Extracontextuality and Extravalence in Quantum Mechanics
arXiv:1801.01398 · doi:10.1098/rsta.2017.0311
Abstract
We develop the point of view where Quantum Mechanics results from the interplay between the quantized number of "modalities" accessible to a quantum system, and the continuum of "contexts" that are required to define these modalities. We point out the specific roles of "extracontextuality" and "extravalence" of modalities, and relate them to the Kochen-Specker and Gleason theorems.
Article prepared as the Proceedings of the conference "Foundations of quantum mechanics and their impact on contemporary society", 11-12 December 2017, The Royal Society, London, UK. In v2 some edition and clarification following referee remarks; to appear in Phil. Trans. R. Soc. A (2018)
References in corpus (1)
Cited by in corpus (15)
- What is quantum in quantum randomness?
- Deriving Born's rule from an Inference to the Best Explanation
- Contextual inferences, nonlocality, and the incompleteness of quantum mechanics
- A generic model for quantum measurements
- Completing the quantum formalism in a contextually objective framework
- From Quantum Foundations to Applications and Back
- Quantum music, quantum arts and their perception
- Foundations of quantum mechanics and their impact on contemporary society
- Roots and (re)sources of value (in)definiteness versus contextuality. A contribution to the Pitowsky Volume in memory of Itamar Pitowsky (1950--2010)
- Extending Kolmogorov's axioms for a generalized probability theory on collections of contexts
- Quantum violation of the Suppes-Zanotti inequalities and "contextuality"
- The Einstein-Bohr debate: finding a common ground of understanding ?
- Generalized Householder transformations
- Quantum advantage by relational queries about physically realizable equivalence classes
- Revisiting Born's rule through Uhlhorn's and Gleason's theorems