Knots, Braids and Möbius Strips

Elementary particles in this book exist as Solitons in-and-of the fabric of spacetime itself. As such they are characterized by their geometry, that is their topology and configuration which lead directly to their physical attributes and behavior as well as to a simplification and reduction of assum [...]
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Elementary particles in this book exist as Solitons in-and-of the fabric of spacetime itself. As such they are characterized by their geometry, that is their topology and configuration which lead directly to their physical attributes and behavior as well as to a simplification and reduction of assumptions and the importation of parameter values. The emphasis of the book is thus on that geometry, the algebraic geometry associated with taxonomical issues and the differential geometry that determines the physics as well as on simplifying the results. In itself, however, the process of assembling and developing what eventually went into the book has been a singularly rewarding journey. Along the way some fascinated insights and connections to known physical attributes and theories emerge, some predictable but others unbidden and even unanticipated, a most gratifying circumstance. The book is intended to summarize that journey in a way that, hopefully, readers with a range of backgrounds will find interesting and provocative. Connections to other physical theories and subjects and to matters of cosmological interest are also discussed.