The Physical and Mathematical Foundation

This book presents a critical analysis of the physical and mathematical foundations of the theory of relativity, addressing the challenges inherent in understanding both classical concepts and modern relativistic ideas. The objective is to facilitate the transition from classical mechanics to relativity by systematically recalling essential classical principles, such as the measurement of space and time, classical dynamics, and the Galilean relativity principle, before progressively introducing special relativity through a physical framework based on Einstein's proposals. Methodologically, the book is structured into chapters that elucidate the foundational concepts, followed by an exploration of the Minkowski mathematical model, examining its correspondence with measurable physical quantities and emphasizing the distinctions between the two frameworks of special and general relativity. Results indicate that a clear understanding of the differences in the correspondence of physical meaning in Minkowski's model and Einstein's general relativity transcends mere mathematical formulations, offering deeper insights into the implications of these theories for our understanding of the universe.