Quantum Mechanics in the Geometry of Space-Time

"Quantum Mechanics in the Geometry of Space-Time" is a technical book that focuses on theoretical physics in the context of Minkowski space-time geometry. It builds on the foundational works of Arnold Sommerfeld and David Hestenes and offers an innovative perspective on the Dirac equation by reformulating it in a real space-time algebra. This approach illuminates the geometric significance of the imaginary unit in quantum mechanics. Furthermore, it explores how electroweak theory can be integrated into Dirac theory, leading to a new interpretation within the framework of space-time geometry. The book also addresses the implications for quantum electrodynamics and provides a comprehensive presentation of real quantum electromagnetism in an appendix. It is aimed at readers who are familiar with both the complex and real languages of physics and offers a step-by-step translation between these two approaches.