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quant-phDec 21, 2014
1
citations (OpenAlex)
authors
  • Hector Freytes
  • Graciela Domenech
  • Christian de Ronde
institutions
  • Centro Científico Tecnólogico - Rosario
  • Consejo Nacional de Investigaciones Científicas y Técnicas
  • Fund for Scientific Research
  • Institute of Physics Rosario
  • Instituto de Filosofía
  • Laboratoire d’Économie d’Orléans
  • National University of Rosario
  • University of Cagliari
arXiv abstractPDF
paper

Physical properties as modal operators in the topos approach to quantum mechanics

arXiv:1412.6809 · doi:10.1007/s10701-014-9842-9

Abstract

In the framework of the topos approach to quantum mechanics we give a representation of physical properties in terms of modal operators on Heyting algebras. It allows us to introduce a classical type study of the mentioned properties.

References in corpus (9)

  • The Sheaf-Theoretic Structure Of Non-Locality and Contextuality
  • A Topos Foundation for Theories of Physics: II. Daseinisation and the Liberation of Quantum Theory
  • A topos for algebraic quantum theory
  • The Paraconsistent Logic of Quantum Superpositions
  • The Gelfand spectrum of a noncommutative C*-algebra: a topos-theoretic approach
  • Contextual logic for quantum systems
  • A quantum logical and geometrical approach to the study of improper mixtures
  • A Categorial Semantic Representation of Quantum Event Structures
  • Modal-type orthomodular logic
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