Theoretical / proof-based
Special relativity · Undergraduate · Physics
Topics
Covariant formalism
- Minkowski metric and index conventions
- Tensor transformations under Lorentz group
- Proper time and worldlines
- Four-momentum conservation proofs
- Generators of boosts and rotations
Electrodynamics in SR
- Covariant Maxwell equations
- Lorentz force four-vector
- Field transformation under boosts
- Electromagnetic stress–energy tensor
- Radiation reaction preview (Abraham–Lorentz)
Advanced topics
- Group theory of the Lorentz group SL(2,C) link
- Causality and Killing vectors
- Rindler coordinates and Unruh effect (intro)
- Relativistic hydrodynamics equations
- Experimental tests: Michelson–Morley to Ives–Stilwell
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