Galilean Space and Special Relativity

Galilean Space and Special Relativity: Exploring the Foundations of Modern Physics

Course Summary:

This course explores the foundational concepts of Galilean space and Special Relativity, guiding students through the transition from classical to modern physics. Topics include reference frames, time dilation, Lorentz transformations, and the 4-dimensional concept of space-time. Students will engage in theoretical and practical activities to understand the implications of relativity on motion, energy, and our perception of the universe.

Course Units:

1. Introduction to Reference Frames

   • Explore inertial and non-inertial reference frames, Galilean transformations, and the relativity of motion.

2. Foundations of Special Relativity

   • Learn about Einstein's postulates, time dilation, length contraction, and experimental evidence.

3. Lorentz Transformations

   • Derive and apply Lorentz transformations to analyze motion in relativistic contexts.

4. Space-Time and Minkowski Diagrams

   • Visualize events in 4-dimensional space-time, analyze light cones, and explore causality.

5. Applications and Implications of Special Relativity

   • Study energy-mass equivalence, relativistic momentum, and the impact of relativity on high-speed travel and modern physics.