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Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanics
(Elsevier, 2013-12)
In this paper we attempt to physically interpret the Modal Kochen–Specker (MKS) theorem. In order to do so, we analyze the features of the possible properties of quantum systems arising from the elements in an orthomodular ...
The Logos Categorical Approach to Quantum Mechanics: I. Kochen-Specker Contextuality and Global Intensive Valuations
(Springer/Plenum Publishers, 2018-10)
In this paper we present a new categorical approach which attempts to provide an original understanding of QM. Our logos categorical approach attempts to consider the main features of the quantum formalism as the standpoint ...
Simondon and quantum mechanics (or, on how the “preindividual’ hypothesis leads to a realistic but non-substantialist interpretation of the Orthodox quantum formalism)
(Philosophy Documentation Center, 2019-06)
In this article, we propose a Simondonian interpretation of quantum mechanics taking as a standpoint his “preindividual hypothesis” in order to consider the problem of contextuality. We will examine whether the epistemological ...
Contextuality and Indistinguishability
(Molecular Diversity Preservation International, 2017-08)
It is well known that in quantum mechanics we cannot always define consistently properties that are context independent. Many approaches exist to describe contextual properties, such as Contextuality by Default (CbD), sheaf ...
Non-deterministic Semantics for Quantum States
(Multidisciplinary Digital Publishing Institute, 2020-01-28)
In this work, we discuss the failure of the principle of truth functionality in the quantum formalism. By exploiting this failure, we import the formalism of N-matrix theory and non-deterministic semantics to the foundations ...
A topological study of contextuality and modality in quantum mechanics
(Springer/plenum Publishers, 2008-12)
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 ...
Una obstrucción para extender la dualidad de Gelfand al contexto no conmutativo
(2019-01)
Es bien sabida la importancia de la dualidad de Gelfand. En esta construcción, surge el funtor max: CommC∗ alg → Set, que a cada C*-álgebra conmutativa unitaria C, asigna la colección max (C) de sus ideales maximales. Este ...
Particles in a quantum ontology of properties
(Brill Academic Publishers, 2016)
We propose a new quantum ontology, in which properties are the fundamental building blocks. In this property ontology physical systems are defined as bundles of type-properties (specified by algebras of observables in a ...