Skateboarding The Cylindrical Halls of a Singularity

Okay, so imagine you can see the dents in space from gravity, like actually see them. You look at Earth and it's in a space dent, a star is in a bigger space dent, and etc (relativity). We can calculate this already, but the image is helpful here.

So let's say you wanted to orbit a star, well it'd be a lot like skateboarding around a curved surface. The bigger the star, the faster you need to skateboard to stay up on that level without falling toward the center, the star.

So what's strange here are singularities. If I understand this correctly, a singularity is meant to have infinite density. That would be like skateboarding inside a cylinder. But what is the radius of said cylinder?  It could not have a radius of zero, at that point it would be a line.  Presumably space would asymptotically reach vertical walls (vertical walls=infinite density), but if it never reaches vertical walls then it never reaches infinite density.  But if it does reach infinite density, then you would have a cylinder, with a radius, which means the singularity would have an area (the bottom end of the cylinder, pi(r)^2), which means it could not be of infinite density again from any perspective inside the cylinder, but it also must be infinitely dense in that area to produce the cylinder effect.

Essentially there must be a perspective shift somewhere along the way for the math of infinite density from outside the event horizon to be valid. Somewhere beyond the event horizon, this cylinder must form, at which point it could be said that the singularity no longer occupies one point, but instead occupies an area, and the entire area of the circle is infinitely dense. 

Now once "orbiting" in this cylinder, light could only go from top down. What's also strange is that if you shine light parallel to the bottom (on your horizontal circle in the cylinder) it would just hit you in the back of the head. In fact, from outside perspectives you, as the skateboarder, would likely be traveling fast enough as to be in a superposition, your position being the entirety of the circumference of the cylinder on your vertical position. You would see all light coming in simultaneously also (passing your circle, top down) so there would be a light side and a dark side from your perspective, also the light coming from the top could not tell where you are (maintained superposition). No visual information would be transmitted back up, nor could you gain any information from what was below you, so it could be said that you are immesurable from a quantum perspective, presumably.

Anyway, it is also interesting here that you would not actually be orbiting anything. Unlike the star sitting at the center of your orbit in the earlier example, the singularity would be below you in the cylinder, you'd just be doing doughnuts above it. In fact, it would be exerting gravity perpendicular to your own position, with no curve leading to it. What's even stranger is that if you did somehow stop, you would only ever get pulled into the edge of the area of the bottom of the cylinder, never the center of the circle, because of the space you occupy in relation to the space the circle occupies. When you did reach the edge of the circle, the gravity would be exerted from an area that was only partially intersecting your own space, since the center of the cylinder is not space in our own universe (our universe would be the inner edge of the cylinder which would presumably have no thickness from this perspective, which seems like a 4d space represented in 3d). So what is in the center? Like the middle of the circle, for example? This question would not be valid while skateboarding, as the center is hollow from your perspective, but it would be valid at the bottom of the cylinder. At the bottom, the entirety of the circle would be the singularity, in a dimension of unknown radius that had no meaningful reality from your perspective before you got there. 

So where in the physics between general relativity, and what I can only presume are quantum effects, does a single point of infinite density from our perspective stop being a single point and start being a circle of radius r so that it can produce the cylindrical space required to have the infinite density we observe from here? How large does r get from a perspective actually inside the cylinder? Is there any way to conceive of this dimension that is the circle at the bottom of the cylinder, which somehow exerts gravity upward uniformly into a hollow space between the points our own universe occupies?

Side note: this somehow seems related to the Euler equation e^i(pi)+1=0. Like doesn't i(pi) seem like it's describing the radius or area of some kind of circle with a complex/imaginary radius (square root of i)? I can't wrap my mind around it exactly, but it seems highly suspicious, like it's describing a physical shape, albeit one with imaginary dimensions. e seems to be a specific asymptotic/infinite angles scenario, like stealthily edging your way into said shape. The whole equation seems like a way to make something out of nothing, mathematically, which I like. ¤ 

Next day note:

As I was writing this I had the distinct impression I was writing of the cosmology of the universe we exist in, but along lines we're currently unaware of.

Like we're unaware of the bottom circle's gravity at all because we are moving at the speed of light along our own known dimensions and with our own apparent gravity which would be centrifugal force. Stuff flies in from "the top" and we send stuff all the time to "the bottom" but we are none the wiser because either we filter it out as inconsequential, or maybe we don't have the senses to perceive it. Maybe this effect from our perspective is just background radiation or particle pairing. Particle pairing would then be like a record skipping when it gets "observed" by our universe, which is a single thing spinning the circle (around nothing, from our perspective), that appears stretched because of superposition. That would mean all our gravity could actually be defined as apparent gravity, a function of our movement; all "real" gravity is perpendicular and unseen because we have no momentum on its axis, and the area of the universe would be the circumference of the circle, the circle having a radius r, r being the function of the size of this extra dimension that, from an outside perspective, could be considered an infinitely dense amount of matter with no dimensions from our point of view.