Butterfly Pendulums

Hundreds of double pendulums, released a hair's width apart, swinging past a black hole.

0.00 ssimulated
Drag the black hole to move it · drag anywhere else to set the release point · Space pauses
Time machine 1 timeline
now

Drag the slider to revisit any recorded moment, then press Play to branch a new timeline from there. Or reverse every velocity and see whether the swarm can fall back to where it started.

Black hole
0swallowed by the horizon
1.00×slowest clock nearby

With time dilation on, a bob falling in appears to slow, redden and freeze at the edge, which is what a distant observer would see. Turn it off and bobs simply plunge through.

Divergence
—spread of lower bobs
—Lyapunov estimate, 1/s

On a log scale, chaos shows up as a straight climb. Its slope is the Lyapunov exponent: how fast tiny differences grow. A black hole nearby makes the climb steeper.

Pendulums
aivoice.tech