this post was submitted on 08 Sep 2023
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Time relativity always boggles my brain, I accept the fact but I find crazy that if I strap my twin and his atomic clock to a rocket and send them out to the stratosphere at the speed of light, when they return he'll be younger than me and his clock will be running behind mine. Crazy
It's even crazier because you don't need to reach the speed of light. It'll happen in a smaller degree for any speed. Even in mundane conditions.
For example, if your twin spent four days in a 300km/h bullet train, for you it would be four days plus a second.
Usually this difference is negligible, but for satellites (that run at rather high speeds, for a lot of time, and require precision), if you don't take time dilation into account they misbehave.
(For anyone wanting to mess with the maths, the formula is Δt' = Δt / √[1 - v²/c²]. Δt = variation of time for the observer (you), Δt' = variation of time for the moving entity (your twin), v = the moving entity's speed, c = speed of light. Just make sure that "v" and "c" use the same units.)
I wonder how long it would have taken for us to figure out time dilation in Einstein hadn't predicted it. I wonder if it would have taken until we observed it with satellites.
IIRC the orbit of Mercure doesn't work with Newton Model, and astronomers were predicted the discovery of Vulcain a small planet between Mercure and the Sun. So a new model had to be invented since Vulcain couldn't be found.