Fair enough; but let's just say that despite all the maths involved in physics and all the sub-branches of physics devoted to dimensional theory, all you really need is a little imagination, to start understanding it.
I'm not a physicist, and I certainly don't have the maths skills, but this stuff fascinates me, and I've read the abstracts on a lot of higher dimensional physical theory, astrophysics, spacetime, and I'm just a huge geek, but I see a demonstration in that gif of what I have learned.
I'm by NO means implying I'm not completely and comically, hilariously wrong, but, well, it doesn't hurt my eyes because I can understand it within a context that may be more "fi" than "sci" if you know what I mean.
I just mean that I can kinda get a handle on what's happening in the gif, and that's before I pack a pipe and sit down for a good, long smoke.
This is a great place to start, if you want to go down the wiki-hole of...I don't even know if this is the correct term for this, but, "dimension theory" if you will:
Also, just to really irritate your brain, read up on the Heisenberg Uncertainty Principle. And yes, that's why Walter White chose the name.
I also suggest looking at D-Brane theory, wikipedia's a good place to start but you can find videos on it on Youtube. Also look up the double-slit (giggity) experiment (minus the giggity) and fall down the wiki-hole to multiverse theory.
Oh, and god...you really want to mess yourself up, read up on the single-electron theory.
Then there's the antimatter problem, Fermi's Paradox, Drake's Equation, Filter Theory...
Sorry...I'm an Evangelic Orthodox Geek...this sort of stuff I just go a little overboard about, but seriously...real mind-trip thought experiments, way beyond the trolley problem or Schrodinger's Cat.