In this brief review I discuss ways and tests of CPT-Violation in the context of quantum gravity theories with space-time foam vacua, which entail quantum decoherence of matter propagating in such backgrounds. I cover a wide variety of sensitive probes, ranging from cosmic neutrinos to meson factories. I pay particular emphasis on associating the latter with specific, probably unique ("smoking-gun"), effects of this type of CPT Violation, related to a modification of Einstein-Podolsky-Rosen (EPR) correlations in the entangled states of the relevant neutral mesons. I also present some semi-microscopic estimates of these latter effects, in the context of a specific string-inspired model of space-time foam ("D-particle foam").
Introduction: arguments in favour of and against Matter Decoherence in Quantum GravityThe theory of Quantum Gravity (QG) is still elusive, despite considerable effort to formulate mathematically consistent models for the description of quantum fluctuations of space time at microscopic scales (Planck length scales of order 10 −35 m). An important unknown factor in such a formulation is the structure of space time at such scales, which could be entirely different from what we are accustomed to from our low-energy experience. In fact, space-time at Planck scales may not even be continuous or commutative.The traditional approach of considering singular microscopic-scale space-time fluctuations due to the formation and subsequent Hawking evaporation of Planck-size black holes in the vacuum leads to speculations [1] about possible loss of quantum coherence ("decoherence") for matter propagating in such topologically non-trivial space-time vacua. Originally, such properties were thought [2] to be generic features of the space-time foam backgrounds [3].An important issue arising in this context concerns the existence of a well-defined scattering matrix in the presence of microscopic black holes (i.e. in the regime of strong quantum gravity); the information encoded in matter fields may not be delivered intact to asymptotic observers. This will lead to an effective (low-energy) decoherence of matter fields propagating in foamy backgrounds. Basically, the matter quantum system is an open system, interacting with the "environment" of quantum gravitational degrees of freedom, not accessible to low-energy observers performing scattering experiments.There is a rich phenomenology of such decoherence models, especially in the context of particle physics [4], using sensitive particle probes, such as neutron interferometry, neutral mesons [2,5,6,7,8,9] or neutrinos [10,11,12,13,14,15,16,17,18]. In this context, R. Wald has proven [19] a strong form of violation of CPT symmetry in quantum field theories involving decoherence due to quantum gravity, in the sense that in such theories the quantum mechanical operator that generates the CPT transformations is not well-defined. In these cases, CPT "Violation" refers to a rather intrinsic microscopic time irreversibility situation ("intrinsic CPT Violation"), and it s...