Quantum probabilities and the Born rule in the intuitionistic\n interpretation of quantum mechanics

2016/10/06 by Arkady Bolotin, Bolotin, Arkady
Mathematics · Physics and Astronomy · #Calculus (dental) #Computer science #Consistent histories #Constructive #Discrete mathematics #Epistemology #FOS: Physical sciences #Interpretation (philosophy) #Interpretations of quantum mechanics #Intuitionistic logic #Law of excluded middle #Linguistics #Mathematics #Philosophy #Physics #Process (computing) #Propositional calculus #Quantum #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum computer #Quantum dynamics #Quantum logic #Quantum mechanics #Quantum probability #Quantum process #Relational quantum mechanics #Theoretical physics #quant-ph

paper · pdf · doi:10.48550/arxiv.1610.01847

published in arXiv (Cornell University) (Cornell University) · 14 pages, Title and abstract changed, some errors rectified

openalex publication_date 2016/10/06 · arxiv created 2017/02/12 · arxiv updated 2017/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper presents a novel explanation of the cause of quantum probabilities\nand the Born rule based on the intuitionistic interpretation of quantum\nmechanics where propositions obey constructive (intuitionistic) logic. The use\nof constructive logic makes it possible (through a replacement of the concept\nof truth with the concept of constructive probability) to abandon the law of\nexcluded middle in the intuitionistic interpretation.\n

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