Eli5, Is the relationship between speed and time directly proportional?

Question

I’ve been going down a physics rabbit hole with the speed of light on this sub and am honestly blown away. I understand now that the faster you move the slower you experience time.

Is this relationship directly proportional?
i.e. moving at half the speed of light makes you observe time at half the normal speed.

In: 2

Answer 1

not directly proportional at all. The relationship is given by the Lorentz factor

γ = 1/√ (1-(v²/c²))

At half light speed time is about 15% slower.