This monograph tackles three challenges. First, show a mathematics-based meta-model that matches known elementary particles. Second, apply models, based on the meta-model, to match other known physics data. Third, predict future physics data. The math features solutions to isotropic pairs of isotropic quantum harmonic oscillators. This monograph matches some solutions to known elementary particles. Matched properties include spin, types of interactions in which the particles partake, and (for elementary bosons) approximate masses. Other solutions point to possible elementary particles. This monograph applies the models and the extended particle list. Results narrow gaps between physics data and theory. Results pertain to elementary particles, astrophysics, and cosmology. For example, this monograph predicts properties for beyond-the-Standard-Model elementary particles, proposes descriptions of dark matter and dark energy, provides new relationships between known physics constants (including masses of some elementary particles), includes theory that dovetails with the ratio of dark matter to ordinary matter, includes math that dovetails with the number of elementary-fermion generations, suggests forces that govern the rate of expansion of the universe, and suggests additions to and details for the cosmology timeline.

Math models may resolve about 10 particle-physics and astrophysics problems. The models use harmonic-oscillator math. The models correlate with Standard Model basic particles. The models seem to correlate with the following.

A family of zero-mass bosons includes photons, gravitons, and spin-3 and spin-4 particles. Effects of the family govern the rate of expansion of the universe. Dark matter and dark energy consist of up to two kinds of stuff. One kind features peers of baryonic matter. The other kind includes fermions with spins 3/2 and 7/2. C, P, and T violations exceed amounts correlating with models limited to spins that do not exceed 1. Reactions led to matter/antimatter imbalance. Gravitons and some spin-1 bosons correlate with neutrino oscillations. Some ratios correlating with particle masses feature integers. Basic fermions have 3 generations. Possibly-infinite zero-point vacuum energy need not be a concern.

Thomas J. Buckholtz invites you to read, enjoy, learn, and extend work Physics Beyond Spin One discusses.

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