On a different expression of the classical limit of quantum mechanics

TL;DR

This paper explores how quantum phenomena become classical at large scales, demonstrating that classical models can more easily replicate GHZ state predictions as the number of particles increases, offering a new perspective on the classical limit.

Contribution

It proposes a novel way to express the classical limit of quantum mechanics by analyzing GHZ states and their classical reproductions without loopholes or conspiratorial assumptions.

Findings

Classical models better reproduce GHZ state predictions with increasing particles

Quantum phenomena appear to diminish at macroscopic scales

Provides a new expression for the principle of correspondence

Abstract

The principle of correspondence (or classical limit) is essential in quantum mechanics. Yet, how and why quantum phenomena vanish at the macroscopic scale are issues still open to debate. Here, quantum mechanical predictions for Greenberger-Horne-Zeilinger states of qubits are shown to be easier to reproduce with a classical model as the number of particles increases, even in the absence of loopholes or conspiratorial mechanisms of any kind. It is conjectured that this result may lead to the simplest way to express the principle of correspondence.