The physical parameters in this simulation are scaled to enhance the time dilation effect.
According to Albert Einstein's Theory of General Relativity, **gravity warps spacetime**. A massive object, like a black hole, creates a strong gravitational field that causes time to pass more slowly for objects nearby than it does for objects far away. This is the phenomenon of **gravitational time dilation**.
A classic example of this is the movie *Interstellar*. In the film, Cooper and Brand visit **Miller's Planet**, which orbits extremely close to a massive black hole named **Gargantua**. Dr. Romilly stays on the **Endurance** spaceship, far from the black hole's intense gravity. When Cooper and Brand return after spending just a few hours on the planet, they discover that 23 years have passed for Romilly.
This simulation allows you to recreate and understand this exact phenomenon. The **Endurance** (blue dot) is in a weak gravitational field and its clock runs normally. **Miller's Planet** (red dot) is in a strong gravitational field, so its clock runs slower. You can observe this by comparing their clock displays and the rotation of their clock hands.
The relationship between time in a strong gravitational field and a weak one is given by the formula for time dilation in a static gravitational field:
Drag the slider to move **Miller's Planet** closer to the black hole. You will see its clock run slower, just like in the movie!