Twin Paradox
Imagine two twins, one of whom stays at home, and the other travels out into space and back, reaching speeds close to the speed of light.
Depending on how close to the speed of light the traveling twin comes, less time will have passed for him on his trip than for the twin who stayed at home.
The effect is not symmetrical, and all observers can distinguish between the twin who traveled and the one who didnŐt.