Family Problem: New Internal Algebraic and Geometric Regularities

Family Problem: New Internal Algebraic and Geometric Regularities

by Gerald L. Fitzpatrick

Hardcover

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Product Details

ISBN-13: 9780965569507
Publisher: Nova Science Publishers, Incorporated
Publication date: 08/01/1997
Series: Monographs in Physics
Pages: 112
Product dimensions: 9.50(w) x 6.25(h) x (d)

Table of Contents

Chapter 1: Introduction and Mathematical Preliminaries

Chapter 2: The 2-Space Description of First-Family Fermions

Chapter 3: Graphical Representation of the new 2-Space

Chapter 4: Effective-Quantization and Three Families

Chapter 5: Effective-Quantization and the Q-Vector

Chapter 6: A Hierarchy Among Families Revealed

Chapter 7: Flavor Eigenstates and Their Mutually-Commuting Charge Labels

Chapter 8: Why Does the (Cayley-Hamilton) Generalization (f Replaced by F) Describe Fundamental Fermions?

What People are Saying About This

H. Pierre Noyes

Despite the phenomenological success of the "standard model of quarks and leptons" in providing a framework for analyzing high energy particle experiments using particle masses up to the highest energies currently available in the accelerator laboratories, it remains ad hoc in a vital respect. We have found three generations of quarks and leptons which fit together in the way that the standard model provides, but there is no generally accepted reason why the sequence should stop at three. Gerald Fitzpatrick goes slightly outside the usual model by generalizing the scalar "fermion number" to quantum numbers in a two dimensional real space attached to each fermion or antifermion. To do this he invokes an "organizing principle" which accomplishes precisely what is needed to solve this "family problem" posed by the observational cutoff of three generations. In so doing he provides a parsimonious formulation of the quantum numbers of the standard model, consistent with all currently known facts. At the end of the book he even provides speculative reasons why his model could be the low energy consequence of some theory which takes the final step of unifying gravitation with the strong, electromagnetic and weak interactions covered by the standard model. I sincerely hope that some young theoretical physicist will have the courage to step just slightly beyond conventional approaches and explore the path Fitzpatrick has opened. Rich rewards could lie down that road. -- (H. Pierre Noyes, Professor, Theoretical Physics, Stanford Linear Accelerator Center)

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