Implications of Space-Time foam for Entanglement Correlations of Neutral Kaons

TL;DR

This paper investigates how space-time foam models affect entanglement in neutral kaons, focusing on CPT invariance violations and the conditions under which entanglement is altered or preserved.

Contribution

It analyzes various models of space-time foam to determine their impact on entanglement and identifies a specific non-critical string model that induces stochastic effects altering bipartite entanglement.

Findings

Evasion of CPT-related entanglement is difficult to achieve.

Non-critical string models with D-particle recoil can modify entanglement.

Thermal bath models do not produce the omega effect.

Abstract

The role of $CPT$ invariance and consequences for bipartite entanglement of neutral (K) mesons are discussed. A relaxation of $CPT$ leads to a modification of the entanglement which is known as the $\omega$ effect. The relaxation of assumptions required to prove the $CPT$ theorem are examined within the context of models of space-time foam. It is shown that the evasion of the EPR type entanglement implied by $CPT$ (which is connected with spin statistics) is rather elusive. Relaxation of locality (through non-commutative geometry) or the introduction of decoherence by themselves do not lead to a destruction of the entanglement. So far we find only one model which is based on non-critical strings and D-particle capture and recoil that leads to a stochastic contribution to the space-time metric and consequent change in the neutral meson bipartite entanglement. The lack of an omega effect is demonstrated for a class of models based on thermal like baths which are generally considered as generic models of decoherence.