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

TL;DR

This paper proposes that classical multifractal fluctuations and complexity phenomena at large scales can cause sporadic antiscreening effects in gravity, potentially explaining dark matter, cosmic structure, and acceleration without quantum gravity.

Contribution

It introduces a classical multifractal scaling framework for gravitational evolution, offering a new explanation for large-scale antiscreening effects and cosmic phenomena.

Findings

Multifractal structures induce sporadic antiscreening effects.

Classical fluctuations can explain weak lensing observations.

Complexity evolution may account for cosmic acceleration.

Abstract

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.