The signal of ill-defined CPT weakening entanglement in the $B_d$ 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 $\omega$-effect. In the current paper we identify how to probe the complex $\omega$ in the entangled $B_d$-system using Flavour(f)-CP(g) eigenstate decay channels: the connection between the Intensities for the two time-ordered decays (f, g) and (g, f) is lost. Appropriate observables are constructed allowing independent experimental determinations of Re($\omega$) and Im($\omega$), disentangled from CPT violation in the evolution Hamiltonian Re($\theta$) and Im($\theta$). 2-$\sigma$ tensions for both Re($\theta$) and Im($\omega$) are shown to be uncorrelated. 
Jose Bernabeu, Francisco J. Botella (Valencia U. & IFIC), Nick E.   Mavromatos (King's Coll. London), Miguel Nebot (CFTP Lis...
hep-ph hep-ex