Integral maxima of scale invariant structure

Mathematics – Logic

Scientific paper

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Scale Invariance, Anisotropy, Cosmic Background Radiation, Microwave Radiation, Isotropy, Spatial Distribution, Homogeneity, Cosmological Evolution, Fractals, Large-Scale Structure, Cosmological Models, Early Universe, Early Radiation Effects, Cosmic Background Radiation

Scientific paper

An isotemporal model of cosmological structure in a strictly geometric sense, whether shaped primarily by a fragmenting or aggregating process, must coherently accomodate the apparent incongruence of the extreme isotropy of the cosmic microwave background radiation (CMBR) with the large scale anisotropy of scale invariant structure. The extreme isotropy of the CMBR also would indicate that, beyond some maximum scale, the distribution of matter transitions to homogeneity; however, this scale has not yet been established. In defining the possible relative proportions of such a scale, considerations for an ideal model exhibiting these properties are discussed.

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