Interactive Playground
Each animation now lives on its own dedicated page, so every concept has room to breathe instead of competing in one crowded playground.
Field Oscillation and Mode Decomposition
Watch a scalar field evolve, split into Fourier modes, map to harmonic oscillators, and become particle quanta.
Canonical Quantization Map
Step through the replacement of classical fields by operators, commutators, ladder operators, and Fock states.
Vacuum Fluctuations and Casimir Effect
See how boundary conditions change vacuum modes and generate the force between conducting plates.
Rotations, Boosts, and Spinor Transformation
Compare vector and spinor transformations, including the 2π rotation sign flip for spin-1/2.
Left-Handed vs Right-Handed Spinors
Track how left and right chiral components transform and how mass couples them into a Dirac spinor.
Dirac Sea and Schwinger Effect
Build pair-creation intuition by tilting the energy landscape in a strong electric field.
Observer-Dependent Particle Content
Compare inertial and accelerated observers on a spacetime diagram to see why the vacuum can look thermal.
Gauge Transformation as Redundancy
Show local phase twists and gauge-field shifts while observables remain unchanged.
EM Field Quantization and Photon Polarizations
Connect classical electromagnetic waves, transverse modes, and photon creation operators.
QED Interaction Vertex
Introduce the electron-photon vertex as a perturbative building block. See how incoming and outgoing particles meet at a point where charge and energy-momentum are exchanged through the coupling.
Compton Scattering Sequence
Animate incoming and outgoing states, the two leading diagrams, and the kinematic shift.
Path Integral as Sum Over Histories
Start with many particle paths between fixed endpoints, weight each by e^{iS}, watch interference select the stationary path, then generalize the same idea to a sum over field configurations.
Generating Functional and Source Trick
Introduce a source J(x), differentiate the generating functional to pull down field insertions, and watch correlators and diagrams emerge from one master object.
Loop Diagrams and Renormalization Flow
Compare tree and loop diagrams, follow loop momentum into the ultraviolet, then see how bare parameters plus corrections become the measured, scale-dependent quantities.