New Applications of Generalised Curves. Particularly in Physics.
Abstract
The traditional assumptions of infinitesimal smoothness, implicitly made in various applied topics, do not agree with what is observed at microscopic and smaller dimensions. Mathematical models closer to what actually occurs, are made possible by the theory of generalised curves, and by the matching up and resonance of the infinitesimal patterns they generate. Phenomena hitherto not fully accounted for, may be partly due to such generalised patterns in stress lines of bridges, streamlines of shock waves, and rays of light. In relativistic quantum physics, generalised curves appear on account of the indefiniteness of the metric, and the infinitesimal zigzagging corresponds to successive emission and absorption of radiation. The Nowosad theory, a preview of which is given here, accounts in this way for the elementary particles in a logical manner, and provides at the same time de Broglie's Pilot Wave and the quantum potentials of Bohm and Vigier. Moreover such things as the Pauli exclusion become theorems. The theory makes uses of singular integrals and of reduced quaternion-valued analytic functions. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1980
- Accession Number
- ADA089610
Entities
People
- L. C. Young
Organizations
- University of Wisconsin–Madison