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arXiv:quant-ph/00040377Apr2000 "VIOLATING" CLAUSER-HORNE INEQUALITIES WITHIN
 

Summary: arXiv:quant-ph/00040377Apr2000
"VIOLATING" CLAUSER-HORNE INEQUALITIES WITHIN
CLASSICAL MECHANICS
S. ANTOCI AND L. MIHICH
Abstract. Some authors have raised the question whether the probabilities
stemming from a quantum mechanical computation are entitled to enter the
Bell and the Clauser-Horne inequalities. They have remarked that if the quan-
tum probabilities are given the status of conditional ones and the statistics for
the various settings of the detectors in a given experiment is properly kept
into account, the inequalities happen to be no longer violated. In the present
paper a classical simile modeled after the quantum mechanical instances is
closely scrutinised. It is shown that the neglect of the conditional charac-
ter of the probabilities in the classical model leads not only to "violate" the
Clauser-Horne inequalities, but also to contradict the very axioms of classical
probability theory.
1. Introduction
Many years have elapsed since Bell [1], [2] nailed down his prolegomena to any
future hidden-variables theory, and Horne and Clauser worked out their inequalities
[3], that shifted the whole issue from the realm of the Gedankenexperimente to the
optical laboratories. And from these workshops of empirical evidence the response

  

Source: Antoci, Salvatore - Dipartimento di Fisica, Universita' di Pavia

 

Collections: Physics