On the geometry of physical measurements: topological and algebraic aspects

DOI10.1016/j.geomphys.2022.104730OpenAlexW3197232192MaRDI QIDQ2684760

Pedro Resende

Publication date: 17 February 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.00933

zbMATH Keywords

measurement problemstably Gelfand quantalesclassical observersgroupoid C*-algebraslocally compact groupoids

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) General theory of (C^*)-algebras (46L05) Quantum measurement theory, state operations, state preparations (81P15) Topological groupoids (including differentiable and Lie groupoids) (22A22) Contextuality in quantum theory (81P13) Quantales (18F75)

Cites Work

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• Open quotients of trivial vector bundles
• Groupoid sheaves as quantale sheaves
• Étale groupoids and their quantales
• Quantales and their sheaves
• A groupoid approach to C*-algebras
• Domain theory in logical form
• Groupoids, inverse semigroups, and their operator algebras
• On quantales and spectra of C*-algebras
• Localic sup-lattices and tropological systems.
• Open maps of involutive quantales
• Quantales and Fell bundles
• The many groupoids of a stably Gelfand quantale
• Sup-lattice 2-forms and quantales
• Relational quantum mechanics
• Functoriality of groupoid quantales. II
• An abstract theory of physical measurements
• Functoriality of groupoid quantales. I.
• Left ideal structure of \(C^*\)-algebras
• A noncommutative theory of Penrose tilings
• Frames and Locales
• An extension of the Galois theory of Grothendieck
• Quantales and C∗-Algebras
• Cartan subalgebras in C*-algebras
• On C*-Diagonals
• The point of pointless topology
• Quantales, observational logic and process semantics
• Fell bundles over groupoids
• Continuous Lattices and Domains
• Étale groupoids as germ groupoids and their base extensions
• Schwinger’s picture of quantum mechanics I: Groupoids
• Foundations for Quantum Mechanics
• THE ALGEBRA OF MICROSCOPIC MEASUREMENT
• Linear structures on locales
• Quantum information. An introduction to basic theoretical concepts and experiments
• On the quantisation of points
• Quantales, finite observations and strong bisimulation

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