Postulating the Unicity of the Macroscopic Physical World
We argue that a clear view of quantum mechanics is obtained by considering that the unicity of the macroscopic world is a fundamental postulate of physics, rather than an issue that must be mathematically justified or demonstrated. This postulate allows for a framework in which quantum mechanics can...
Saved in:
| Published in | Entropy (Basel, Switzerland) Vol. 25; no. 12; p. 1600 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Switzerland
MDPI AG
29.11.2023
MDPI |
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | We argue that a clear view of quantum mechanics is obtained by considering that the unicity of the macroscopic world is a fundamental postulate of physics, rather than an issue that must be mathematically justified or demonstrated. This postulate allows for a framework in which quantum mechanics can be constructed in a complete mathematically consistent way. This is made possible by using general operator algebras to extend the mathematical description of the physical world toward macroscopic systems. Such an approach goes beyond the usual type-I operator algebras used in standard textbook quantum mechanics. This avoids a major pitfall, which is the temptation to make the usual type-I formalism 'universal'. This may also provide a meta-framework for both classical and quantum physics, shedding new light on ancient conceptual antagonisms and clarifying the status of quantum objects. Beyond exploring remote corners of quantum physics, we expect these ideas to be helpful to better understand and develop quantum technologies. |
|---|---|
| AbstractList | We argue that a clear view of quantum mechanics is obtained by considering that the unicity of the macroscopic world is a fundamental postulate of physics, rather than an issue that must be mathematically justified or demonstrated. This postulate allows for a framework in which quantum mechanics can be constructed in a complete mathematically consistent way. This is made possible by using general operator algebras to extend the mathematical description of the physical world toward macroscopic systems. Such an approach goes beyond the usual type-I operator algebras used in standard textbook quantum mechanics. This avoids a major pitfall, which is the temptation to make the usual type-I formalism ’universal’. This may also provide a meta-framework for both classical and quantum physics, shedding new light on ancient conceptual antagonisms and clarifying the status of quantum objects. Beyond exploring remote corners of quantum physics, we expect these ideas to be helpful to better understand and develop quantum technologies. We argue that a clear view on quantum mechanics is obtained by considering that the unicity of the macroscopic world is a fundamental postulate of physics, rather than an issue that must be mathematically justified or demonstrated. This postulate allows a framework in which quantum mechanics can be constructed, in a complete mathematically consistent way. This is made possible by using general operator algebras to extend the mathematical description of the physical world towards macroscopic systems. Such an approach goes beyond the usual type I operator algebras used in standard textbook quantum mechanics. This avoids a major pitfall, which is the temptation to make the usual type I formalism 'universal'. This may also provide a meta-framework for both classical and quantum physics, shedding a new light on ancient conceptual antagonisms, and clarifying the status of quantum objects. Beyond exploring remote corners of quantum physics, we expect these ideas to be helpful to better understand and develop quantum technologies. |
