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DC Field | Value | Language |
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dc.contributor.author | Villacís, Carlos | - |
dc.date.accessioned | 2023-05-25T21:45:17Z | - |
dc.date.available | 2023-05-25T21:45:17Z | - |
dc.date.issued | 2022-06-28 | - |
dc.identifier.issn | 0370-3908 | spa |
dc.identifier.uri | https://repositorio.accefyn.org.co/handle/001/2090 | - |
dc.description.abstract | En el presente artículo se propone una concepción de la lógica cuántica como forma de interpretación de la mecánica cuántica. Se establece como hipótesis metodológica la tesis metateórica de la inter-pretación parcial para realizar una reconstrucción del enfoque reticular ortocomplementado modular con el cual Birkhoff y von Neumann iniciaron el desarrollo de la lógica cuántica. Sobre estas bases se elabora una modelización lógica del cálculo proposicional obtenido en comparación analítica con otras estructuras lógico-algebraicas. Se discuten los resultados a partir de la propiedad distributiva y de la capacidad para retener la propiedad de la modularidad. Por último, se ponen de manifiesto problemas heurísticos y formales con respecto al éxito de la consecución de tal núcleo conceptual. | spa |
dc.description.abstract | In this article, a conception of quantum logic is proposed as a way of interpreting quantum mechanics.The metatheoretical thesis of partial interpretation is established as a methodological hypothesis to carry out a reconstruction of the modular orthocomplemented lattice approach with which Birkhoff and von Neumann began the development of quantum logic. On these bases, the logical modeling of the propositional calculus obtained is elaborated via an analytical comparison with other logicalalgebraic structures. The results are discussed from the distributive property and the ability to retain the property of modularity. Finally, heuristic and formal problems are revealed regarding the success of achieving such a conceptual core. | eng |
dc.format.mimetype | application/pdf | spa |
dc.language.iso | spa | spa |
dc.publisher | Academia Colombiana de Ciencias Exactas, Físicas y Naturales | spa |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-sa/4.0/ | spa |
dc.title | Lógica cuántica: enfoque de celosía modular ortocomplementada y tesis de interpretación parcial | spa |
dc.title | Quantum logic: modular orthocomplemented lattice approach and partial interpretation thesis | eng |
dc.type | Artículo de revista | spa |
dcterms.audience | Estudiantes, Profesores, Comunidad científica | spa |
dcterms.references | Aerts, D. (2009). Quantum Axiomatics. En Engesser, K., Gabbay, D.M. y Lehmann, D. (eds.) Handbook of Quantum Logic and Quantum Structures. Amsterdam: North-Holland, pp. 79-126. | spa |
dcterms.references | Birkhoff, G. (1935). Combinatorial Relations in Projective Geometries. Annals of Mathematics, 36(3), 743-748. | spa |
dcterms.references | Birkhoff, G. (1948). Lattice Theory. Nueva York: American Mathematical Society, pp. 1-283. | spa |
dcterms.references | Birkhoff, G. & von Neumann, J. (1936). The Logic of Quantum Mechanics. Annals of Mathematics, 37(4), 823-842. | spa |
dcterms.references | Dalla Chiara, M.L. & Giuntini, R. (2008). Quantum Logics. [arXiv.org > quant-ph > arXiv: quantph/0101028v2] | spa |
dcterms.references | Dalla Chiara, M.L., Giuntini, R., Rédei, M. (2007). The History of Quantum Logic. En Gabbay, D.M. y Woods, J. (eds.) Handbook of the History of Logic: Volume 8: the Many Valued and Nonmonotonic Turn in Logic. Amsterdam: North-Holland, pp. 205-283. | spa |
