Special relativity

  1. Introduction to special relativity
  2. Light cones and causality
  3. Lorentz transforms lives
  4. The correct resolution of the twin paradox
  5. Minkowski everything -- invariants
  6. Relativistic dynamics
  7. Minkowski everything -- spacetime vectors, rapidity
  8. Special relativity in 3 dimensions -- Thomas rotation, etc.
  9. Orthogonal group, indefinite orthogonal group, orthochronous stuff
  10. Special relativity with acceleration, Newtonian gravity
  11. Lorentz invariance of classical electromagnetism
  12. Lorentz group -- tachyonic Lorentz group
  13. Tensors in relativity
Problem-solving in special relativity (including special relativistic gravity)
  1. Is the velocity of light invariant? [1]
  2. How do angles transform under Lorentz transformations?
  3. How does temperature transform under Lorentz transformations?
  4. Various classical problems taking relativity into account

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