Textbook in PDF format This book explores five core themes within a comprehensive geometrical framework for describing fundamental interactions — an innovative realization of Einstein's long-standing vision. 1. A Five-Dimensional Framework: It presents a complete five-dimensional description of fundamental interactions, where energy is treated as a physical, extended, and measurable fifth dimension. A key result is the derivation of the fifth metric component corresponding to the energy coordinate, achieved using the mathematical tool of Ricci Flow. 2. The Angle Law: The book introduces the angle law, a novel approach to describing geometrical and directional violations of local Lorentz invariance, contrasting with conventional kinematical interpretations and their limitations. 3. The Shadow of Light: It examines the phenomenon known as the shadow of light as a potential signature of local Lorentz invariance violation, interpreted through a metric-based description of the electromagnetic interaction. 4. The Torsional Antenna: A new class of electromagnetic systems — torsional antennas — is proposed, functioning in accordance with the angle law and demonstrating unique electromagnetic properties. 5. Matter Metamorphosis and Asymmetry: The book explores matter metamorphosis, a process of nuclear-level transformation occurring when matter is structured according to the angle law. It also investigates the fundamental geometrical and directional asymmetry arising from local Lorentz violation, governing both electromagnetic and nuclear processes on Earth and influencing cosmic phenomena such as the Cosmic Microwave Background