I'm not sure this belongs in this forum, but here goes...

In inversive geometry, as a point within a unit circle approaches the center of the circle, its inversion outside of the circle approaches infinity at the rate of x=r^2/y, which is an accelerating rate.

(r is the unit circle radius, y is the point within the circle, and x the point outside of the circle.)

(The question of whether it is an accelerating accelerating rate, i.e. a second or higher derivative, is another question I have, but I leave that question aside for now so as to not convolute this thread).

My question for now:

To what extent can the observed accelerating expansion of the universe be interpreted as an inverse deceleration towards a "big crunch?"