Quote:
Originally Posted by Alexander
I thought and correct me if am wrong that the particles rate of decay is identical only their position in space time relative to each other has changed so an observer at a static point in space-time will be under the illusion one particle has decayed slower than the other when all we have done is alter the positions in a flow of space-time by inputting energy into one particle but the speed through time of each particle has not altered meaning speed c?.
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Why is it an illusion? We can synchronize two atomic clocks, leave one on the ground and put the other on a jet-plane and fly it around the world and when the plane returns the clocks are not synchronized anymore. One atomic clock has ticked differently to another, due to time-dilation (this has been done). The difference in the elapsed times on the clocks when they are both back in the same place is no illusion.
If you put your identical twin on a spaceship and send him off on a journey at relativistic speeds, when he returns he
will be younger than you. Whatever speed you are moving at, c is always around 300,000 km/h faster than you.