大尺度引力演化中复杂性诱导的偶发局域多重分形反屏蔽
Complexity Induced Sporadic Localized Multifractal Antiscreening in Gravitational Evolution at Large Scales
摘要：
有人认为，由于引力常量G的变化而产生的反屏蔽效应可能为暗物质之谜提供了部分答案。也有人假设大尺度下的重整化群标度变换可能提供理论解释。在这封信中，我们表明，多重分形粗粒标度效应，由于经典波动的IR与连续的对称性破缺的引力演化和诱导运行的引力常量在较大尺度上的分形结构，可能提供合理的解释弱透镜观测和超越的观测结果。由于引力常量的运行而产生的零星的和局部的反屏蔽也可以为宇宙演化和大尺度结构的形成提供骨干。我们对这一有趣发现的解释是，这种效应是复杂现象的结果，涉及大尺度多重分形结构的演化和伴随的波动，而不是传统的论点表明量子引力是主要原因。我们还认为，由于这种随机复杂性演化的宇宙学常数的运行可能提供了一个关键的理解所观察到的宇宙加速。
英文摘要：
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.
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