The signal of ill-defined CPT weakening entanglement in the system.

In the presence of quantum-gravity fluctuations (space-time foam), the CPT operator may be ill-defined. Its perturbative treatment leads to a modification of the Einstein-Podolsky-Rosen correlation of the neutral meson system by adding an entanglement-weakening term of the wrong exchange symmetry, the -effect. In the current paper we identify how to probe the complex in the entangled -system using the flavour ()-CP() eigenstate decay channels: the connection between the intensities for the two time-ordered decays (, ) and (, ) is lost. Appropriate observables are constructed allowing independent experimental determinations of Re( ) and Im( ), disentangled from CPT violation in the evolution Hamiltonian Re( ) and Im( ). tensions for both Re( ) and Im( ) are shown to be uncorrelated.