Knots, braids and Möbius strips : particle physics and the geometry of elementarity : an alternative view / Jack Avrin.

Format:

Book

Author/Creator:

Avrin, Jack, author.

Series:

K & E series on knots and everything ; Volume 55.

Series on Knots and Everything ; Volume 55

Language:

English

Subjects (All):

Particles (Nuclear physics)--Mathematics.

Particles (Nuclear physics).

Geometry, Algebraic.

Knot theory.

Topology.

Physical Description:

1 online resource (357 p.)

Place of Publication:

Hackensack, New Jersey : World Scientific, 2015.

Language Note:

English

Summary:

"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 fascinating insights and connections to known physical attributes and theories emerge, some predictable but others unbidden and even unanticipated. The book is intended to summarize that journey in a way that, readers with a range of backgrounds will find interesting and provocative. Connections to other physical theories and subjects are also discussed. A most gratifying development is the emergence of a unifying principle underlying the epistemological structure of not only the elementary particles but of such diverse fields as Radar, Quantum mechanics, Biology, Cosmology and the Philosophy of science."-- Provided by publisher.

Contents:

Contents; Acknowledgments; Preface; I. Introduction: Some History and Philosophy; 1. History and Philosophy; II. Basic Concepts: Algebraic Geometry; 2. Genesis of a Particle Model; Interjection; 3. First-Order Fusion; 4. Dirac and Traverse; 5. Second-Order Fusion; 6. Combinatorial Perspective (Analysis); 7. More Perspective; 8. Composition and Contingency; III. Algebraic Ruminations; 9. The Bialgebra and Hopf Algebra Connection; 10. A Foray into Quantum Mechanics; 11. Spin, Spinors, and the Pauli Connection; 12. Magnetic Moments; 13. Quaternions

14. A Variant of the Bracket for (2, n) Torus KnotsIV. The Standard Model Connection; 15. Ambiguities and Direct Comparison; 16. Some Interactions: Delta Creation and Decay; 17. Beta Decay; Interaction Recap; 18. "Deuteronomy" and Isospin Invariance; 19. Simple Symmetry and CPT Invariance; 20. Family Matters; V. Basic Concepts: Differential Geometry; 21. Preliminaries; 22. Solitonic Behavior; The Geodetic Approach; 23. The Lagrangian Approach; 24. Solitonic Antiparticles; 25. Particle Parameters: Mass and Size; 26. Mass, the Higgs and the Strong Force; 27. A Parallel to the Higgs

28. The Central "Entity"29. A Constraint; 30. Postscript: Spinoza, Clifford, Einstein, Wheeler and Me; VI. Assorted Topics, Some Speculative; 31. Time: CPT, Instantons and Triplication; More on CPT; Instantons; Triplication of Time; 32. Dark Matter; 33. TQFT; Recapitulation; 34. The String Theory Connection; 35. Another sine-Gordon System; VII. Perspective; 36. Recapitulation; 37. Cosmology, Beta Decay and Anthropic Matters; 38. Herpetological Closure; 39. The Universe and the Marketplace; 40. The Alternative Model and Quantization; 41. Quantum Gravity?; 42. Conclusions

43. Supplementary Conclusions44. Postscript; Appendices; Appendix A. Illustrating the Double Traversal Requirement; Appendix B. Torus Knot Connection Terms; Appendix C. Curvature for the Lagrangian; Appendix D. Contingency in Second Order Fusion; Appendix E. The Beta Switch; Appendix F. The Alternative Model, DNA and Dark Matter Redux; F.1. Summary of DNA (Deoxyribonucleic acid); F.2. DNA/FMS Quaternarity; F.3. Complementarity; F.4. The Depths of the FMS; F.5. The Geography of DNA; F.6. More Geography; F.7. Reflections; References; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed April 15, 2015).

ISBN:

981-4616-01-X

OCLC:

908066095