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Atlantis Studies in Mathematics for Engineering and Science

Models for Physics of the Very Small and Very Large

Authors: Buckholtz, Thomas J.

  • Provides a mathematical basis for modeling known and possible elementary particles 
  • Provides ways to close gaps between physics data and traditional theory - in particle physics and cosmology
  • Suggests extensions to the particle-physics Standard Model
  • Provides an analog, for elementary particles, to the periodic table for elements
  • Predicts measurable quantities
  • Suggests new items and details for the cosmology timeline
  • Points to opportunities for research in mathematics, applied mathematics, theoretical physics, and experimental and observational physics
  • Is suitable for advanced undergraduate courses, graduate courses, and special-topics seminars
  • Uses straightforward math
  • Shows how the work uses physics to narrow the choices of applicable math solutions
  • Summarizes key findings
  • Provides abstracts or introductory sentences - for chapters, sections, and subsections
  • Uses tables to highlight key points
  • Provides useful internal cross-references, including a list of abstracts for chapters and a list of abstracts and tables for sections
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Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-94-6239-166-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA in USD
  • ISBN 978-94-6239-165-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (9 chapters)

  • Overview

    Buckholtz, Thomas J.

    Pages 1-8

  • From Data to the MM1 Meta-model and MM1MS1 Models

    Buckholtz, Thomas J.

    Pages 9-165

  • From the MM1 meta-model to particles and properties

    Buckholtz, Thomas J.

    Pages 166-232

  • From Particles to Cosmology and Astrophysics

    Buckholtz, Thomas J.

    Pages 233-273

  • From MM1MS1 Models to Traditional Models

    Buckholtz, Thomas J.

    Pages 274-286

Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-94-6239-166-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA in USD
  • ISBN 978-94-6239-165-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Models for Physics of the Very Small and Very Large
Authors
Series Title
Atlantis Studies in Mathematics for Engineering and Science
Series Volume
14
Copyright
2016
Publisher
Atlantis Press
Copyright Holder
Atlantis Press and the author(s)
eBook ISBN
978-94-6239-166-6
DOI
10.2991/978-94-6239-166-6
Hardcover ISBN
978-94-6239-165-9
Series ISSN
1875-7642
Edition Number
1
Number of Pages
XII, 382
Topics