Why c is so special? Is there some hidden variable which makes it the limit of spreading...

Why c is so special? Is there some hidden variable which makes it the limit of spreading? Or is it connected to the geometry of space?

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...

Space has something like density and compressibility that defines the speed of light.

[math]
\displaystyle
c = \frac{1}
{ \sqrt{ \varepsilon_0
\mu_0
}
}
[/math]

O-ok.

yeah but what defines the density and compressibility? Those two are just constants also, right?

Ah, of course

youtube.com/watch?v=kr_CFydcBZc

Watched this couple of hours ago.
How legit is it?
Basically he is saying it's tided to time, so when you hit speed of light, time stops and if you would go faster it would run backwards.
Which sounds logical to me, as a brainlet.

measured to work like that

My guess is it's defined by the exact structure of our universe's Calabi-Yau manifolds.

source: my ass

What's so special about it? Well nothing really, it's no more special than any other constant of nature.
>Is there some hidden variable which makes it the limit of spreading?

Not really. I guess in some "deep" sense it all comes from requiring that the interval [math] ds^2 = c^2 dt^2 - d \vec { x }^2 [/math] is invariant. But from there you might ask "what makes that so special?" And I've no idea, just is.

>so when you hit speed of light, time stops
Well there's some issues with talking about what happens at the speed of light, since light doesn't have a rest frame. But what you can say is that as you go faster time passes relatively slower for you than for someone in relative stationary frame.

>if you would go faster it would run backwards.
Completely wrong. Relativity doesn't say anything about what happens beyond the speed of light, as far as relativity goes it's a completely unphysical region.

The real reason you can't go faster then light is because [eqn] E = \frac { m c^2 } { \sqrt { 1 - \frac { v^2 } { c^2 } [/eqn] so your energy diverges as v tends to c, which means you'd need and infinite amount of energy to accelerate to a massive object to the speed of light.