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It has been suggested that antiscreening effects due to the running of thegravitational constant G might provide a partial solution to the dark mattermystery. It has also been hypothesized that renormalization group scalingtransformations at large scales might supply the theoretical explanation. Inthis letter, we demonstrate that multifractal coarse-graining scaling effectsdue to classical fluctuations in the IR with consecutive symmetry breakings ingravitational evolution and induced running of the gravitational constant withfractal structures at larger scales may provide the plausible explanation ofthe observed results of weak lensing observations and beyond. The sporadic andlocalized antiscreening due to the running of the gravitational constant canalso provide the backbone for the cosmic evolution and large scale structureformation. Our interpretation of this interesting finding is that such effectsare the result of the complexity phenomenon involving the evolution oflarge-scale multifractal structures and accompanying fluctuations, not theconventional arguments suggesting quantum gravity being the primary cause. Wealso suggest that the running of the cosmological constant due to suchstochastic complexity evolution may provide a key to the understanding of theobserved cosmic acceleration.

Complexity Induced Sporadic Localized Multifractal Antiscreening in Gravitational Evolution at Large Scales