Edi said:
The main, or one of the main, arguments I hear about neutrinos flying faster than light is that it would violate casualty aka. time travel.
The Light Cone is supposed to be broken, in that case, and impossible things happen.
But, even if neutrinos do travel faster than c - all we need to do is to re name the "light cone" to "neutrino cone" or any other name, witch would be simply .. wider.
or they don't travel at all faster. I don't know.
I am a layman, although I have studied SR to a good extent and think I understand it reasonably well. And, yes, I tend to believe something akin to what you suspect. Probably there is a mistake in the CERN experiment and neutrinos do not travel FTL. But if they did, causality would not be affected.
Causality is not a theory, it is reality, something that seems quite untouchable. In any case, what is not so untouchable is time. Time is a concept we invent to solve problems, like predicting whether an influence (ie a cause) will produce an effect. We feed it with actual measurements. But if in the end we get disoriented, we stop making a judicious use of the idea and end up questioning reality and causality, then there is an easy solution: please just give up the concept, stop measuring and thus causality will be restored…
Being a little more specific, it appears to me that the obvious mistake is attributing to relative time the features of absolute time. Certainly, “relative simultaneity” is what you actually get, when you measure. That is how the universe works and we have to live with it. By the way, the system works quite well and it solves most problems. But it is not “absolute simultaneity”. It does not mean the same thing, it does not contain so much information as the latter. In particular, with relative simultaneity you solve all the problems where the cause travels not faster than light. If the distance between two events is timelike or lightlike, all reference frames agree on the sequence of those events, ie which one was the cause and which the effect. If instead the distance is spacelike, there is discrepancy about the order but that is irrelevant, because those events cannot be causally connected. However, if we now assume that FTL travel is possible, then we must simply recognise that we do not know the answer to some questions. For instance, we do not know if by sending a FLT projectile from event A towards B we can prevent the latter to take place or vice versa. We do not know this because our information is not precise enough. It is not information about absolute simultaneity, which is what the pre-SR physicists expected to have: the certainty that two distant events, if simultaneous, are already unavoidable to each other, even if an instantaneous projectile is sent from one to the other, as if there were no distance in between.
Jamma said:
I suggest a read of this for a very nice simple explanation:
http://www.theculture.org/rich/sharpblue/archives/000089.html
Precisely this approach is very appropriate for showing the absurdity of the idea of FTL travel causing causality violations. The author prefers to talk about a hypothetical instantaneous influence, instead of purely FTL. He argues that this way the principles are the same, only the numbers change, which I suppose is right.
A possible development is as follows:
The distance between events A and B is spacelike.
Event A is that you send an instantaneous projectile from the ground to a traveling ship. According to the simultaneity line of the ground frame, you are in time to prevent event B in the ship and hence you do. That is paradoxical, because according to the ship frame, events A and B were simultaneous and according to a third frame it was even the other way round, event B took place before A.
Furthermore, the receiver in the ship fires back another instantaneous projectile. In the simultaneity line of the ship, you get the projectile… before you sent your own. That is to say, you get your punishment before your crime… And what if that kills you?
Did I make any mistake? If not, I tend to think this means too many paradoxes. There is an easier explanation. We are mixing apples with pears.
Bill_K said:
Sorry, I didn't realize you wanted to discuss philosophy. I only do physics.
Hm… Allow me to be a little provocative, with all respect for your comment. Predicting what may happen and what may not, is it not physics? Wiping paradoxes off and polishing the concepts of the discipline, is it not physics? Conversely, is it only causality violations and the multiverse what is physics?