%A Sonoda,Tomohide
%D 2016
%J Frontiers in Applied Mathematics and Statistics
%C
%F
%G English
%K self-similarity,Symmetry,cosmic microwave background,Large Numbers Hypothesis,Large numbers coincidences
%Q
%R 10.3389/fams.2016.00005
%W
%L
%M
%P
%7
%8 2016-May-11
%9 Original Research
%+ Tomohide Sonoda,Graduate School of Natural Sciences, International Christian University,Tokyo, Japan,tomo@alm.icu.ac.jp
%#
%! Cosmic structure as a geometric sequence
%*
%<
%T Self-Similar Symmetry Model and Cosmic Microwave Background
%U https://www.frontiersin.org/articles/10.3389/fams.2016.00005
%V 2
%0 JOURNAL ARTICLE
%@ 2297-4687
%X In this paper, we present the self-similar symmetry (SSS) model that describes the hierarchical structure of the universe. The model is based on the concept of self-similarity, which explains the symmetry of the cosmic microwave background (CMB). The approximate length and time scales of the six hierarchies of the universeâ€”grand unification, electroweak unification, the atom, the pulsar, the solar system, and the galactic systemâ€”are derived from the SSS model. In addition, the model implies that the electron mass and gravitational constant could vary with the CMB radiation temperature.