Adex Theory: How The Ade Coxeter Graphs Unify Mathematics And Physics

Introduction; The Octahedral Group; The Octahedral Double Group; The McKay Correspondence; Lie Groups and Lie Algebras; Coxeter's Reflection Groups; Thom-Arnold Catastrophe Structures; ALE Spaces and Gravitational Instantons; Knots and Links and Braids; Twistors and ALE Spaces; 2-Dimensional Conformal Field Theories; Elliptic Curves and the Monster Group; Sphere Packing and Error-Correction Codes; Qubits and Black Holes; The Holographic Principle; Calabi-Yau Spaces; Heisenberg Algebras; Summary and Outlook; Glossary; References and Bibliography;