DYNAMICS / BILLIARD / DYNAMICAL BILLIARD OBSERVATORY
- What to watch
- Change the boundary and follow a point through free flight and mirror-like collisions. Compare its path with the same collisions on a boundary map.
- Lab signal
- Change the boundary and follow a point through free flight and mirror-like collisions. Compare its path with the same collisions on a boundary map.
TIME / SYNCHRONIZATION / TEMPORAL ENTRAINMENT CHAMBER
- What to watch
- Tap a pulse, change the delayed reference and coupling, and watch drift, beats, slips, and phase locking emerge.
- Lab signal
- Tap as one oscillator and observe phase drift, beats, phase slips, and renewed synchronization with a reference oscillator.
CAUSALITY / LIGHT CONE / CAUSAL CONE OBSERVATORY
- What to watch
- Place events on a discrete space-time grid and watch finite local rules form cones, diamonds, overlaps between future regions, and unreachable regions.
- Lab signal
- Place events on a discrete space-time grid and watch finite local rules form future cones, causal diamonds, overlaps between future regions, and unreachable regions.
TIME / SYNCHRONIZATION / DISTRIBUTED CLOCK NETWORK
- What to watch
- Place local clocks on a network and watch delay, drift, offset, and temporary agreement emerge.
- Lab signal
- Place local clocks on a network and observe delay, drift, offset, and temporary agreement emerge between them.
TIME / SYNCHRONIZATION / COLLECTIVE SYNCHRONIZATION TRANSITION FIELD
- What to watch
- Adjust coupling and frequency spread, then watch 64 autonomous oscillators move from disorder through partial synchrony toward collective order.
- Lab signal
- Adjust coupling and intrinsic-frequency spread, then watch 64 autonomous oscillators move from disorder through partial synchrony toward collective order.
TIME / ALIASING / TEMPORAL ALIASING OBSERVATORY
- What to watch
- Compare continuous rotation with discrete samples and watch forward, frozen, or reversed readings emerge through Nyquist and exposure ambiguity.
- Lab signal
- Compare a continuously rotating signal with discrete samples and observe forward, frozen, or reversed readings caused by Nyquist and exposure ambiguity.
PULSE / PULSE PROPAGATION CHAMBER
- What to watch
- Fire pulses through a network and watch delay, sync, echo, and route memory.
- Lab signal
- Fire pulses through a network and watch delay, sync, echo, and route memory appear.
NEURAL / NEURAL SIGNAL FIELD
- What to watch
- Break paths and follow how signals form bypasses through a changing graph.
- Lab signal
- Stimulate nodes, break paths, and watch pulses reroute through a changing network.
NETWORK / SLIME NETWORK OBSERVATORY
- What to watch
- Place food and blocks, then watch route traces grow, fade, and reroute.
- Lab signal
- Place food and blocks, then watch paths reroute and fade.
BRANCH / DECISION TREE COLLAPSE
- What to watch
- Add pressure and noise until branches lock, fade, or collapse.
- Lab signal
- Add pressure and noise, then watch branches grow, lock, fade, and collapse.
EQUATION / DIFFERENTIAL EQUATION CHAMBER
- What to watch
- Switch systems and tune terms until paths converge, orbit, or escape.
- Lab signal
- Change equation terms and watch motion spiral, pulse, or settle.
WAVE / HARMONIC RESONANCE
- What to watch
- Tune frequency, phase, and damping until waves reinforce or cancel.
- Lab signal
- Tune frequency, phase, and amplitude until waves lock, cancel, or stand still.
CHAOS / CHAOS CHAMBER
- What to watch
- Move one control and watch a steady cycle split into chaotic motion.
- Lab signal
- Tune the logistic map and watch steady motion split into chaos.
CANDIDATE / NEXT WORD OBSERVATORY
- What to watch
- Send a short sentence through a small weighted network, then change a clue and watch candidate rankings move.
- Lab signal
- Watch how a simplified AI word model passes signals across layers, then change a clue or weight and see the next-word candidates reorder.
DYNAMICS / PHASE SPACE / SYMPLECTIC MAP PHASE SPACE OBSERVATORY
- What to watch
- Iterate an area-preserving map and read its phase-space trace, rotation number, finite-time Lyapunov exponent, and finite-sample regime.
- Lab signal
- Iterate an area-preserving standard map and read its phase-space trace, rotation number, finite-time Lyapunov exponent, and finite-sample regime.
DYNAMICS / POINCARé SECTION / DOUBLE PENDULUM POINCARE OBSERVATORY
- What to watch
- Integrate a continuous double pendulum, then read the upward theta2 = 0 crossing as a Poincaré section.
- Lab signal
- Observe a continuous-time double pendulum through a deterministic Poincaré section and compare regular-island and chaotic-sea candidates without claiming a formal chaos proof.