Mathematical and Physical Examination of the Locality Condition in Bell's Theorem

摘要

Using the Clauser-Horne model of Bell's theorem, the locality condition is examined, and it is shown that the corresponding formulation is equivalent to a factorization process consisting of three stages. The first stage is introduced based on the conditional probability definition in the classical theory of probability, and the other two stages are based on previously known relations called the outcome-and parameter-independence conditions.