## Models for Physics of the Very Small and Very LargeThis 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. |

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### Contents

1 | |

9 | |

3
From the MM1 metamodel to particles and properties | 166 |

4
From particles to cosmology and astrophysics | 233 |

5
From MM1MS1 models to traditional models | 274 |

6
From MM1MS1 models to traditional theories | 287 |

7
From the MM1 metamodel to perspective | 314 |

8
Appendices | 341 |

9
Compendia | 344 |

373 | |

375 | |

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### Common terms and phrases

and/or antimatter aspects assume charged leptons color charge composite particles concepts conservation laws CP-symmetry dark matter dark-energy stuff denotes density electromagnetism electron elementary bosons elementary fermions elementary particles energy ENS1 ENS48 models ENS6 ensembles ENVIRO example extent fine-structure constant FRERAN SPATIM G-family bosons G-family elementary particles G-family particles G-family solutions galaxy gluons gravitons gravity ground-state INTERN LADDER inferred INSSYM7 integer interaction vertices INTERN LADDER solutions isotropic quantum harmonic leptons magnetic dipole moments math MM1 meta-model MM1MS1 models MM1MS1-neutrino MM1MS1-photon models correlate models pertain monograph discusses neutrinos non-zero non-zero-mass elementary notation notion OMDMS ordinary matter oscillator pair particles correlating phenomena photons physics models physics-relevant properties QE-like QP-like quantum harmonic oscillators quarks ratio regarding relevant rest mass Section shows solutions correlate space-time coordinates SPATIM symmetries Standard Model subfamily subsection discusses subsection provides perspective symbol term traditional physics vertex virtual particles W boson