| Author | Grangier, Philippe Van Den Bossche, Mathias |
| Author_xml | – sequence: 1 givenname: Mathias surname: Van Den Bossche fullname: Van Den Bossche, Mathias organization: Thales Alenia Space, 26, Avenue J.-F. Champollion, 31037 Toulouse, France – sequence: 2 givenname: Philippe orcidid: 0000-0001-8211-8958 surname: Grangier fullname: Grangier, Philippe organization: Laboratoire Charles Fabry, IOGS, CNRS, Université Paris Saclay, 91127 Palaiseau, France |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/38136480$$D View this record in MEDLINE/PubMed https://hal.science/hal-04307736$$DView record in HAL |
| BookMark | eNpdkc1uEzEUhS1U1D9Y8ALVSGzKInD9O_ayigqtFEQXVCwt23OncTQZB3umUt6eSVNSysr21afP9jln5KhPPRLygcJnzg18QSYpowrgDTmlYMxMcICjf_Yn5KyUFQDjE3ZMTrimXAkNp8TcpTKMnRti_1ANS6zu-xjisK1S-3T87kJOJaRNDNXdclticF31K-WueUfetq4r-P55PSf3X69_zm9mix_fbudXi1kQoIdZE5paAQpjvNdCNIIpj9rRADRI32rmKUg0FJVsG4nSKx-c8qBM4HUTAj8nt3tvk9zKbnJcu7y1yUX7NEj5wbo8xNCh1XL6n0HKOadCUaq1FMH4IKVj6LiZXJ_2rqXrXqlurhZ2N4Mprbrm6pFO7OWe3eT0e8Qy2HUsAbvO9ZjGYpkBKVmtjJzQj_-hqzTmfkplRwklJNP05fJdoiVje3gBBbvr0R56nNiLZ-Po19gcyL_F8T8_B5Vw |
| Cites_doi | 10.1007/s10701-020-00326-8 10.3390/e24101380 10.1088/1742-6596/2533/1/012008 10.1007/978-3-030-88781-0 10.2307/2214878 10.1088/1751-8121/ac0d35 10.1007/BF02302261 10.3390/e23121660 10.2307/1969107 10.1016/j.physrep.2012.11.001 10.1017/CBO9781139177160 10.1007/BF00708656 10.1098/rsta.2017.0322 10.1007/BF00499820 10.1088/0264-9381/18/23/302 10.1515/9783110638738 10.3390/e24091285 10.1007/s10701-021-00424-1 10.1017/S0305004100063313 10.1007/s10701-023-00678-x 10.3390/e24020199 10.1103/RevModPhys.94.045007 10.1119/1.13086 10.1098/rsta.2017.0311 10.1103/PhysRevA.106.042208 |
| ContentType | Journal Article |
| Copyright | 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. Distributed under a Creative Commons Attribution 4.0 International License |
| Copyright_xml | – notice: 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. – notice: Distributed under a Creative Commons Attribution 4.0 International License |
| DBID | NPM AAYXX CITATION 7TB 8FD 8FE 8FG ABJCF ABUWG AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO FR3 HCIFZ KR7 L6V M7S PIMPY PQEST PQQKQ PQUKI PRINS PTHSS 7X8 1XC VOOES DOA |
| DOI | 10.3390/e25121600 |
| DatabaseName | PubMed CrossRef Mechanical & Transportation Engineering Abstracts Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central ProQuest Central Essentials AUTh Library subscriptions: ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Engineering Research Database SciTech Premium Collection (Proquest) (PQ_SDU_P3) Civil Engineering Abstracts ProQuest Engineering Collection ProQuest Engineering Database ProQuest - Publicly Available Content Database ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection MEDLINE - Academic Hyper Article en Ligne (HAL) Hyper Article en Ligne (HAL) (Open Access) Directory of Open Access Journals |
