Article - post-print
The fractal dimension of large-scale galaxy clustering has been demonstrated to be roughly DF∼2 from a wide range of redshift surveys. If correct, this statistic is of interest for two main reasons: fractal scaling is an implicit representation of information content, and also the value itself is a geometric signature of area. It is proposed that the fractal distribution of galaxies may thus be interpreted as a signature of holography (``fractal holography''), providing more support for current theories of holographic cosmologies. Implications for entropy bounds are addressed. In particular, because of spatial scale invariance in the matter distribution, it is shown that violations of the spherical entropy bound can be removed. This holographic condition instead becomes a rigid constraint on the nature of the matter density and distribution in the Universe. Inclusion of a dark matter distribution is also discussed, based on theoretical considerations of possible universal CDM density profiles.
This is an author-manuscript of an article accepted for publication in Journal of Cosmology and Astroparticle Physics following peer review. The version of record is available online at: https://doi.org/10.1088/1475-7516/2007/05/021.
Mureika, J. R., "Fractal holography: a geometric re-interpretation of cosmological large scale structure," Journal of Cosmology and Astroparticle Physics 2007, (2007).