← All Modules
Intermediate · 10 Topics
Special Relativity
Lorentz transformations, time dilation, length contraction, relativistic energy-momentum, four-vectors, and spacetime geometry.
1
Einstein's Postulates & Spacetime
The two postulates of special relativity, simultaneity, the spacetime interval, and why Newton's mechanics needed revision.
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2
Lorentz Transformations
The Lorentz boost, inverse transformation, four-vector notation, and the group structure of Lorentz transformations.
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3
Time Dilation
Moving clocks run slow, proper time, the twin paradox, and experimental verification with muons and atomic clocks.
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4
Length Contraction
Moving objects are shorter along the direction of motion; proper length, Lorentz contraction, and Penrose-Terrell rotation.
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5
Relativistic Momentum & Dynamics
Relativistic momentum, Newton's second law revisited, four-force, and why nothing with mass can reach c.
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6
Relativistic Energy & Mass-Energy Equivalence
Rest energy, total energy, mass-energy equivalence, binding energy, and pair production/annihilation.
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7
Four-Vectors & Tensors
Four-position, four-velocity, four-momentum, and the covariant formulation of special relativity.
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8
Spacetime Diagrams
Minkowski diagrams, worldlines, light cones, causality, proper time from the diagram, and Lorentz boost geometry.
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9
Relativistic Collisions & Decays
Conservation of four-momentum, invariant mass, threshold energies, and the kinematics of particle physics reactions.
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10
Relativistic Electrodynamics
Field transformations between frames, the electromagnetic field tensor, and the Lorentz force as a four-force.
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