# What exactly is proved by the violation of Bell's inequality?

## TL;DR

This paper clarifies the precise implications of Bell's inequality violations by analyzing different derivations, resolving confusion about what experimental violations actually prove.

## Contribution

It provides a detailed comparison of Bell's and Peres' derivations to explicitly answer what violations of Bell's inequality demonstrate.

## Key findings

- Different derivations imply different conclusions.
- Clarification of what violations prove about local realism.
- Resolution of longstanding confusion in the interpretation of Bell tests.

## Abstract

Bell's inequality has been derived several times from quite different basic assumptions, which imply different conclusions. This resulted into widespread confusion regarding the exact implications of the experimental violations of the inequality. In this article, the structures of Bell's and of Peres' derivations are analyzed, and the title question is explicitly answered.