Spacetime curvature implies gravitation

I hate to burst your bubble, but in terms of differential geometry a cylinder is flat. You can roll the surface isometrically onto a plane.

 

Maybe you should regroup and learn enough mathematics to understand curvature a it. There is no simple explanation of Riemannian curvature.

I've abandoned the cylinder idea.

I'm simulating an oscillating point in one dimension along a line on which is a gravitational mass.

I still haven't dealt with flat geometry or curvature properly.

I tend to do things the hard way. :/ I try to figure things out for myself, come to the conclusion "that doesn't make sense", and then try to learn the proper way of doing it. It's not the best way to learn.

Yes, learning the math would be the smart way to start.