Abstract
From the data release of OPERA - CNGS experiment, and publicly announced on 23 Septem- ber 2011, we cast a phenomenological toy model based on a Majorana neutrino state carrying an imaginary mass term, already discussed by Majorana in 1932. This imaginary term can be a fictious term induced by the interaction with the matter of the Earth's crust during the 735 Km travel or it could represent a proof of a particular real solution representing a Majorana neutrino propagating in a medium. Possible violations to Lorentz invariance due to quantum gravity effect have been considered.

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