The Mathematical Structure of Elementary Particles. II.

Abstract

This report is the second part of a general theory purporting to describe the mathematical structure of the elementary particles, deriving it from first principles. It consists of Chapters 6 and 7, continuing the MRC Technical Summary Report 2581, October 1983. These chapters study the implications of the SL sub 2 (R) transformation group of the particles geometry. Chapter 6 shows how the discrete series of representations implies the quantization of the geometries and in particular why the electron does not interact strongly. Chapter 7 obtains the resonances as states corresponding to the principal series of representations. Keywords: monochromatic algebra; Light quanta; real unimodular group; unitary representations; Poincare plane; discrete series; principal series; quantization of geometries; resonances; Regge poles. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 01, 1985
Accession Number
ADA158191

Entities

People

  • P. Nowosad

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Analytic Functions
  • Computational Science
  • Differential Equations
  • Elementary Particles
  • Energy Levels
  • Experimental Data
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematics
  • Physics
  • Quantum Mechanics
  • Regge Poles
  • Standing Waves
  • Two Dimensional
  • United States
  • Wave Equations

Readers

  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Radar Systems Engineering.
  • Theoretical Analysis.

Technology Areas

  • Microelectronics