About the Book

Over the past eight decades, researchers have sought to develop a new framework that would resolve the anomalies attributable to a patchwork formulation of relativistic quantum mechanics. This book chronicles the development of a new paradigm for describing relativistic quantum phenomena.

What makes the new paradigm unique is its inclusion of a physically measurable, invariant evolution parameter. The resulting theory has been sufficiently well developed in the refereed literature that it is now possible to present a synthesis of its ideas and techniques. My synthesis is intended to encourage and enhance future research, and is presented in six parts.

The environment within which the conventional paradigm exists is described in the Introduction. Part I eases the mainstream reader into the ideas of the new paradigm by providing the reader with a discussion that should look very familiar, but contains subtle nuances. Indeed, I try to provide the mainstream reader with familiar "landmarks" throughout the text. This is possible because the new paradigm contains the conventional paradigm as a subset.

The foundation of the new paradigm is presented in Part II, followed by numerous applications in the remaining three parts. The reader should notice that the new paradigm handles not only the broad class of problems typically dealt with in conventional relativistic quantum theory, but also contains fertile research areas for both experimentalists and theorists. To avoid developing a theoretical framework without physical validity, numerous comparisons between theory and experiment are provided, and several predictions are made.

Table of Contents

FRONT MATTER

Preface
1. Introduction

PART I:  PARAMETRIZED RELATIVISTIC CLASSICAL MECHANICS

2. Special Relativistic Dynamics
3. Alternative Formulations of PRCM
4. Statistical PRCM
5. General Relativity in PRCM

PART II:  FOUNDATIONS OF  PARAMETRIZED RELATIVISTIC QUANTUM MECHANICS

6. Symmetry Principles
7. Probabilistic Basis
8. Physical Correspondence
9. Spin-0 Particle
10. Spin-½ Particle
11. Evolution Parameter Measurements

PART III:  APPLICATIONS OF PARAMETRIZED RELATIVISTIC QUANTUM MECHANICS

12. Bound State Models
13. Particle Stability
14. Parameter Independent Perturbation Theory
15. Introduction to Scattering Theory
16. Electromagnetic Scattering of a Spin-0 Particle
17. Statistical PRQT

PART IV: INTRODUCTION TO TACHYON PHYSICS

18. Parameter Dependent Perturbation Theory
19. Mass State Transitions at Scattering Vertices
20. Tachyon Kinematics

PART V: INTRODUCTION TO  PARAMETRIZED RELATIVISTIC QUANTUM FIELD THEORY

21. Foundations of Field Theory
22. Properties of the Field Theory
23. Epilogue - A Quixotic Quest?

BACK MATTER

Appendix
Bibliography
Index