## Mathematical Physics

**The following article summarizes recent research.**

** Elementary forces and particles correlating with ordinary matter, dark matter, and dark energy **(link)

Abstract

This paper discusses and applies a basis for modeling elementary forces and particles. We show that models based on isotropic quantum harmonic oscillators describe aspects of the four traditional fundamental physics forces and point to some known and possible elementary particles. We summarize results from models based on solutions to equations featuring isotropic pairs of isotropic quantum harmonic oscillators. Results include predictions for new elementary particles and possible descriptions of dark matter and dark energy.

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**The following book provides details.**

** Unitedly Broadened Physics: Toward One Theory for Elementary Particles, Objects, and the Cosmos** (link)

Abstract

- We address three physics opportunities. First, predict new elementary particles. Second, explain phenomena such as dark matter and dark energy. Third, unite physics theories and models.
- We use models based on solutions to equations featuring isotropic pairs of isotropic quantum harmonic oscillators.
- First, we show solutions that match the known elementary particles. We propose that other solutions correlate with elementary particles that people have yet to detect.
- Second, we extend solutions to encompass known conservation-law symmetries. We note that extended solutions correlate with known kinematics. We propose that extended solutions correlate with descriptions of dark matter, dark energy, and other phenomena.
- Third, we note that the work unites, extends, and limits aspects of traditional physics. Those aspects include classical physics, special relativity, general relativity, quantum mechanics, the elementary-particle Standard Model, and the cosmology timeline.

Extract (sample sections, 30+ pages) from the book

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**The following ****book includes results leading toward Unitedly Broadened Physics**

**.**

*Models for Physics of the Very Small and Very Large*

(A book published by Atlantis Press and Springer)

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