Relativity and Cosmology

   

Observed Galaxy Distribution Transition with Increasing Redshift a Property of the Fractal

Authors: Blair D. Macdonald

Is the universe a fractal? This is one of the great – though not often talked about – questions in cosmology. In my earlier publication where I inverted (Koch snowflake) fractal I showed the fractal demonstrated: Hubble’s Law, accelerating expansion, and a singularity beginning. Surveys of the universe – the most recent and largest, the 2012 WiggleZ Dark Energy Survey – show, galaxy distribution on small scales to be fractal, while on large-scales, homogeneity holds. There appears to be new anomaly to explain: a galaxy distribution transition from rough to smooth with cosmic distance. From my model I derived a Fractal-Hubble diagram. On this diagram, measurement points along the curve are clustered near the origin. This clustering was not addressed in discussions or part of the conclusion of my earlier experiment. Can this clustering of points account for the observed galaxy distribution transition? Could this transition be another property of fractals, and therefore could the universe – itself – be fractal? It was found, yes they do. Clustering of measurement points (and of galaxies) is as a result of observation position in the fractal. On small scales – relative to large scales – the cosmic surveys are what one would expect to see if one were viewing from within an iterating – growing – fractal. If trees – natural fractals that have also been found to grow at accelerating rates – are used to demonstrate this fractal: the large-scale smoothness maybe akin to a tree’s trunk; and the rough (fractal) on small-scales, to its branches. This discovery unifies the anomalies associated with the standard cosmological model. Together they are – through the mechanics of the fractal – inextricably linked.

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[v1] 2015-03-28 14:50:37

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