A wiki for understanding modern physics with emphasis on precise mathematical foundations. Making Quantum Field Theory, the Standard Model, and General Relativity accessible to mathematicians and students.

Topics

Bohr's Atomic Model and Spectral Lines Quantum MechanicsHistoryAtomic PhysicsFoundations Electroweak Unification: How Electromagnetism Emerges Standard ModelGauge TheorySymmetry BreakingHiggs What are Fiber Bundles and why do they matter in physics? MathematicsFiber BundlesGauge Theory Gauge Theory vs General Relativity: The Deep Unity Gauge TheoryGeneral RelativityGeometryFoundations Why can't gravity be unified with Quantum Mechanics? GravityQFTFoundationsOpen Problems The Harmonic Oscillator Quantum MechanicsClassical MechanicsFoundationsExamples How does the Heisenberg uncertainty relation relate to Lie algebras? Quantum MechanicsLie AlgebrasMathematics Particle Types Overview Standard ModelParticles How do particle types relate to mathematical objects? MathematicsStandard ModelRepresentation Theory Is QFT based on Riemannian Geometry? QFTGeometryFoundationsFiber Bundles How does QFT differ from Quantum Mechanics? QFTQuantum MechanicsFoundations Quantum Mechanics and Functional Analysis Quantum MechanicsMathematicsFoundationsHilbert Spaces The Schrodinger Equation Quantum MechanicsFoundations What is a Lagrangian? FoundationsClassical MechanicsQFT What is Wick Rotation and why does it work? QFTPath IntegralsMathematics