The Logos Categorical Approach to Quantum Mechanics: I. Kochen-Specker Contextuality and Global Intensive Valuations
Christian de Ronde,César Massri +1 more
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The logos categorical approach to QM attempts to consider the main features of the quantum formalism as the standpoint to develop a conceptual representation that explains what the theory is really talking about —rather than as problems that need to be bypassed to allow a restoration of a classical “common sense” understanding of what there is.Abstract:
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 to develop a conceptual representation that explains what the theory is really talking about —rather than as problems that need to be bypassed in order to allow a restoration of a classical “common sense” understanding of what there is. In particular, we discuss a solution to Kochen-Specker contextuality through the generalization of the meaning of global valuation. This idea has been already addressed by the so called topos approach to QM —originally proposed by Isham, Butterfiled and D oring— in terms of sieve-valued valuations. The logos approach to QM presents a different solution in terms of the notion of intensive valuation. This new solution stresses an ontological (rather than epistemic) reading of the quantum formalism and the need to restore an objective (rather than classical) conceptual representation and understanding of quantum physical reality.read more
Citations
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Understanding quantum mechanics: a review and synthesis in precise language
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Quantum Probability: a reliable tool for an agent or a reliable source of reality?
TL;DR: In this article, the concept of quantum probability within quantum computation and quantum computational logic has been analyzed and a particular objectivist interpretation grounded on the idea that the Born rule provides information about an intensive realm of reality has been proposed.
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The Logos Categorical Approach to Quantum Mechanics: II. Quantum Superpositions and Intensive Values
TL;DR: This paper argues that the logos categorical approach allows not only to better visualize the structural features of quantum superpositions providing an anschaulich content to all terms, but also to restore an objective representation of what QM is really talking about.
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Understanding quantum mechanics: a review and synthesis in precise language
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