A review of the experimental status of CPT invariance leads to two conclusions: (i) There is no hint of a CPT violation in the data. (ii) CPT invariance has not been probed with a quantitative sensitivity that greatly exceeds that achieved in studies of CP symmetry. I sketch some models where CPT violations could be implemented. Yet it is hard to see how those types of ansatz could generate observable effects in the transitions of neutral K mesons. On the other hand the quite special quantum aspects of the reaction φ → KL KS can be harnessed to probe quantum mechanics in novel ways by analyzing EPR like correlations of a kind that have not been studied before. Some comparisons are made with Weinberg's recent formulation of non-linear (though homogenous) quantum mechanics and with generalizations that can be obtained from Bohm's interpretation of quantum mechanics.
Neutral kaons produced in the correlated pairs at the DAΦNE
ϕ -factory offer unique possibilities to perform fundamental tests of CPT invariance, as well as of the basic principles of quantum mechanics. The analysis of the data collected by the KLOE experiment allows to improve results on several parameters describing CPT violation and decoherence, and to measure the regeneration cross section on the beam pipe materials.