In July, I had a glimpse of insight into the differences between how gravity might behave differently between a solid sphere, hollow sphere, null sphere (a convex spherical boundary), and how this might give clues to how gravitational information is stored on a quantum level. I lost the vision of this but have completed the brief notes that I made.
I've written before that I think the event horizon of a black hole represents the edge of the universe because if light cannot escape from something then information cannot escape, and if anything cannot escape then it represents a net loss for the universe as a whole. Converting something to nothing is as invalid as the opposite, because nothing is the exact inverse of infinity. If nothing can spontaneously convert into something then there would be no rules about what or how.
We may think of borders as linear or concave but a convex border, to this 'hole' is still valid. I hypothesize that, when black holes are formed, their contents are pushed just beyond the border, the event horizon, and so these could be thought of as hollow spheres rather solid spheres. This horizon becomes the edge of the universe. There is nothing beyond, and the topology would not permit movement towards the nothing, but a deflection along the edge.
What is the topology of an concave border to the universe? As the space inside the event horizon is an edge to the universe, then existence on this border might appear like a point to local actors rather than the large sphere we imagine from a distance. The 'nothing' is space infinitely bent, so gravitons must be able to store this information, of course not infinitely, but the near-infinity of space's contortion on the horizon. Gravitational information cannot exist inside these spheres, so the objects on the border must do this. These must communicate with neighbours in an almost 2D fashion, with their metaphorical backs to the void.
How is the apparent size of the black hole stored in such a topology? Presumably two black holes of different dimensions have different quantities of matter at their shell.
Does a hollow sphere of mass x behave, in gravitational terms, as a solid sphere of the same mass? In what ways are the two different?
Where is the centre of gravity of a shell-object which contains null space inside, and how are these co-ordinates defined given a perspective that exists only on the surface of the shell?
