Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanics
TLDR
In this paper, the authors attempt to physically interpret the Modal Kochen-Specker (MKS) theorem and analyze the features of the possible properties about quantum systems arising from the elements in an orthomodular lattice and distinguish the use of possibility in the classical and quantum formalisms.Abstract:
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 about quantum systems arising from the elements in an orthomodular lattice and distinguish the use of “possibility” in the classical and quantum formalisms. Taking into account the modal and many worlds non-collapse interpretation of the projection postulate, we discuss how the MKS theorem rules the constrains to actualization, and thus, the relation between actual and possible realms.read more
Citations
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Book ChapterDOI
Representational Realism, Closed Theories and the Quantum to Classical Limit
TL;DR: In this article, the authors discuss the representational realist stance as a pluralist ontic approach to inter-theoretic relationships and examine how the orthodox project of "bridging the gap" between the quantum and the classical domains has constrained the possibilities of research, producing only a limited set of interpretational problems which only focus in the justification of "classical reality".
Journal ArticleDOI
The Logos Categorical Approach to QM: II. Quantum Superpositions.
Christian de Ronde,César Massri +1 more
TL;DR: In this article, the authors discuss the importance of providing a physical representation of quantum superpositions which goes beyond the mere reference to mathematical structures and measurement outcomes, and argue that in order to restate the problem of interpretation of quantum mechanics in truly ontological terms, we require a radical revision of the problems and definitions addressed within the orthodox literature.
Book ChapterDOI
Representational Realism, Closed Theories and the Quantum to Classical Limit
TL;DR: In this paper, the authors discuss the representational realist stance as a pluralist ontic approach to inter-theoretic relationships and examine how the orthodox project of "bridging the gap" between the quantum and the classical domains has constrained the possibilities of research, producing only a limited set of interpretational problems which only focus in the justification of "classical reality".
Journal ArticleDOI
The Logos Categorical Approach to Quantum Mechanics: I. Kochen-Specker Contextuality and Global Intensive Valuations
Christian de Ronde,César Massri +1 more
TL;DR: In this article, the authors present a new categorical approach which attempts to provide an original understanding of QM by considering the main features of the quantum formalism as the standpoint to develop a conceptual representation that explains what the theory is really talking about.
Journal ArticleDOI
The Logos Categorical Approach to Quantum Mechanics: I. Kochen-Specker Contextuality and Global Intensive Valuations
Christian de Ronde,César Massri +1 more
TL;DR: 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.
References
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Book
Modern Quantum Mechanics
J. J. Sakurai,Jim Napolitano +1 more
TL;DR: Modern Quantum Mechanics as mentioned in this paper is a classic graduate level textbook, covering the main quantum mechanics concepts in a clear, organized and engaging manner, and introduces topics that extend the text's usefulness into the twenty-first century, such as advanced mathematical techniques associated with quantum mechanical calculations.
Mathematical Foundations of Quantum Mechanics
TL;DR: The Mathematical Foundations of Quantum Mechanics as discussed by the authors is a seminal work in theoretical physics that introduced the theory of Hermitean operators and Hilbert spaces and provided a mathematical framework for quantum mechanics.
Book
On the Plurality of Worlds
TL;DR: In this article, the Thesis of Pluraliry of Worlds is used to describe a Philosopher's Paradise, and the Ersatzist Program is used as an alternative.
Journal ArticleDOI
On the Problem of Hidden Variables in Quantum Mechanics
TL;DR: The demonstrations of von Neumann and others, that quantum mechanics does not permit a hidden variable interpretation, are reconsidered in this article, and it is shown that their essential axioms are unreasonable.