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What I am thinking about would be a 2D simulation of a 3D grid, a matrix, made up of evenly spaced lines. Initially, it would simulate flat spacetime, composed of cubes with grid lines at all the intersections. Just a picture of transparent empty boxes.

But I envision an attractor which the user can place in the grid. The attractor would attract the lines, and bulge the boxes towards the attractor.

The bulges would simulate the effect of gravitational curvature on spacetime. What would result would be a picture of the transparent boxes subject to tidal forces, varying from extreme close to the attractor, and nearly insignificant if one were to zoom out far from the attractor.

Does my description of what I have in mind make sense?

If so, would it really be a visual aid to curving space time? Only curving space? Neither?

I would also envision user input to vary the "mass" and the "radius" of the attractor, enabling one to create white dwarfs, neutron stars and black holes.

What I really want to do is to set things in black hole territory, and see what happens to the "shape of space" in the vicinity.

Further refinements could include rotation of the attractor with consequent frame dragging, multiple attractors showing a frozen slice of time, or even multiple moving attractors warping space into weird shapes, with low-mass objects flying through.

Does anything like this already exist?