Wasted my time watching this. 23 minute video that repeats itself so often there's only ~30 seconds of information. It feels very AI-generated. And it is not possible to "visualize 4D", the video does not prove otherwise.
3 spatial dimensions + 1 color dimension (grayscale)
2 spatial dimensions + 2 color dimensions
etc
And that's not even counting projection. All the time we interact with 3D data that's projected to 2D (almost every photo you've ever looked at). There are similar ways to project 4D to 2D.
(Not defending the video or anything, just pointing out that visualizing higher dimensions is something we know about for ages.)
I took a shortcut when typing that, quoting the OP instead of further explaining. It is definitely possible to visualize 4 datapoints, but not 4 spatial dimensions. The only way to do so is to project to lower dimensions or take a lower dimension slice and display that. That works for 2D slices/projections of 3D objects because we already have a full understanding of 3D. It does not work for 2D projections of 4D objects, similar to how "flatlanders" couldn't make sense of a 2D or 1D projection of a 3D object.
Who is trying to fool people? It's well known that 4D can be visualized with 3d projections, fibrations, etc. It's a topic in Flatland (1, 2). Ancient news.
With this mindset, if we encounter something novel that doesnt exist or isn't possible in 3d, instead of fighting with our brains we can simply say that a 4d universe allows such a possibility and in order to gain a 4d understanding which we have chosen to undertake we have to accept it.
wow so if I just say "it must be in 4d then" everytime i see something impossible in 3d I will slowly start thinking in 4d. thats amazing. /s