How is it that we are held by the curvature of spacetime around the mass of the Earth ?

In how many dimensions does gravity curve spacetime?

I understand that there is more than one equivalent of the torus in 4D.

I am wondering is whether there is also more than one equivalent of the spiral vortex that appears in such 3D forms as whirlpools and tornadoes?

Of course a vortex is a temporal spin dynamic rather than a static geometry.

The way I see it though,circular movement is just a spiral form in a higher dimension being scanned temporally.

I suspect another way to ask the question is what is the equivalent 4D form to the 3D electromagnetic toroidal field ?

Or what would the geometry of a 4D electromagnetic field be if a 3D field is a cycling torus contracting and expanding vortex ?

I presume a 4D vortex would spin around a plane rather than around an axis line.

Im thinking that as 3D vortex pulls nearby items into it primarily from a circular perimeter on the plane surrounding the top of the vortex

a 4D vortex would pull in items from a spherical perimeter in the surrounding 3D space near the entry to the vortex.

So - does the 4D Vortex geometry have anything to do with 3D gravitation and black holes ?

If so ... how would you describe it ?

If not - how would you describe the geometric dynamics in a more accurate way ?

Here are what I consider to be two inadequate attempts by someone to illustrate what is happening in the General Relativity description of Gravity

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