ADEX Theory

How the ADE Coxeter Graphs Unify Mathematics and Physics

This book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics.

Contents:

• 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
• Two-Dimensional Conformal Field Theories
• Elliptic Curves and the Monster Group
• Sphere Packing and Error-Correcting Codes
• Qubits and Black Holes
• The Holographic Principle
• Calabi–Yau Spaces and Mirror Symmetry
• Heisenberg Algebras
• Summary and Outlook
• Bibliography
• Glossary
• Index

Readership: Researchers in mathematical physics.