# Accession Number:

## ADA136295

# Title:

## The Mathematical Structure of Elementary Particles.

# Descriptive Note:

## Technical summary rept.,

# Corporate Author:

## WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

# Personal Author(s):

# Report Date:

## 1983-10-01

# Pagination or Media Count:

## 126.0

# Abstract:

This report consists of the first part of a general theory purporting to describe the mathematical structure of the elementary particles, starting from no preassumed knowledge, but deriving it instead from first principles along the line suggested by Dirac in the 1930s. In particular, quantum mechanics is shown to arise as a consequence of relativity theory and of the theory of generalized curves. In the first part the geometric structure i.e. the nuclear field is derived, and one obtains a slightly modified form of the Yukawa potential along with a cylindrical perturbation describing the spin effects. This report gives full details of the results announced in two previous reports. Author

# Descriptors:

# Subject Categories:

- Theoretical Mathematics
- Nuclear Physics and Elementary Particle Physics