Entanglement—A Higher Order Symmetry
Can we accurately model the spin state of a quantum particle? If so, we should be able to make identical copies of such a state and also obtain its mirror image. In quantum mechanics, many subatomic particles can form entangled pairs that are mirror images of each other, although the state of an ind...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Physical Sciences Forum |
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| Online Access: | https://www.mdpi.com/2673-9984/7/1/4 |
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| author | Paul O’Hara |
| author_facet | Paul O’Hara |
| author_sort | Paul O’Hara |
| collection | DOAJ |
| description | Can we accurately model the spin state of a quantum particle? If so, we should be able to make identical copies of such a state and also obtain its mirror image. In quantum mechanics, many subatomic particles can form entangled pairs that are mirror images of each other, although the state of an individual particle cannot be duplicated or cloned as experimentally demonstrated by Aspect, Clauser and Zeilinger, the winners of the Nobel Prize in Physics 2022. We show that there is a higher-order symmetry associated with the SL(2,C) group that underlies the singlet state, which means that the singlet pairing preserves Lorentz transformations independently of the metric used. The Pauli exclusion principle can be derived from this symmetry. |
| first_indexed | 2024-03-11T02:00:26Z |
| format | Article |
| id | doaj.art-e0b5c63da07b474db043dcd9f97b12ff |
| institution | Directory Open Access Journal |
| issn | 2673-9984 |
| language | English |
| last_indexed | 2024-03-11T02:00:26Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Physical Sciences Forum |
| spelling | doaj.art-e0b5c63da07b474db043dcd9f97b12ff2023-11-18T12:20:11ZengMDPI AGPhysical Sciences Forum2673-99842023-02-0171410.3390/ECU2023-14011Entanglement—A Higher Order SymmetryPaul O’Hara0Ontology and Scientific Reasoning, Istituto Universitario Sophia, 50064 Figline e Incisa Valdarno, FI, ItalyCan we accurately model the spin state of a quantum particle? If so, we should be able to make identical copies of such a state and also obtain its mirror image. In quantum mechanics, many subatomic particles can form entangled pairs that are mirror images of each other, although the state of an individual particle cannot be duplicated or cloned as experimentally demonstrated by Aspect, Clauser and Zeilinger, the winners of the Nobel Prize in Physics 2022. We show that there is a higher-order symmetry associated with the SL(2,C) group that underlies the singlet state, which means that the singlet pairing preserves Lorentz transformations independently of the metric used. The Pauli exclusion principle can be derived from this symmetry.https://www.mdpi.com/2673-9984/7/1/4entanglementcoupling principlerotational invariancemicro-causalityFermi-Dirac statisticsquantum gravity |
| spellingShingle | Paul O’Hara Entanglement—A Higher Order Symmetry Physical Sciences Forum entanglement coupling principle rotational invariance micro-causality Fermi-Dirac statistics quantum gravity |
| title | Entanglement—A Higher Order Symmetry |
| title_full | Entanglement—A Higher Order Symmetry |
| title_fullStr | Entanglement—A Higher Order Symmetry |
| title_full_unstemmed | Entanglement—A Higher Order Symmetry |
| title_short | Entanglement—A Higher Order Symmetry |
| title_sort | entanglement a higher order symmetry |
| topic | entanglement coupling principle rotational invariance micro-causality Fermi-Dirac statistics quantum gravity |
| url | https://www.mdpi.com/2673-9984/7/1/4 |
| work_keys_str_mv | AT paulohara entanglementahigherordersymmetry |