Are wormholes even possible? While this question could fall under Space Exploration or Physics (I don't have the "best" reputation on THAT forum), I feel that it is very much related to how the universe itself functions, especially regarding Einstein. While looking to see if anyone has confirmed our universe having a 4th spatial dimension (or some non temporal or spatial dimension) due to the fact that space curves, for me curvature requires a higher dimension (paper bending or a stick bending, always +1 to its dimension), I was met with the explanation that this "curvature" was intrinsic and not extrinsic (requiring another dimension). That was fine and all until I realized that wormholes would be exclusively extrinsic, how could you make a wormhole if bending space is intrinsic? Obviously you can't. But Einstein  put a lot of time into something that apparently wouldn't work, so personally I am siding with Einstein here. But that still leaves the question; Are wormholes possible thus making our universe a 3+1+1 dimensional universe (I wouldn't group it up with the 3 because that would say that matter could move like that, it can't) or are wormholes impossible and so our universe remains 3+1 dimensional?
The idea of wormholes is completely abstract.  We have no evidence they actually exist and they are a result of following the strict mathematics of general relativity to and beyond it's intended limits.

When you push a theory past it's "design limits" you can't expect the results to be valid.  Sometimes they are, sometimes they aren't.


  for me curvature requires a higher dimension (paper bending or a stick bending, always +1 to its dimension)


The problem here is that you're thinking in a common, everyday sense about something that fundamentally is not understandable using common everyday sense.  One of the major problems people face learning even special relativity is that common sense ideas (like simultaneity) go out the window, and this is even more difficult in general relativity.

To understand how space-time is distorted in such extreme ways requires an understanding of the mathematics.  The simple explanations that involve things like rubber-sheet analogies just don't give you the right idea at all.

A typical tool to explore space-time and how it distorts is a Carter-Penrose diagram.  Another one is the Kruskal-Szekeres coordinates.

So really the problem here is you trying to use your common everyday sense in a situation that it does not work in.  The reason physicists do all that complex mathematics in the first place is because that is what works.