Super sonic airplanes can be observed with sound, they make an explosive sound, you hear the explosion when it passes you and then you hear the shockwave coming from both the destination and the origin.
I think you're getting ahead of yourself here, things traveling faster than the speed of sound absolutely can be observed with sound. A LOT actually. The same would be true for something traveling faster than the speed of light.
We already know this because charged particles traveling faster than the speed of light in a medium emit Cherenkov radiation.
An FTL space ship would do the same, it would emit Cherenkov radiation that would become visible as it pass you and then the radiation would become visible from both the destination and the origin. Even if an FTL ship has no detectable black body radiation it would still be visible just from the fact that it's FTL.
you... missed the part where i said that nothing travel faster than sound didn't you ? ....
and sorry, but slowing down light is not realy going FTL. its just an escamotage to prove something useless.
light is radiation. thats a simplified explenation , but naturaly it would leave radiation if you slow it down. or any particle that is traveling faster in said object that slowed light , would probably leave a wave .
If the two rockets traveling at relativistic speeds can communicate with each other and with their origin point instantly you can arrange them such that you can send messages to your past self.
well, thats a big IF . with us using a system that require a limit speed, thats seems to be the case. as we can't realy test this . math is not rapresentative of reality , it just try to describe it .
but realisticaly is pure nosense , apart from the fact that there doesn't exist FTL way of comunication , we can't even get close to lightspeed .
so... let the idea that FTL is achivable , and FTL comunication is a thing . lightspeed is not the upper limit.
time appear to be the problem in this mental exercise. the math we have now, come to the conclusion that going faster than light will break time\space .
why? why it wasn't sound speed the limit of space\time ? why it wasn't going 10 km\h or anything else? why it doesn't happen if not in our mathematical problems?
simple, we don't understand time OR FTL doesn't exist.
if you want FTL to exist, you have to understand that our current theory MUST be wrong.
now, in math this is something we usualy do, and end up PROVING the theory was right ,so we would probably end up proving there is no FTL .
but keep the assumption that FTL is real, theory is wrong.
i've a board with the information to go left , i go left with FTL but there is no way left, so i FTL back and tell an observe that i was wrong with FTL, and to go right.
the observer then FTL and tell me i was wrong and to go right.
all this happen in FTL speed, information and travel .
this mean that evrything happened in a system that goes FTL , in this system , time is mainteined and casualy isn't altered. since evrything while going faster than light, still goes at the same speed. observer and subjects are in the same system and comunicate instantly .
but evrything happened at the same time? we didn't put an actual distance because i realy don't want to calculate the time passing at FTL speed of short distances .
why there should be timetraveling effects? why we considerate time as something that can go negative?
simple, we can't demonstrate it can go back, as we can't demonstrate it can't go backwards. i'm talking in a universe where FTL EXIST , we don't understand time.