Contra Bellum: Bell's theorem as a confusion of languages

TL;DR

This paper reinterprets Bell's theorem as a linguistic confusion across different levels of mathematical models, questioning the foundational assumptions about reality and the logical structure of quantum versus classical worlds.

Contribution

It introduces a hierarchical framework of mathematical models to analyze Bell's theorem, highlighting the recursive violations across levels and challenging traditional interpretations.

Findings

Bell inequalities are violated across multiple hierarchical levels.

The recursive structure questions the classical-quantum distinction.

Inductive reasoning suggests profound implications for the existence of physical entities.

Abstract

Bell's theorem is a conflict of mathematical predictions formulated within an infinite hierarchy of mathematical models. Inequalities formulated at level $k\in\mathbb{Z}$, are violated by probabilities at level $k+1$. We are inclined to think that $k=0$ corresponds to the the classical world, while the quantum one is $k=1$. However, as the $k=0$ inequalities are violated by $k=1$ probabilities, the same relation holds between $k=1$ inequalities violated by $k=2$ probabilities, $k=-1$ inequalities, violated by $k=0$ probabilities, and so forth. Accepting the logic of the Bell theorem, can we prove by induction that nothing exists?