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Classical Mechanics
Newton to Hamilton
Foundational1687 — present
Motion, forces, energy, and the elegant reformulations of Lagrange and Hamilton that underpin all of modern physics.
- Newton's laws
- Conservation laws
- Rigid body dynamics
- Lagrangian mechanics
- Hamiltonian mechanics
- Chaos
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Classical Optics
Light as a wave
Foundational1690 — present
Geometric and wave optics: reflection, refraction, interference, diffraction, polarization, and the design of optical instruments.
- Geometric optics
- Interference
- Diffraction
- Polarization
- Fourier optics
- Lasers
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Electromagnetism
Maxwell's unification
Intermediate1820 — present
From Coulomb's law to Maxwell's equations and electromagnetic waves — the theory that gave us light, radio, and relativity.
- Electrostatics
- Magnetostatics
- Faraday & Ampère
- Maxwell's equations
- EM waves
- Radiation
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Thermodynamics & Statistical Mechanics
Heat, entropy, ensembles
Intermediate1824 — present
Laws of thermodynamics and the statistical foundations that connect microscopic dynamics to macroscopic behavior.
- Laws of thermodynamics
- Entropy
- Free energies
- Ensembles
- Phase transitions
- Fluctuations
ψ
Quantum Mechanics
Waves, operators, probability
Advanced1925 — present
The strange, beautiful theory of the very small: superposition, entanglement, measurement, and the Schrödinger equation.
- Wave functions
- Operators & observables
- Schrödinger equation
- Angular momentum
- Perturbation theory
- Entanglement
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Nuclear Physics
Inside the atom
Advanced1896 — present
Structure of the nucleus, radioactive decay, nuclear reactions, fission and fusion — and how stars forge the elements.
- Nuclear structure
- Radioactivity
- Decay modes
- Fission & fusion
- Nucleosynthesis
- Reactor physics
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Particle Physics
The Standard Model
Advanced1960s — present
Quarks, leptons, gauge bosons and the Higgs — plus the open questions that point beyond the Standard Model.
- Quarks & leptons
- Gauge symmetries
- Higgs mechanism
- QED & QCD
- Neutrino physics
- Beyond the SM