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diazdaiz

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- TL;DR Summary
- Help me determine whether this proof of time dilation formula is valid based on my understanding on ScienceClic's video

I recently trying to learn General Relativity by first scraping the surface on ScienceClic's general relativity playlist, and then I stumbled upon a video where it said that we actually move through spacetime on a constant speed of c, and then I remember about time dilation because how speed on space affect speed on time, here's my attempt on the derivation

We usually write velocity Magnitude as shown below, where Vs is V through space

In this video

at time stamp 1:11, they said we are all moving at a constant speed of light (c) in a spacetime coordinate. Where Vst is V through spacetime and Vt is V through time:

On our frame of reference, we don’t move through space is it not(?), only through time, so

When we see other frame of reference move through space, let say Vs’, we should see him move through time slower when compared to our frame of reference

is this kind of formula derivation valid?

We usually write velocity Magnitude as shown below, where Vs is V through space

In this video

at time stamp 1:11, they said we are all moving at a constant speed of light (c) in a spacetime coordinate. Where Vst is V through spacetime and Vt is V through time:

On our frame of reference, we don’t move through space is it not(?), only through time, so

When we see other frame of reference move through space, let say Vs’, we should see him move through time slower when compared to our frame of reference

is this kind of formula derivation valid?