CPT and Lorentz symmetry tests with entangled neutral kaons at KLOE/KLOE-2

The KLOE experiment at the DA Phi NE phi-factory located at the INFN Laboratory in Frascati, Italy collected data corresponding to 2.5 fb(-1) (o)f integrated luminosity. Neutral kaon pairs produced in phi-meson decays offer a unique possibility to perform tests of fundamental discrete symmetries. The entanglement of the two kaons is exploited to search for possible violation of CPT symmetry and Lorentz invariance in the context of the Standard-Model Extension (SME) framework. A new approach to the analysis of phi -> KSKL -> pi(+)pi(-),pi(+)pi(-) events has been adopted allowing us to independently measure all four CPT violating parameters Delta a(mu) appearing for neutral kaons in the SME. The final KLOE results on Delta a(mu) will be presented. These are presently the most precise measurements in the quark sector of the SME.