The subspace where our world is a sheet.?

Question

I mean how many dimensions contains the subspace where our world is a sheet (at least locally) of material. For example: 5, 6, 7 or just 4 or even 10? In what subspace (minimal) do a usual particle have its trajectory?

There is something under our world, and something above our world. I meant how many dimensions in that sheet, that is, our world.

Particles have no trajectory on a 3D surface. When averaging a trajectory of a particle, people sometimes say that "there is a particle if only it is a registered particle". That is, a particle is present on a 3D-surface if only its trajectory crosses the 3D-surface where our seen part of bodies are. If our eyes are accomodated for 3D, are they actually 3D? If so, then perhaps our world is flat in 4D-subspace. If our eyes and bodies are not 3D, then our world could be a 5-, 6-, or 7-sheet in a 9D-space.

Answer 1

Young's experiment has demonstrated that electrons can move in more than one spatial dimension at the same time!

If our universe had 2d space and 1d time, like on the surface of a sheet we would be able to move in geometrical patterns, even if the sheet was rolled up we would not know what up and down is!
In that sense I hear your question! We could apply the number pie to any circle but not a volume, we would not know what a volume is, it would be beyond our grasp in a flat universe!

Our universe has 3 spatial directions and 1 temporal, 4d total, how can we understand 4 spatial directions or 2 temporal directions? Perhaps in these universes objects can move in 2 directions at the same time? The mathematical constants and variables belong to another universe, with more dimensions than ours, no matter how hard we try to find the pot of gold at the end of the rainbow, I think its beyond our grasp! Your question was very interesting but I doubt you will find an answer here and now!
Only G-d knows!

Answer 2

Please clarify your question.
Also keep in mind that trajectory can be projected from higher dimensions onto the lower ones and visa versa. The information is being lost of course by projecting from higher to lower dimensions.