I recently watched a video where in VR someone was manipulating a 4D geometry in 3D space that was changing into all kinds of different shapes as it was moving through space. What i found strange is that typically for geometries to break apart and dissapear like this seems like it would violate 3D conservation laws, like dissapearing into nothing and then appearing in another corner, but of course the shape is probably conserved in 4D space since it is a 4D shape. Do we have an observable higher dimensional geometry on record for physics like this? Something that actually shows geometries appearing and dissapearing? It would seem it would violate the creation/annihilation of particles, at least on large scales.
We obviously have multivariate observables, where you can define many parameters that are hidden or correlated to only show movements in 3D but i'm specifically asking about an observable higher dimensional geometry which has been seen in 3D, and if not does it have anything to do with conservation laws?