This book is centered on the most pressing unsolved problem in elementary particle physics — the mass generation of particles. It contains physics that is not included in the Standard Model as it is now formulated, while at the same time being in conformity with the major results of the Standard Model, i.e. isotopic spins and interactions. It differs from the Standard Model in the treatment of masses and pseudoscalar mesons, and in the role assigned to the coupling constant α. Presented in a careful and phenomenological way, the material can easily be followed by all physicists, both experimental and theoretical, and also by interested workers in other fields. The author's website — 70mev.org — gives additional information about the applications of the constant α in particle physics.Errata(s)ErrataContents:A Pictorial Journey Through the Landscape of α-Quantized Elementary Particle Lifetimes and MassesLifetime and Mass α-Quantization: Physics Beyond the ParadigmThe Phenomenology of α-Quantized Particle Lifetimes and Mass-WidthsThe Phenomenology of Reciprocal α-1 and α-2 Particle Mass QuantizationThe Mathology of the Elementary Particle: The Relativistically Spinning SphereThe Mathology of Particle Waves: The Particle-Hole PairThe Mathology of the Fine Structure Constant α = e2/ħcRamificationsReadership: Physicists, graduate students and advanced undergraduates in particle physics.