Does the paper 1408.2804v7 actually support tachyonic neutrinos?

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mrnike992
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http://arxiv.org/pdf/1408.2804v7.pdfDoes the data cited in this paper truly lead to the conclusion presented? Please note that I am uneducated and do not understand the details of this paper, but it seems to me that tachyons are possible provided they don't have a real rest mass. I'd like to hear what someone who knows what they're talking about has to say about this.
 
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