Matter-induced T-invariance violation in neutrino oscillations requires an asymmetric matter potential along the neutrino path, and for Earth-bound experiments the effect is numerically tiny.
The dotted lines correspond to oscillations in vacuum while the solid and dashed lines correspond to oscillations in constant matter with A = 1.1 × 10−3 eV2/GeV
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On T-Invariance Violation in Neutrino Oscillations and Matter Effects
Matter-induced T-invariance violation in neutrino oscillations requires an asymmetric matter potential along the neutrino path, and for Earth-bound experiments the effect is numerically tiny.