In this book, the authors present current research in the study of low-energy physics. Topics discussed in this compilation include nano-structured reflectors for slow neutrons; the low-energy Yang-Mills Gravitational Gauge Theory and its application to astrophysics and cosmology; quantum hall fluids in the presence of topological defects; analytic formulas for small systems of electrons at odd denominator filling factors of the lowest Landau level; application of sapphire in low-energy neutron physics; and a low-energy phenomenological theory of Yang-Mills formulation of gravitation.