edited by James D Edmonds (McNeese State University, USA)

Preface (184k)
Table of Contents (48k)
Chapter 1
Dimensions and Hypercomplex Number (641k)
Hamilton's Quaternions (400k)
Group Representations (168k)
Other Conjugations (154k)

It now appears that the old argument about Lorentz vs Galileo relativity is passing into history. The Lorentz symmetry may soon become obsolete itself just as the Galileo symmetry did about 1900. The tremendous successes of QED represent real progress in our quest to understand nature. The answer is not to go as most “outsiders” but to go forward — beyond to new ideas and equations that will match nature even better than QED does. This book shows us a new view of relativity and quantum equations. It has new equations that extend Lorentz Maxwell and Dirac.

• Dimensions and Hypercomplex Numbers
• Space and Motions Therein
• Closed Spacetime Physics
• Big Object Motions and Interactions
• Big Blobs Moving in Space
• Quantum Interactions
• Very Little Blobs: Extra Dimensions and Non-Associativity?
• The Three Kinds of Mass
• Expanding but Flat Space
• Curved Space in Quaternions
• Quaternion Electrodynamics
• Summary of Hypercomplex Wave Equations
• Appendix: Coupling Dirac and Maxwell
• A Simple Diagram for Long Distance Communication in a Closed Universe