Derivation of Born Rule from Algebraic and Statistical Axioms

2013/04/24 by Izumi Ojima, Ojima, Izumi, Kazuya Okamura +3
Computer Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Logic #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Random Matrices and Applications #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1304.6618

openalex publication_date 2013/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper we propose a new axiomatic system of algebraic and statistical axioms as working hypotheses, from which Born rule can be seen to emerge. In this process the concept of sectors defined as quasi-equivalence classes of factor states plays a crucial role.

Citations

• Micro-Macro Duality in Quantum Physics

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