Why Earth can grow old while the traveller barely does
One of the most famous ideas in Interstellar happens near the black hole Gargantua. The explorers visit a planet extremely close to the black hole. For them, only a short time passes. Farther away, much more time passes.
The movie gives the dramatic example that roughly one hour on the planet corresponds to seven years far away. That sounds impossible if we imagine time as a universal stopwatch — but Einstein's relativity says there is no single clock that every observer must share.
Two effects are important:
1. Gravitational time dilation
A clock deeper in a gravitational field can run more slowly relative to a clock farther from that massive object. Near a black hole, gravity can become extreme, so the difference can become huge.
2. Motion also changes elapsed time
Special relativity says a rapidly moving traveller accumulates less proper time than an observer who is relatively stationary in another frame. This is called velocity time dilation.
The film combines the extreme gravitational environment near Gargantua with orbital motion. The result is that the explorers' clocks can advance much less than clocks far from the black hole.