IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
A Topological Study of Contextuality and Modality in Quantum Mechanics
Autor/es:
DONECEH G., FREYTES H., CRISTIAN DE RONDE
Revista:
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
Editorial:
Springer verlag
Referencias:
Lugar: New York, Berlin; Año: 2008 vol. 47 p. 168 - 168
ISSN:
0020-7748
Resumen:
Kochen–Specker theorem rules out the non-contextual assignment of values to physical magnitudes. Here we enrich the usual orthomodular structure of quantum mechanical propositions with modal operators. This enlargement allows to refer consistently to actual and possible properties of the system. By means of a topological argument, more precisely in terms of the existence of sections of sheaves, we give an extended version of Kochen–Specker theorem over this new structure. This allows us to prove that contextuality remains a central feature even in the enriched propositional system.