So, how do you proceed calculating by how much amount time slows down? There's a formula. It is somewhat like this:
Δt' = γΔt
where
γ = 1/√(1-v²/c²)
Δt is the time interval between two events happening at the same place as measured an observer in the same frame of reference. This is also called proper time.
Δt' is the time interval between those same events as measured by another observer moving at a certain velocity with respect to former observer.
v is the relative velocity between the former and later observers.
c is the speed of light.
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