All Topics

Explanations of Quantum Field Theory, the Standard Model, General Relativity, and the underlying mathematics.

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