Loop quantum gravity, unfolded
Quantum geometry · states · amplitudes
Loop quantum gravity,
unfolded.
Loop quantum gravity builds spacetime from finite, quantum-geometric pieces: discrete states of area and volume, and quantum transitions between them. The sections below unfold this construction, from a guided build to a free exploration of its equations and diagrams.
01 · Guided construction
Build LQG
A step-by-step construction of the theory, from the classical action to boundary states and quantum dynamics, with the assumptions at each stage made explicit.
Begin the chapter →02 · Free exploration
Equation Atlas
127 numbered equations to browse at your own pace: choose a route, expand any step, check a source and copy the LaTeX.
Explore the mathematics →03 · Annotated wiring
Diagram Lab
The four-simplex boundary as an interactive diagram: inspect its ports, spins, intertwiners and causal signs.
Work with the diagrams →One boundary, two routes
Canonical quantization describes states and geometric operators on a graph. The covariant route assigns amplitudes to transitions between those boundary states.