Wednesday, May 29, 2013
I haven't read this yet:
Contextual logic for quantum systems
Graciela Domenech ∗1 and Hector Freytes 2
February 1, 2008
1. Instituto de Astronom´ıa y F´ısica del Espacio (IAFE)
Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina
2. Escuela de Filosof´ıa - Universidad Nacional de Rosario,
Entre R´ıos 758, 2000, Rosario, Argentina
Abstract
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 to the Boolean sublattices of the ortholattice of closed
subspaces of the Hilbert space of the physical system. Differently to
standard quantum logics, the contextual logic maintains a distributive
lattice structure and a good definition of implication as a residue of
the conjunction.
PACS numbers: 03.65.Ta, 02.10.-v
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