/sci/ - Science & Math

It provides a model for how the intrinsic distance between points in space (and time) is determined by pressure/energy densities in said space.

Intrinsic here means how the distances look within that space, e.g. if you walk on the surface or inside the volume - e.g. the poles of a unit sphere (pic related) are instrinsically pi unit steps (a half-circle) away from each other. Externally, he may say that the poles are only 2 unit steps away, but this "go though the ball" path is not part of what we look here.

The matter infleunced distances in out R^3 (or R^4, if you add time) can be played with in a way that e.g. you can drop the Newtonian 1/r^2 force completely, you can replace gravity buy a model that says things approach each other because their natual paths are such that their distances between them just shrink in stance over time.
The effect of 1/r^2 "force" is just an aspect of the metric/distance function.