All scenes › Chapter 2 Moving fast slows time
Why a moving clock runs slow
View in 3DImagine a clock where light bounces between two mirrors, one above the other. To the person on the spaceship, the light simply goes straight up and down. But seen from outside, the ship moves forward while the light travels, so the light takes a longer, slanted path. Light always has the same speed, so each round trip takes longer. Seen from outside, the ship’s clock runs slow.
Why?At 60% of light speed, the ship moves 3 steps sideways while the light goes 4 steps up. So the slanted path the light really travels is 5 steps long, like a right triangle with sides 3, 4 and 5. Each tick takes 5 steps instead of 4, so the clock runs at 4 ÷ 5 = 0.80 of the normal rate.
Learn moreThe person on the ship notices nothing. Their heartbeat, their thoughts and their clock all slow down together. The slowdown only shows up when you compare it with another clock. This idea is called special relativity.
seconds this clock ticks while a clock far away in empty space ticks one second · calculated with the formulas of relativity
View this scene in 3D →More in the series
The numbers come from the textbook formulas of relativity (for a non-spinning, ball-shaped mass) and official constants. Sizes, depths and angles in the 3D view are exaggerated so you can see them.