Astronomy and Astrophysics – Astrophysics
Scientific paper
2008-02-20
Astronomy and Astrophysics
Astrophysics
23 pages
Scientific paper
The claim that the large scale structure of the Universe is heirarchical has a very long history. In recent years, the debate has centered largely on the works of Sylos Labini, Joyce, Pietronero and others, who have made the quantative claim that the large scale structure of the Universe is fractal with dimension D~2. There is now a concensus that this is the case on medium scales, with the main debate revolving around what happens on the scales of the largest available modern surveys. The major difficulty faced by the proponents of the heirarchical hypothesis is that there is no obvious mechanism which would lead to large scale structure being non-trivially fractal. This paper, which is a realization of a worldview that has its origins in the ideas of Aristotle, Leibniz, Berkeley and Mach, provides a surprising resolution to this problem.
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