Classical mechanics
F = ma · ½mv² · L = T − V
Newton's laws, energy, oscillations, rigid bodies, Lagrangian. The foundation.
Electricity & magnetism
∇·E = ρ/ε₀ · ∇×B = μ₀J + …
From Coulomb's law to Maxwell — the road to electromagnetic waves and light.
Quantum mechanics
iℏ ∂ψ/∂t = Ĥψ
Postulates, operators, spin, perturbation theory. From "what is wave-particle?" to ladder operators.
Thermodynamics & stat mech
dS ≥ dQ/T · Z = Σ e^(−βE)
Heat, entropy, partition functions. Why ice melts and why time has a direction.
Optics & waves
n₁ sin θ₁ = n₂ sin θ₂
Reflection, refraction, interference, diffraction. Light as wave and ray.
Relativity
E² = (pc)² + (mc²)² · ds² = …
Special and general — clocks, geodesics, why gravity is geometry.
Solid state & condensed matter
k-space · band structure · phonons
Why metals conduct, why semiconductors switch, why magnetism happens.
Particle physics & QFT
ℒ = ψ̄(iγ^μ ∂_μ − m)ψ + …
Standard model, gauge fields, Feynman diagrams. The deep end.