Contextual logic for quantum systems

In this work we build a quantum logic that allows us to refer to physical magnitudes pertaining to different contexts from a fixed one without the contradictions with quantum mechanics expressed in no-go theorems. This logic arises from considering a sheaf over a topological space associated with th...

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Detalles Bibliográficos
Publicado: 2005
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v46_n1_p_Domenech
http://hdl.handle.net/20.500.12110/paper_00222488_v46_n1_p_Domenech
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00222488_v46_n1_p_Domenech
record_format dspace
spelling paper:paper_00222488_v46_n1_p_Domenech2023-06-08T14:48:13Z Contextual logic for quantum systems In this work we build a quantum logic that allows us to refer to physical magnitudes pertaining to different contexts from a fixed one without the contradictions with quantum mechanics expressed in no-go theorems. This logic arises from considering a sheaf over a topological space associated with the Boolean sublattices of the ortholattice of closed subspaces of the Hilbert space of the physical system. Different from standard quantum logics, the contextual logic maintains a distributive lattice structure and a good definition of implication as a residue of the conjunction. © 2005 American Institute of Physics. 2005 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v46_n1_p_Domenech http://hdl.handle.net/20.500.12110/paper_00222488_v46_n1_p_Domenech
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description In this work we build a quantum logic that allows us to refer to physical magnitudes pertaining to different contexts from a fixed one without the contradictions with quantum mechanics expressed in no-go theorems. This logic arises from considering a sheaf over a topological space associated with the Boolean sublattices of the ortholattice of closed subspaces of the Hilbert space of the physical system. Different from standard quantum logics, the contextual logic maintains a distributive lattice structure and a good definition of implication as a residue of the conjunction. © 2005 American Institute of Physics.
title Contextual logic for quantum systems
spellingShingle Contextual logic for quantum systems
title_short Contextual logic for quantum systems
title_full Contextual logic for quantum systems
title_fullStr Contextual logic for quantum systems
title_full_unstemmed Contextual logic for quantum systems
title_sort contextual logic for quantum systems
publishDate 2005
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v46_n1_p_Domenech
http://hdl.handle.net/20.500.12110/paper_00222488_v46_n1_p_Domenech
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