We show how to close gaps between data and elementary-particle, astrophysical, and cosmological theories. We show math for which some solutions correlate with all known elementary particles and some known composite particles. Other solutions correlate with possible new ordinary-matter, dark-matter, and dark-energy elementary particles and composite particles. We show that existence of such new particles would close gaps regarding sizes of violations of CPT-related symmetries and regarding other aspects of particle physics; regarding quasar formation and regarding other aspects of astrophysics; and regarding the rate of expansion of the universe and regarding other aspects of cosmology. The math features pairs of isotropic quantum harmonic oscillators. Based on the math, we predict spins for the new elementary particles. We predict masses for some of the new elementary particles. The math exhibits various symmetries. Based on the symmetries, we interrelate particle properties, space-time coordinate (Poincare group) symmetries, numbers of fermion generations, and numbers of instances of particles. Also, we explore overlaps and gaps between our theory and traditional action-based theories.