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Do tachyons exist? Unlike neutrons, tachyons are not actually required to exist by any physical theory and indeed their existence would raise more problems than it would solve (special relativity would be wrong for a start- which would be kind of awesome). Although it is possible to describe them mathematically it would appear certain that tachyons do not exist in the real Universe. Little has been written about them in scientific publications recently apart from some fevered speculations in 2011 when CERN researchers thought they had observed neutrinos moving faster than light, results later found to be in error.
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http://www.armaghplanet.com/blog/what-ever-happened-to-tachyons.html