Mathematical Physics

The following manuscript discusses recent research.

Specifications for Elementary Particles, Dark Matter, Dark Energy, and Unifying Physics Theories (link)

Abstract

  • We suggest united models and specific predictions regarding elementary particles, dark matter, aspects of galaxy evolution, dark energy, and aspects of the cosmology timeline. Results include specific predictions for new elementary particles and specific descriptions of dark matter and dark energy. Some of our modeling matches known elementary particles and extrapolates to predict other elementary particles, including bases for dark matter. Some modeling explains observed ratios of effects of dark matter to effects of ordinary matter. Some models suggest aspects of galaxy formation and evolution. Some modeling correlates with eras of increases or decreases in the observed rate of expansion of the universe. Our modeling framework features mathematics for isotropic quantum harmonic oscillators and provides a framework for creating and unifying physics theories. Aspects of our approach emphasize existence of elementary particles and de-emphasize motion. Some of our models complement traditional quantum field theory and, for example, traditional calculations of anomalous magnetic dipole moments.

 


The following book provides details about some aspects of the research.

About Much Physics: United Models and Specific Predictions (link)

Extract (sample sections) from the book (link)

Abstract

  • We address four physics opportunities. First, suggest new elementary particles and forces. Second, explain phenomena such as dark matter. Third, augment and unite physics theories and models. Fourth, point to opportunities for further research.
  • 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 and with dark energy forces leading to three known eras – early acceleration, subsequent deceleration, and current acceleration – pertaining to the rate of expansion of the universe.
  • Second, we extend solutions to encompass known conservation-law symmetries. Extended solutions correlate with known kinematics. We suggest that extended solutions describe dark matter, explain ratios of density of dark matter to density of ordinary matter, correlate with dark energy density, and explain other phenomena.
  • Third, we propose that our work unites, suggests details regarding, extends, suggests complements to, and suggests limits regarding aspects of traditional physics theory. Those aspects include classical physics, special relativity, general relativity, quantum mechanics, the elementary particle Standard Model, the cosmology timeline, and galaxy evolution scenarios. The work provides possible insight regarding foundation of physics topics.
  • Fourth, we suggest opportunities for people. We suggest opportunities for observational, experimental, and theoretical physics research. We suggest quantum field theory that features few interaction vertices, sums of few terms as alternatives to conditionally convergent sums of infinite numbers of terms, and no needs to deal with some infinities. We point to possible opportunities to further develop and apply modeling and math we use.

Research opportunities (link)


The following is a related article.

  • Unified Physics including Dark Matter and Dark Energy (link)
    •  Guest blog for Dark Matter, Dark Energy, Dark Gravity (link) and Stephen Perrenod

The following book includes results leading toward About Much Physics

Models for Physics of the Very Small and Very Large

(A book published by Atlantis Press and Springer)

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