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Special Relativity
Time Dilation
t = t₀ / √(1 - v²/c²)
Moving clocks run slow
Length Contraction
L = L₀ √(1 - v²/c²)
Moving objects shorten
Mass-Energy
E = mc²
E² = (pc)² + (mc²)²
Quantum Mechanics
Photon Energy
E = hf = hc/λ
Photoelectric Effect
K_max = hf - Φ
De Broglie Wavelength
λ = h / p
Uncertainty Principle
ΔxΔp ≥ ℏ/2
Nuclear Physics
Radioactive Decay
N(t) = N₀ e^(-λt)
Half-Life
t(½) = ln(2) / λ
Binding Energy
BE = (Δm)c²
1 u = 931.5 MeV/c²