| DatabaseTitle | PubMed CrossRef Publicly Available Content Database Civil Engineering Abstracts Engineering Database Technology Collection Technology Research Database Mechanical & Transportation Engineering Abstracts ProQuest Central Essentials ProQuest One Academic Eastern Edition ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central China ProQuest Central ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection Engineering Research Database ProQuest One Academic Engineering Collection MEDLINE - Academic |
| DatabaseTitleList | CrossRef PubMed MEDLINE - Academic Publicly Available Content Database |
| Database_xml | – sequence: 1 dbid: DOA name: DAOJ: Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: NPM name: PubMed url: https://proxy.k.utb.cz/login?url=http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed sourceTypes: Index Database – sequence: 3 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISSN | 1099-4300 |
| ExternalDocumentID | oai_doaj_org_article_853219e1333146118854c9bc55a2ea39 oai_HAL_hal_04307736v1 10_3390_e25121600 38136480 |
| Genre | Journal Article |
| GroupedDBID | 29G 2WC 5GY 5VS 8FE 8FG AADQD AAFWJ ABDBF ABJCF ACIWK ADBBV AEGXH AENEX AFKRA AFPKN AFZYC ALMA_UNASSIGNED_HOLDINGS BCNDV BENPR BGLVJ CCPQU CS3 DU5 E3Z ESX F5P GROUPED_DOAJ GX1 HCIFZ HH5 IAO ITC J9A KQ8 L6V M7S MODMG M~E NPM OK1 PIMPY PROAC PTHSS RNS RPM TR2 TUS XSB ~8M AAYXX CITATION PGMZT 7TB 8FD ABUWG AZQEC DWQXO FR3 KR7 PQEST PQQKQ PQUKI PRINS 7X8 1XC VOOES |
| ID | FETCH-LOGICAL-c408t-dcd760e499bb844d426be8a1c01c5bf82b105e91e65fd5e5b6bca6b069c37dcc3 |
| IEDL.DBID | DOA |
| ISSN | 1099-4300 |
| IngestDate | Thu Sep 05 15:47:11 EDT 2024 Fri Sep 06 12:17:48 EDT 2024 Fri Aug 16 09:40:09 EDT 2024 Fri Sep 13 07:17:27 EDT 2024 Fri Aug 23 00:20:41 EDT 2024 Thu May 23 23:32:27 EDT 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 12 |
| Keywords | operator algebra contextuality quantum physics |
| Language | English |
| License | Distributed under a Creative Commons Attribution 4.0 International License: http://creativecommons.org/licenses/by/4.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c408t-dcd760e499bb844d426be8a1c01c5bf82b105e91e65fd5e5b6bca6b069c37dcc3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| ORCID | 0000-0001-8211-8958 |
| OpenAccessLink | https://doaj.org/article/853219e1333146118854c9bc55a2ea39 |
| PMID | 38136480 |
| PQID | 2904645281 |
| PQPubID | 2032401 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_853219e1333146118854c9bc55a2ea39 hal_primary_oai_HAL_hal_04307736v1 proquest_miscellaneous_2905527695 proquest_journals_2904645281 crossref_primary_10_3390_e25121600 pubmed_primary_38136480 |
| PublicationCentury | 2000 |
| PublicationDate | 2023-Nov-29 |
| PublicationDateYYYYMMDD | 2023-11-29 |
| PublicationDate_xml | – month: 11 year: 2023 text: 2023-Nov-29 day: 29 |
| PublicationDecade | 2020 |
| PublicationPlace | Switzerland |
| PublicationPlace_xml | – name: Switzerland – name: Basel |
| PublicationTitle | Entropy (Basel, Switzerland) |
| PublicationTitleAlternate | Entropy (Basel) |
| PublicationYear | 2023 |
| Publisher | MDPI AG MDPI |
| Publisher_xml | – name: MDPI AG – name: MDPI |
