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Anonymous (2022) Digital Library of Mathematical Functions. National Institute of Standards and Technology.
https://dlmf.nist.gov/

has been cited by the following article:

• TITLE: Characterizations That Help Explain Particle and Cosmic Data

  AUTHORS: Thomas Joel Buckholtz

  KEYWORDS: Elementary Particles, Dark Matter, Rate of Expansion of the Universe, Galaxy Formation, Neutrino Masses, Vacuum Energy, Dark Energy, Quantum Gravity

  JOURNAL NAME: Journal of High Energy Physics, Gravitation and Cosmology, Vol.10 No.3, July 31, 2024

  ABSTRACT: This paper suggests explanations for otherwise seemingly unexplained data about elementary particles and cosmology. The explanations have bases in coordinate-based modeling and in integer-based characterizations for some catalogs. One catalog features properties—including charge, mass, and angular momentum—of objects. Another catalog features all known and some possible elementary particles. Assumptions include that multipole-expansion mathematics has uses regarding long-range interactions, such as gravity, and that nature includes six isomers of all elementary particles other than long-range-interaction bosons. One isomer associates with ordinary matter. Five isomers are associated with dark matter. Multipole notions help explain large-scale aspects such as the rate of expansion of the universe.