Another possibility is if our brane has a lot of folds coming close/touching - that would make gravity there stronger like say that dark matter idea inducing rotation speed curve of the disk stars.
I think you're mixing up two different cases here: 1) Our established 3 dimensions are actually compact, i.e. loop around or hit a boundary somewhere. No multiverse here. 2) There are extra dimensions, meaning that for every point in that extra dimension there's another 3-dimensional universe as we know it.
Do they not loop? What other option is there? I assume you can't sail off the edge of the disk, so to speak.
Option 2: They go on forever without looping.
Option 3: They end - there is some kind of boundary to spacetime.
IIRC experimental gravity data rules out any compactified dimension bigger than 50μm, but a question I keep coming back to is "surely the pictures of atomic bonds taken by electron microscopes rules compactified dimensions larger than 1Å?"
Sometimes compactified dimensions are analogised to a straw: seen from a distance it seems one dimensional, up close (an ant's perspective) it's got one long dimension and one short dimension.
I don't know how far to take the analogy. It sounds like surely photons with wavelengths smaller than the compactified dimension would be likely to take a spiral path, looping around compact dimension n times for every m units of 3-space travelled, which would seem like they were mysteriously slow if you weren't expecting the compact dimension to exist.
I vaguely remember the idea of wavelength-dependent speed of light is a thing that's been ruled out by tests with supernova data, but not to what wavelength or sigma.
Because they can’t see above or below to the rest of the tube. They can only see a single infinitely thin slice of the tube.
An ℝ²-brane such as flatland existing in a ℝ³ bulk is different to an ℝ²⨯S¹.
If the S¹ part* is present in our universe to the degree that it can explain anything about gravity, it should also have an impact on everything else in the universe larger than the radius of the S¹ dimension's circumference.
* well, S^n ⨯ T^m, the version of string theory I hear most about has n+m = 6, but there are others, and this thread is a toy model where n=1, m=0
Edit: Apparently the U+1D54A character is stripped, so put a plain ASCII "S" back in.
The "tube" (compactified dimension) isn't a higher dimensional object going through our space, in string theory it is an actual part of our space.
To put it another way: for compactified dimensions, we're not in flatland.
(For brane theory, we are in flatland, but they're two different ideas about how stuff might work).
Like literally in the middle of your sitting room. Isn’t it a known meme horror thing - monster slices from another dimension splicing across into ours as they move through their planes .
Basically it doesn’t happen but the dimensions do exist so they must be small.
Hence why we don’t bump into them.