| References | Semrl (ref_29) 2021; 54 Peres (ref_9) 1982; 50 ref_14 ref_36 ref_13 Grangier (ref_16) 2018; 376 ref_34 ref_33 ref_10 Zeh (ref_12) 1970; 1 Rovelli (ref_23) 1996; 35 Gleason (ref_30) 1957; 6 Grangier (ref_15) 2018; 376 ref_18 Thiemann (ref_32) 2001; 18 Grangier (ref_19) 2021; 51 Grangier (ref_21) 2023; 2533 Swoyer (ref_35) 1991; 87 Coppo (ref_11) 2022; 106 Murray (ref_4) 1943; 44 Budroni (ref_25) 2022; 94 (ref_3) 1939; 6 Uhlhorn (ref_28) 1962; 23 ref_1 Cooke (ref_31) 1985; 98 Jarrett (ref_24) 1984; 18 ref_2 Grangier (ref_20) 2023; 53 ref_27 ref_26 ref_8 ref_5 Allahverdyana (ref_22) 2013; 525 Grangier (ref_17) 2020; 50 ref_7 ref_6 |
| References_xml | – ident: ref_7 – volume: 50 start-page: 1781 year: 2020 ident: ref_17 article-title: Deriving Born’s rule from an Inference to the Best Explanation publication-title: Found. Phys. doi: 10.1007/s10701-020-00326-8 contributor: fullname: Grangier – ident: ref_26 doi: 10.3390/e24101380 – volume: 2533 start-page: 012008 year: 2023 ident: ref_21 article-title: Revisiting Quantum Contextuality in an Algebraic Framework publication-title: J. Phys. Conf. Ser. doi: 10.1088/1742-6596/2533/1/012008 contributor: fullname: Grangier – ident: ref_5 – ident: ref_34 – ident: ref_13 doi: 10.1007/978-3-030-88781-0 – volume: 18 start-page: 569 year: 1984 ident: ref_24 article-title: On the physical significance of the locality condition in the Bell arguments publication-title: Noûs doi: 10.2307/2214878 contributor: fullname: Jarrett – volume: 6 start-page: 885 year: 1957 ident: ref_30 article-title: Measures on the Closed Subspaces of a Hilbert Space publication-title: J. Math. Mech. contributor: fullname: Gleason – volume: 54 start-page: 315301 year: 2021 ident: ref_29 article-title: Wigner symmetries and Gleason’s theorem publication-title: J. Phys. A Math. Theor. doi: 10.1088/1751-8121/ac0d35 contributor: fullname: Semrl – volume: 35 start-page: 1637 year: 1996 ident: ref_23 article-title: Relational quantum mechanics publication-title: Int. J. Theor. Phys. doi: 10.1007/BF02302261 contributor: fullname: Rovelli – ident: ref_18 doi: 10.3390/e23121660 – ident: ref_1 – volume: 44 start-page: 716 year: 1943 ident: ref_4 article-title: On Rings of Operators IV publication-title: Ann. Math. doi: 10.2307/1969107 contributor: fullname: Murray – volume: 525 start-page: 1 year: 2013 ident: ref_22 article-title: Understanding quantum measurement from the solution of dynamical models publication-title: Phys. Rep. doi: 10.1016/j.physrep.2012.11.001 contributor: fullname: Allahverdyana – ident: ref_6 – ident: ref_33 – ident: ref_2 doi: 10.1017/CBO9781139177160 – volume: 1 start-page: 69 year: 1970 ident: ref_12 article-title: On the Interpretation of Measurement in Quantum Theory publication-title: Found. Phys. doi: 10.1007/BF00708656 contributor: fullname: Zeh – volume: 376 start-page: 20170322 year: 2018 ident: ref_16 article-title: What is quantum in quantum randomness? publication-title: Phil. Trans. R. Soc. A doi: 10.1098/rsta.2017.0322 contributor: fullname: Grangier – ident: ref_10 – volume: 87 start-page: 449 year: 1991 ident: ref_35 article-title: Structural representation and surrogative reasoning publication-title: Synthese doi: 10.1007/BF00499820 contributor: fullname: Swoyer – volume: 18 start-page: 4997 year: 2001 ident: ref_32 article-title: Gauge field theory coherent states: IV. Infinite tensor product and thermodynamical limit, section 