Heuristic Classification of Physical Theories based on Quantum Correlations

TL;DR

This paper proposes a hierarchical classification of physical theories based on quantum correlations, using Bell inequalities to quantify the degree of correlation in bipartite systems.

Contribution

It introduces a novel hierarchical framework for classifying hidden variables theories according to their correlation properties in quantum systems.

Findings

Classifies physical theories based on Bell inequality violations.

Identifies different types of hidden variables theories.

Provides a structured approach to understanding quantum correlations.

Abstract

Taking quantum formalism as a point of reference and connection, we explore the various possibilities that arise in the construction of physical theories. Analyzing the distinct physical phenomena that each of them may describe, we introduce the different types of hidden variables theories that correspond to these physical phenomena. A hierarchical classification of the offered theories, based on the degree of correlation between dichotomic observables in bipartite systems, as quantified by a Bell type inequality, is finally proposed.