AUTHOR=Sonoda Tomohide 

TITLE=Self-Similar Symmetry Model and Cosmic Microwave Background

JOURNAL=Frontiers in Applied Mathematics and Statistics

VOLUME=2

YEAR=2016

URL=https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2016.00005

DOI=10.3389/fams.2016.00005

ISSN=2297-4687

ABSTRACT=<p>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 universe—grand unification, electroweak unification, the atom, the pulsar, the solar system, and the galactic system—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.</p>