## Abstract

We consider the Bell experiment for a system described by multipartite states in the case where n dichotomic observables are measured per site. If n is two, we consider a two-setting Bell experiment. If n is M, we consider a M-setting Bell experiment. Two-setting model is an explicit local realistic model for the values of a correlation function, given in a two-setting Bell experiment. M-setting model is an explicit local realistic model for the values of a correlation function, given in a M-setting Bell experiment. Surprisingly we can discuss incompleteness in the Bell theorem. Also, we show a loophole problem of all the Bell-CHSH experimental claims. We discuss every Bell-CHSH experiment admits a local realistic theory if we rule out probability and statistics from the analysis of the experiment. We cannot obtain a violation of a Bell-CHSH inequality when we use only number theory and we do not use probability and statistics.

Original language | English |
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Pages (from-to) | 3426-3435 |

Number of pages | 10 |

Journal | International Journal of Theoretical Physics |

Volume | 59 |

Issue number | 11 |

DOIs | |

State | Published - 01 11 2020 |

Externally published | Yes |

### Bibliographical note

Publisher Copyright:© 2020, Springer Science+Business Media, LLC, part of Springer Nature.

## Keywords

- Formalism
- Quantum measurement theory
- Quantum non locality