## Mathematical Physics

**The following book summarizes recent research.**

**Concepts Uniting Some Physics:**

**Toward One Theory for Elementary Particles, Objects, and the Cosmos**

- 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. Other solutions might correlate with other elementary particles.
- Second, we extend solutions to encompass known symmetries. We correlate extended solutions with kinematics. We show possible particles and explanations correlating with dark matter, dark energy, and other phenomena.
- Third, we note that the work unites, extends, and limits aspects of traditional physics. Those aspects include special relativity, general relativity, quantum mechanics, the elementary-particle Standard Model, and the cosmology timeline.

The following links pertain.

**The following book provides a basis for recent research.**

Atlantis Press and Springer offer the following book.

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

- A centerpiece of the work is a possible analog, for elementary particles, to the periodic table for elements.
- To the extent nature exhibits some of the possible elementary particles, the book predicts or explains various aspects of elementary-particle physics, dark matter, dark energy, and cosmology.

Overview material includes the following.

- Summary of aspects of
*Models for Physics of the Very Small and Very Large*(in the form of a draft talk – “Beyond the 2015 Standard Model: Specific possible elementary particles, plus phenomena they might explain” – for a meeting of the American Physical Society Far West Section; video, 9+ minutes, by Thomas J. Buckholtz). - Some Physics Highlights from …
*Models for Physics of the Very Small and Very Large*(PDF, 5 pages, by Thomas J. Buckholtz).

Links to copies of the book include the following.

- Springer (hardcover and eBook): link
- Springer (eBook and its chapters): link
- Amazon.com (hardcover and Kindle): link

Downloads (no-cost PDF files) include the following.

- Front Matter (about the series of books, title pages, dedication, Preface, and Table of Contents): link
- Preface (a portion of Front Matter): link
- Table of Contents (a portion of Front Matter): link
- Chapter 2 (all pages): link
- Back Matter (Bibliography [does not include References] and Index): link

Related information includes the following.

- A conference-proceedings paper (The book supersedes this paper. The paper shows some possible explanations [based on a set of possible elementary particles that is less robust than the set the book shows] of some elementary-particle phenomena and some cosmology phenomena.): link to paper, (link to proceedings)

Other links include the following.

- A tweet by Vint Cerf: link
- An abstract for a proposed talk for an American Physical Society (Far West Section) meeting in October 2016: link

Other overview material includes the following.

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