  It has been suggested that antiscreening effects due to the running of the
gravitational constant G might provide a partial solution to the dark matter
mystery. It has also been hypothesized that renormalization group scaling
transformations at large scales might supply the theoretical explanation. In
this letter, we demonstrate that multifractal coarse-graining scaling effects
due to classical fluctuations in the IR with consecutive symmetry breakings in
gravitational evolution and induced running of the gravitational constant with
fractal structures at larger scales may provide the plausible explanation of
the observed results of weak lensing observations and beyond. The sporadic and
localized antiscreening due to the running of the gravitational constant can
also provide the backbone for the cosmic evolution and large scale structure
formation. Our interpretation of this interesting finding is that such effects
are the result of the complexity phenomenon involving the evolution of
large-scale multifractal structures and accompanying fluctuations, not the
conventional arguments suggesting quantum gravity being the primary cause. We
also suggest that the running of the cosmological constant due to such
stochastic complexity evolution may provide a key to the understanding of the
observed cosmic acceleration.
