Roadmap

Progress through the curriculum. Checked items are complete.

Phase 1: Foundations

1.1 The Principle of Least Action
1.2 Lagrangian Mechanics
1.3 Symmetries & Conservation
1.4 Hamiltonian Mechanics
1.5 Mathematical Foundations

Phase 2: Quantum Mechanics

2.1 Foundations
2.2 Exactly Solvable Problems
2.3 Approximation Methods
2.4 Entanglement & Measurement
2.5 Interpretations
2.6 Path Integrals

Phase 3: Electromagnetism

3.1 Maxwell's Equations
3.2 Electromagnetic Waves
3.3 Gauge Invariance
3.4 Relativistic Formulation

Phase 4: Special Relativity

4.1 Postulates & Lorentz Transformations
4.2 Spacetime Diagrams
4.3 4-Vectors & Invariants
4.4 Relativistic Mechanics
4.5 E = mc²

Phase 5: Statistical Physics

5.1 Entropy & the Second Law
5.2 Ensembles
5.3 Quantum Statistics
5.4 Phase Transitions
5.5 Information & Entropy

Phase 6: General Relativity

6.1 Differential Geometry
6.2 Einstein Field Equations
6.3 Schwarzschild Solution
6.4 Black Holes
6.5 Gravitational Waves
6.6 Cosmological Solutions

Phase 7: Quantum Field Theory

7.1 Free Fields
7.2 Interactions
7.3 Renormalization
7.4 Gauge Theories

Phase 8: The Standard Model

8.1 Particle Content
8.2 Electroweak Unification
8.3 QCD
8.4 Neutrino Physics
8.5 Beyond the Standard Model

Phase 9: Cosmology

9.1 The Big Bang
9.2 Inflation
9.3 CMB Physics
9.4 Dark Matter
9.5 Dark Energy
9.6 Structure Formation

Phase 10: Frontiers

10.1 Quantum Gravity
10.2 Foundational Questions
10.3 Information & Physics
10.4 Cross-Field Connections