2016-Sustainable Industrial Processing Summit
SIPS 2016 Volume 4: Santilli Intl. Symp. / Mathematics Applications
| Editors: | Kongoli F, Gaines G, Georgiev S, Bhalekar A |
| Publisher: | Flogen Star OUTREACH |
| Publication Year: | 2016 |
| Pages: | 320 pages |
| ISBN: | 978-1-987820-42-3 |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
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Geometric Spinors, Relativity and the Hopf Fibration
Garret Sobczyk1;1UNIVERSIDAD DE LAS AMERICAS - PUEBLA, Cholula, Mexico;
Type of Paper: Regular
Id Paper: 453
Topic: 38
Abstract:
This article explores geometric number systems that are obtained by extending the real number system to include new anticommuting square roots of +1 or -1, each such new square root representing the direction of a unit vector along orthogonal coordinate axes of a Euclidean or pseudo-Euclidean space. These new number systems can be thought of as being nothing more than a geometric basis for tables of numbers, called matrices. At the same time, the consistency of matrix algebras proves the consistency of our geometric number systems. The flexibility of this new concept of geometric numbers opens the door to new understanding of the nature of spacetime, the concept of Pauli and Dirac spinors, and the famous Hopf fibration.