Interactive Simulations

Watch how fern-like branching structure samples delay coordinates from a 1D signal to reconstruct high-dimensional motor dynamics. This is why Purkinje dendrites look like ferns—and why 'chair flying' works.

Companion to: The Cerebellum as Delay-Coordinate Sampler

2000 photon detections. Click to postselect on different idler detector outcomes. The data never changes — only which subset you examine. Watch interference fringes appear and disappear.

Companion to: Quantum Mechanics Without the Math

Coupled oscillators (left) spontaneously synchronize through physics. Independent switches (right) can only coordinate through explicit programming. This is why evolution chose the slow 'soup' over fast 'sparks'.

Companion to: Coherence Dynamics Circa 1890

Watch two Kuramoto lattices synchronize via coupling faster than an observer can detect. The green line (coherence) rises before the orange line (observer confidence)—the gap is the 'blind spot' where sync has occurred but cannot be verified.

Companion to: Timing Inaccessibility and the Projection Bound

Phase-preserving embeddings of cyclic processes require k ≥ 3 to remain temporally distinct. Toggle between k=3 (helix) and k=2 (circle) to see how dimensional collapse forces self-intersections.

Companion to: Minimal Embedding Dimension for Self-Intersection-Free Processes

A protein folding simulation showing why external observers cannot track high-dimensional dynamics. Watch as the observer's reconstruction diverges from reality—the gap is fundamental, not technological.

Companion to: The Limits of Falsifiability