Could Neutrino Bursts Be the Key to FTL Communication in SETI Research?

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If FTL was true, shouldn't SETI start searching patterns also in neutrino bursts, and not scan as they do now, only electromagnetic radiation? Wouldn't it be wiser for an intelligent species to cut down transmission time, by sending messages using FTL particles?
 
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After a little more research, shouldn't looking for W bosons at 6.3 Pev be a good starting point?
 
I doubt SETI has anywhere close to enough money to do more than search EM.
 

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I asked a question here, probably over 15 years ago on entanglement and I appreciated the thoughtful answers I received back then. The intervening years haven't made me any more knowledgeable in physics, so forgive my naïveté ! If a have a piece of paper in an area of high gravity, lets say near a black hole, and I draw a triangle on this paper and 'measure' the angles of the triangle, will they add to 180 degrees? How about if I'm looking at this paper outside of the (reasonable)...
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