I'm not trying to say its intuitive. I'm saying that a lot of physics / science describes the consequences of certain facts. A lot of facts don't actually have "deeper explanations".
As another poster described: Why do Magnets attract each other, but sometimes repel each other?
Well, we can list a ton of consequences, make up stories about negative charge and positive charge (but then why do THOSE things attract / repel each other??). We can craft mathematical laws that describes the nature of this attraction.
But at the end of the day, its just a fact you have to accept. Reality has these things called magnets: they're made up of things that attract each other.
Similarly: Reality itself moves at a certain speed. Physicists call that speed "The Speed of Light". From everyone's point of view, reality propagates out like a wave, and space itself warps to keep things consistent. Its weird. But that's just how the world works.
Step 1 is accepting the fact. Step 2 is performing calculations so that we can start taking advantage of those relativistic effects in engineering and design.