4 publication-title: Class. Quantum Grav. doi: 10.1088/0264-9381/18/23/302 contributor: fullname: Thiemann – volume: 6 start-page: 1 year: 1939 ident: ref_3 article-title: On infinite direct products publication-title: Compos. Math. – ident: ref_8 doi: 10.1515/9783110638738 – ident: ref_27 doi: 10.3390/e24091285 – volume: 51 start-page: 76 year: 2021 ident: ref_19 article-title: Completing the quantum formalism in a contextually objective framework publication-title: Found. Phys. doi: 10.1007/s10701-021-00424-1 contributor: fullname: Grangier – volume: 98 start-page: 117 year: 1985 ident: ref_31 article-title: An elementary proof of Gleason’s theorem publication-title: Math. Proc. Camb. Phil. Soc. doi: 10.1017/S0305004100063313 contributor: fullname: Cooke – volume: 53 start-page: 45 year: 2023 ident: ref_20 article-title: Contextual unification of classical and quantum physics publication-title: Found. Phys. doi: 10.1007/s10701-023-00678-x contributor: fullname: Grangier – ident: ref_14 doi: 10.3390/e24020199 – volume: 94 start-page: 045007 year: 2022 ident: ref_25 article-title: Kochen-Specker contextuality publication-title: Rev. Mod. Phys. doi: 10.1103/RevModPhys.94.045007 contributor: fullname: Budroni – ident: ref_36 – volume: 50 start-page: 807 year: 1982 ident: ref_9 article-title: Is quantum theory universally valid? publication-title: Am. J. Phys. doi: 10.1119/1.13086 contributor: fullname: Peres – volume: 376 start-page: 20170311 year: 2018 ident: ref_15 article-title: Extracontextuality and extravalence in quantum mechanics publication-title: Phil. Trans. R. Soc. A doi: 10.1098/rsta.2017.0311 contributor: fullname: Grangier – volume: 106 start-page: 042208 year: 2022 ident: ref_11 article-title: Threshold size for the emergence of classical-like behavior publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.106.042208 contributor: fullname: Coppo – volume: 23 start-page: 307 year: 1962 ident: ref_28 article-title: Representation of symmetry transformations in quantum mechanics publication-title: Ark. Fys. contributor: fullname: Uhlhorn |
| SSID | ssj0023216 |
| Score | 2.3768222 |
| Snippet | We argue that a clear view of quantum mechanics is obtained by considering that the unicity of the macroscopic world is a fundamental postulate of physics,... We argue that a clear view on quantum mechanics is obtained by considering that the unicity of the macroscopic world is a fundamental postulate of physics,... |
| SourceID | doaj hal proquest crossref pubmed |
| SourceType | Open Website Open Access Repository Aggregation Database Index Database |
| StartPage | 1600 |
| SubjectTerms | contextuality operator algebra Physics Quantum field theory Quantum mechanics Quantum physics Quantum theory |
| SummonAdditionalLinks | – databaseName: AUTh Library subscriptions: ProQuest Central dbid: BENPR link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3Pb9UwDI7247LLNASMbgMVxLV6TdKkyQltaNMTYtOEmLRbFTvp4NK-jTf-fuy2rxsHODaNEslO4s9x7E-Ij8k6gDqqApSDokKUBdRlLBRgrRIaVRpOTr68ssub6sutud0Sy00uDD-r3JyJw0Ede-Q78oXyYxDOyUUAvgXA9eLT6r5g_iiOs05kGttiV8mKA7a7Z-dX199m50sracfKQprc_EViuy4tJ7Y9s0dD2X6yMj_4UeS_EOdgeS4OxP4EGfPTUccvxFbqXgrPLLsD9VZ3lxOIywk8IiHqvG-Hz8vA82G_-on59aSLfHg580rcXJx__7wsJhqEAqvSrYuIsbZlItcEwFVVJJsKyQWJpUQDrVNAGCl5maxpo0kGLGCwUFqPuo6I-rXY6fouvRG51DJSW7C29eTJoW_blstzx9boYANk4sNGGM1qrHbRkJfAEmtmiWXijMU0d-AC1UND_3DXTOu9IRRAZ2EiD1gzc7h0zlToAY0JKgXtaSYS8l9jLE-_NtzGVcjqWtvfMhMnGx0009b61TwthEy8n3_TpuBIR-hS_zj04cpy1ptMHI66m6ciiKJt5cqj_w9-LPaYWZ7TDpU_ETvrh8f0lvDHGt5NS-sPyeHZ7g priority: 102 providerName: ProQuest |
