Test of quantum nonlocality via vector meson decays to $K_SK_S$

TL;DR

This paper investigates quantum nonlocality using entangled neutral kaons from meson decays, showing that certain decay probabilities under locality assumptions are experimentally excluded, thus supporting quantum nonlocality.

Contribution

It calculates the branching ratios of $K_S K_S$ decays under locality assumptions and compares them with experimental data, proposing future tests.

Findings

The $J/\psi ightarrow K_S K_S$ decay rate under locality is experimentally excluded.

Quantum nonlocality is supported by the exclusion of local realistic decay predictions.

Proposes future experiments to further test quantum nonlocality with kaon decays.

Abstract

In the system of a pair of quantum-entangled neutral kaons from meson decays, when one kaon collapses into the $K_S$ state, the other will collapse instantaneously into the $K_L$ state due to entanglement and nonlocality. However, if the alternative hypothesis is correct and there's a time window during which one kaon is unaware that the other has decayed, some quantum mechanically prohibited $K_SK_S$ decays may occur. We calculate the branching ratios of $K_SK_S$ in vector meson decays under the locality hypothesis and compare them with experimental results. We show that the branching ratio of $J/\psi\rightarrow K_SK_S$ under locality assumption is already excluded by the BESIII experimental upper limit. Additional experimental results are proposed to perform this test in the future.