[drewhk]

I am not a physicist, in fact, I am a complete dilettante, but can the transition from a power law to an inverse law simply indicate that on large scale the universe has less dimensionality? I mean, if we take a suitable definition of dimension, likely along the lines of Hausdorff dimension (https://en.wikipedia.org/wiki/Hausdorff_dimension) then we can see it as a number that defines how volume/surface changes with changing diamater of an observed "sphere" (I know I oversimplify things here). In other words, as we start to measure cosmic distances on a large enough scale, volumes/surfaces covered don't grow quadratically anymore but with a lower rate. This might be even in line with the assumption of a universe curved into itself, i.e. closed. This would change the gravity power law from having a constant 2 power to having a function as the power.

[Tloewald]

The idea of fractal dimension being significant at galactic scale is intriguing and based on my totally naive reading of the article might resemble this insofar as the guy is arguing that gravity is an emergent property from quantum interactions that dramatically fall off when matter starts interfering with them at a certain point.

[qubex]

(Constant negative two power to having a function as the power.)

[drewhk]

It depends on whether you imagine a fraction line there or not: https://wikimedia.org/api/rest_v1/media/math/render/svg/8c6e... ;)