2023/12/19 by Andrei Khrennikov, Khrennikov, Andrei · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Bohr model #Calculus (dental) #Classical physics #Computer science #Engineering #FOS: Mathematics #FOS: Physical sciences #Formalism (music) #Framing (construction) #Mathematics #Physics #Probability (math.PR) #Probability theory #Pure mathematics #Quantum #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum dynamics #Quantum measurement #Quantum mechanics #Quantum probability #Quantum process #Statistical physics #Statistics #Theoretical physics #Von Neumann architecture
paper · pdf · doi:10.48550/arxiv.2312.13300
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2023/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop the contextual measurement model (CMM) which is used for clarification of the quantum foundations. This model matches with Bohr's views on the role of experimental contexts. CMM is based on contextual probability theory which is connected with generalized probability theory. CMM covers measurements in classical, quantum, and semi-classical physics. The CMM formalism is illustrated by a few examples. We consider CMM framing of classical probability, the von Neumann measurement theory, the quantum instrument theory. CMM can also be applied outside of physics, in cognition, decision making, and psychology, so called quantum-like modeling.