mechanics |
title_full_unstemmed | Quantization of events in the event-universe and the emergence of quantum mechanics |
title_short | Quantization of events in the event-universe and the emergence of quantum mechanics |
title_sort | quantization of events in the event-universe and the emergence of quantum mechanics |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10587342/ https://www.ncbi.nlm.nih.gov/pubmed/37857671 http://dx.doi.org/10.1038/s41598-023-44550-4 |
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