dcterms.references | Février, P. (1937). Les relations d’incertitude de Heisenberg et la logique. Travaux du IXe Congrès International de Philosophie, 6, 88-94. | spa |
dcterms.references | Grätzer, G. (2011). Lattice Theory Foundation. Birkhäuser. Basilea: Birkhäuser, pp. 1-613. | spa |
dcterms.references | Jammer, M. (1974). The Philosophy of Quantum Mechanics: The Interpretations of Quantum Mechanics in historical perspective. Nueva York: Wiley, pp. 1-536. | spa |
dcterms.references | Jauch, J.M. (1968). Foundations of Quantum Mechanics. Addison-Wesley Publishing Company. Massachusetts: Addison-Wesley Publishing Company, pp. 1-299. | spa |
dcterms.references | Jordan, P. (1932). Ueber eine Klasse nichtassoziativer hyperkomplexer Algebren. Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, pp. 569-575 | spa |
dcterms.references | Mackey, G.W. (1963). Mathematical Foundations of Quantum Mechanics. Nueva York: Benjamin, pp. 1-148. | spa |
dcterms.references | Piron, C. (1964). Axiomatique Quantique. Helvetica Physica Acta, 37, 439-468. | spa |
dcterms.references | Popper, K. (1968). Birkhoff and von Neumann`s Interpretation of Quantum Mechanics. Nature, 219, 682-685. | spa |
dcterms.references | Rédei, M. (2009). The Birkhoff–von Neumann Concept of Quantum Logic. En Engesser, K., Gabbay, D.M. y Lehmann, D. (eds.). Handbook of Quantum Logic and Quantum Structures. Amsterdam: North-Holland, pp. 1-22. | spa |
dcterms.references | Reichenbach, H. (1944). Philosophic Foundations of Quantum Mechanics. California: University of California Press, pp. 1-189. | spa |
dcterms.references | Segal, I.E. (1947). Postulates for General Quantum Mechanics. Annals of Mathematics, 48(4), 930-948. van Fraassen, B. (1974). The Labyrinth of Quantum Logics. En Cohen, R.S. y Wartofsky, M.W. (eds.) Boston Studies in the Philosophy of Science Vol. XIII. Logical and Epistemological Studies in Contemporary Physics. Dordrecht: Reidel Publishing Company, pp. 224-254. | spa |
dcterms.references | von Neumann, J. (1932). Mathematische Grundlagen der Quantenmechanik. Berlín: Springer-Verlag, pp. 1-262. | spa |
dc.rights.accessrights | info:eu-repo/semantics/openAccess | spa |
dc.type.driver | info:eu-repo/semantics/article | spa |
dc.type.version | info:eu-repo/semantics/publishedVersion | spa |
dc.rights.creativecommons | Atribución-NoComercial-CompartirIgual 4.0 Internacional (CC BY-NC-SA 4.0) | spa |
dc.identifier.doi | https://doi.org/10.18257/raccefyn.1625 | - |
dc.subject.proposal | Mecánica cuántica | spa |
dc.subject.proposal | Quantum mechanics | eng |
dc.subject.proposal | Lógica cuántica | spa |
dc.subject.proposal | Quantum logic | eng |
dc.subject.proposal | Interpretación parcial | spa |
dc.subject.proposal | Partial interpretation | eng |
dc.subject.proposal | Modularidad | spa |
dc.subject.proposal | Modularity | eng |
dc.subject.proposal | Enrejado | spa |
dc.subject.proposal | Lattice | eng |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | spa |
dc.relation.ispartofjournal | Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales | spa |
dc.relation.citationvolume | 46 | spa |
dc.relation.citationstartpage | 311 | spa |
dc.relation.citationendpage | 324 | spa |
dc.contributor.corporatename | Academia Colombiana de Ciencias Exactas, Físicas y Naturales | spa |
dc.identifier.eissn | 2382-4980 | spa |
dc.relation.citationissue | 179 | spa |
dc.type.content | Text | spa |
dc.type.redcol | http://purl.org/redcol/resource_type/ART | spa |
oaire.accessrights | http://purl.org/coar/access_right/c_abf2 | spa |
oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | spa |
Appears in Collections: | BA. Revista de la Academia Colombiana de Ciencias Exactas Físicas y Naturales |
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