# Accession Number:

## ADA158191

# Title:

## The Mathematical Structure of Elementary Particles. II.

# Descriptive Note:

## Technical summary rept.,

# Corporate Author:

## WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

# Personal Author(s):

# Report Date:

## 1985-05-01

# Pagination or Media Count:

## 102.0

# 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

# Descriptors:

# Subject Categories:

- Nuclear Physics and Elementary Particle Physics