Feasibility Studies of an Investigation into the Multi-Fractal Nature of the Universe

9809531科尔曼将进行几项可行性研究，以研究宇宙的多重分形性。这是一个重要的话题，因为我们宇宙的标准模型与任何分维或多重分维的性质是矛盾的。这些模型是基于这样的假设，即在某种大尺度上，宇宙基本上可以被视为一个液体系统。所有的密度增强，如星系、星系团和超星系团，都被冲走了，宇宙中的物质变得均匀，将存在一个可测量的平均密度。宇宙的多重分形图则大不相同。平均密度永远不会被定义，宇宙也不能被视为液体系统。这两种观点是如此截然不同，希望有一些确凿的证据来排除其中一种。即将进行的研究旨在找到这一证据。这项研究将沿着三条不同的路线进行：分析现有和预期的数据；对虚假宇宙进行蒙特卡洛模拟，以创建真实宇宙的模型；在新的分形学框架中进行N体分析。对星系星表的分析需要相当完整的星表材料和强大的软件，可以用来测试这些星表。将编制目标目录，包括它们的不足之处，并对修改已编写的计算机程序所需的时间和精力进行一些估计。此外，将对阿雷西博望远镜(波多黎各附近的一个设施)获取的数据进行试点研究，最终目标是对数据进行更大范围的分析。创建非常简单的多重分形宇宙，模拟真实的宇宙，将有助于证明分形框架的可行性。将再次研究改编软件和各种多重分形图生成方案。解决这个问题的最后一种方法是最有可能讲述产生这些分形结构的过程中所涉及的物理过程的方法。仔细调查一下可用的N-Body软件，应该会指出一些适用于这种有点不同类型的分析的候选软件包。这项研究的预期结果，将是一个可行的、具体的、定义明确的攻击计划，以回答“宇宙是多重分形的吗？”*

AST-9809531 Coleman Several feasibility studies will be conducted to investigate the Multi-fractal nature of the universe. This is an important topic since the standard models of our universe are contradictory to any fractal or multi-fractal properties. The models are based on the assumption that the universe, on some large scale, can essentially be treated as a liquid system. All the density enhancements such as galaxies, clusters, and superclusters, wash out and the matter in the universe becomes homogeneous and a measurable average density will exist. The multi-fractal picture of the universe is much different. No average density will ever be defined and the universe cannot be treated as a liquid system. These two points of view are so radically different that hopefully there is some definitive evidence which rules one of them out. The research to be carried out is aimed at finding that evidence. The research will proceed along three separate lines: Analysis of existing and anticipated data; Monte-Carlo simulations of false universes to create models of the true universe; N-body analysis in the new framework of fractals. The analysis of galaxy catalogs requires fairly complete catalog material and robust software which can used to test those catalogs. Target catalogs, including their deficiencies, are to be compiled and some estimation of the time and effort required to modify already written computer programs is to be obtained. Furthermore, a pilot study of data taken with the Arecibo telescope (a nearby facility in Puerto Rico) is to be undertaken with the eventual goal being a much larger analysis of the data. Creation of very simple multi-fractal universes which mimic the true universe will help to demonstrate the feasibility of the fractal framework. Studies will again be made on adapting software and on various multi-fractal generating schemes. The final approach to this problem is the one which has the best possibility of telling something about the physics involved in the processes which generate these fractal structures. A careful survey of the available N-body software should point out some candidate packages for this somewhat different type of analysis. The anticipated result of this research, is to be a workable, concrete, well defined plan of attack to answer the question, "Is the universe multi-fractal?" ***