| Title | Postulating the Unicity of the Macroscopic Physical World |
| URI | https://www.ncbi.nlm.nih.gov/pubmed/38136480 https://www.proquest.com/docview/2904645281/abstract/ https://search.proquest.com/docview/2905527695 https://hal.science/hal-04307736 https://doaj.org/article/853219e1333146118854c9bc55a2ea39 |
| Volume | 25 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3BTtwwELXK9sIFtWqBLXQVENeI2I4d-8hWLCsECFUg7S3yjB3gkkXt0u9nJsmu4FD10kuk2EmczMSa92TPGyFOknUAVVQ5KAd5iShzqIqYK8BKJTSqMJycfH1j5_fl5cIs3pT64j1hvTxwb7hTCic0qRJRKc0lqKVzpkQPaExQKeg-dU-aNZkaqBbdY3sdIU2k_jRxFJeW09jeRJ9OpJ9iyiNvgfwbvuzizOyT2BkAYnbWv9hn8SG1X4Tnmrpdoa32ISPIlhFURMLP2bLpTq8Dj4fL5yfMbgfLZ90-ma_ifnZ-92OeD0UPciwLt8ojxsoWiYgIgCvLSBEUkgsSC4kGGqeAEFHyMlnTRJMMWMBgobAedRUR9a4Ytcs27YtMahmpLVjbeOJt6JumYTHu2BgdbICxOF4bo37utS1q4gRssXpjsbGYspk2F7AcdddATqoHJ9X_chKNREZ-94z52VXNbaw5VlXa_pFjcbj2QT1MpN-18v3aq6Puo003TQFe1whtWr5017COnPVmLPZ6322GIkCibemKb__jMw7ENleb51RE5Q_FaPXrJX0nTLKCidhys4uJ-Dg9v7n9Oel-RjpeLOQrWsTe-Q |
| link.rule.ids | 230,315,786,790,870,891,2115,12792,21416,27957,27958,33408,33409,33779,33780,43635,43840,74392,74659 |
| linkProvider | Directory of Open Access Journals |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1Nb9QwELWgHOCCWvEVKCUgrlFjO3bsU1UQywK7FYdW6s2yx07hkiztlt_PjJMNcIBjHMuWZmzPG49nHmNvkzYhtFFUQZhQNQC8Cm0dKxGgFQmUqBUlJ6_P9PKi-XypLqcLt5vpWeXuTMwHdRyA7siPhR2DcIafbH5UxBpF0dWJQuMuu9dINJ2UKb74ODtcUnA9VhOS6NofJ7LlXFMy2x82KJfqR8vyjR5C_gtlZmuz2GcPJ5hYno56PWB3Uv-IWWLWzXRb_VWJwK1EwAiIosuhy59rT_PBsPkO5ddJ_mV-LfOYXSw-nL9fVhP1QQVNbbZVhNjqOqE7EoJpmoh2NCTjOdQcVOiMCIiLkuVJqy6qpIIO4HWotQXZRgD5hO31Q5-esZJLHrHNa91Z9N7Adl1HJbljp6TXPhTszU4YbjNWuHDoGZDE3Cyxgr0jMc0dqCh1bhiur9y0xh1afjz_Enq9ktjCuTGqARtAKS-SlxZnQiH_NcbydOWojSqPta3UP3nBDnc6cNN2unG_lV-w1_Nv3AgU3fB9Gm5zH6omp60q2NNRd_NUCEukbkz9_P-Dv2L3l-frlVt9Ovvygj0gZnlKOxT2kO1tr2_TS8Qf23CUF9kv2-nXuw |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1Lb9QwELaglRCXCsQrfUBAXKON7dixT6gtXS3QrlaISr1Z8dgpXJJtu-X3M5N4AxzgGMeypZmx5xt7PB9j76M23tdBFF4YX1QAvPB1GQrhoRYRlCgVPU6-WOrFZfX5Sl2l_Ke7lFa53ROHjTr0QGfkM2HHSzjDZ21Ki1h9nH9Y3xTEIEU3rYlO4yHbrSut0MJ3T86Wq69T-CUF12NtIYmB_iySZ-eanrb94ZGGwv3oZ75TWuS_MOfge-ZP2F4CjfnxqOWn7EHsnjFLPLsD-VZ3nSOMyxE-AmLqvG-Hz4uG5oN-_QPyVdJGPuTOPGeX87Nvp4siESEUUJVmUwQItS4jBifem6oK6FV9NA2HkoPyrREeUVK0PGrVBhWV1x4a7UttQdYBQL5gO13fxVcs55IHbGu0bi3GcmDbtqUC3aFVstGNz9i7rTDceqx34TBOIIm5SWIZOyExTR2oRPXQ0N9eu2TxDnEA7oYRY2BJ3OHcGFWB9aBUI2IjLc6EQv5rjMXxuaM2qkNW11L_5Bk73OrApcV1536bQsbeTr9xWdBdR9PF_n7oQ7XltFUZeznqbpoKQYrUlSn3_z_4G_YILcydf1p-OWCPiWae3iAKe8h2Nrf38QjByMa_Tlb2C7ug3V4 |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Postulating+the+Unicity+of+the+Macroscopic+Physical+World&rft.jtitle=Entropy+%28Basel%2C+Switzerland%29&rft.au=Van+Den+Bossche%2C+Mathias&rft.au=Grangier%2C+Philippe&rft.date=2023-11-29&rft.eissn=1099-4300&rft.volume=25&rft.issue=12&rft_id=info:doi/10.3390%2Fe25121600&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1099-4300&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1099-4300&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1099-4300&client=summon |