Lab notebook

From Any Point · Sync Lab

How order condenses out of coupling — from Huygens' two clocks to a triangular tile under a flashlight. With live, interactive simulators and a running build log.

Started 2026-06-13 · branch feature/resonance-mode · a conversation between Justin West & Claude

00The through-line

Every system below is running the same idea: a population of things, each with its own rhythm, nudging its neighbors — and order emerging that nobody designed and no single unit controls. It shows up across 350 years and a dozen disciplines.

The punchline arrives at the end of that list. From Any Point (2017) — triangular tiles as independent circuits, talking over infrared, exhibiting "swarm behavior like a flock of birds or a school of fish," firing a chain reaction from wherever you point a flashlight — was already a physical coupled-oscillator network. The title is the thesis: self-organization has no privileged origin. Perturb it anywhere; the same emergent texture condenses out.

01Spontaneous sync — the Kuramoto model

The equation that finally explained it (Kuramoto, 1975): each oscillator drifts at its own pace and feels a pull toward the swarm's average phase, dθᵢ/dt = ωᵢ + K·r·sin(ψ − θᵢ). The order parameter r (the green vector) measures coherence: 0 = chaos, 1 = lockstep. Below a critical coupling nothing happens; cross it and order erupts like water freezing.

02When sameness breaks — a chimera state

The strange one (Kuramoto & Battogtokh, 2002). Identical oscillators, identical rules, on a symmetric ring — yet with nonlocal coupling and a phase lag near π/2 the ring tears itself into a synchronized arc and an incoherent arc that refuse to merge. There is no symmetry reason for it. The symmetry breaks itself.

03Conversation log

• research
  A fan-out of agents gathered and adversarially fact-checked the science — Huygens (Feb 1665, antiphase, bedridden), Winfree (1967), Kuramoto (1975), synchronous fireflies (John Buck) and the decades of Western disbelief, the Mirollo–Strogatz proof (1990), the Millennium Bridge (opened 10 Jun 2000, closed 12 Jun, reopened Feb 2002), chimeras (2002 / named 2004), and Néda et al.'s applause paper (Nature 2000). All twelve high-risk claims confirmed.
• connection
  Found From Any Point in ~/Repos/fromanypoint and its 2017 artist statement. Realized it isn't inspired by this physics — it's a sibling model: an excitable-medium cellular automaton (idle → active → cooling) on 20 tessellation coupling-graphs, wired to a synthesizer. The tessellation choice is the coupling topology. And Tamás Vicsek — whose flocking model is exactly "swarm behavior like a flock of birds" — is a literal co-author of the applause paper cited above. The conversation closed its own loop.
• decision
  Build a new Resonance mode: each tile becomes a Kuramoto phase oscillator coupled across its edge-neighbors, so the tiling pulses and sings on its own — the 2017 hardware swarm, reborn in software on 20 lattices it never had. Map phase → pitch so synchronized regions become consonant. Held to the repo's test-first, 100%-coverage bar, on this branch.

04Build log — Resonance mode shipped

• step 0 · context
  Read app.js (game loop + onActivate→playTone seam), audio.js (event-based synth, random pitch today), propagation.js (the excitable state machine), and BaseGrid.js (edge-adjacency already computed). Branched feature/resonance-mode. Created this notebook.
• step 1 · design
  Design approved. Each tile becomes a Kuramoto oscillator on the edge-graph. Switchable dynamics (oscillatory self-running fires / excitable rest-threshold-refractory), switchable pitch (random / rhythm→pitch / coherence→harmony), v1 scope = solid sync + traveling waves with a phase-lag knob (chimeras a follow-up). One new pure module js/resonance.js; the rest reused.
• step 2 · spec
  Wrote docs/superpowers/specs/2026-06-13-resonance-mode-design.md — full architecture, the one-kernel/two-firing-rules math, the three pitch maps, file-by-file change list, and a 100%-coverage test plan. approved
• step 3 · plan
  Wrote a 13-task, test-first plan (docs/superpowers/plans/2026-06-13-resonance-mode.md) and executed it subagent-driven — a fresh implementer per task with spec + code-quality review between each. The reviews caught and fixed two real issues mid-build (a ring-topology seeding artifact, and a silent excitable fire-budget drop) and reverted a coverage gate a subagent had wrongly weakened.
• step 4 · built & verified live
  Resonance mode ships: js/resonance.js (Kuramoto field on the edge-graph, 100% covered), additive audio.playNote, and config/state/settings/HTML/app wiring via an input kick facade that left input.js untouched. Driven in a real browser — in oscillatory mode the non-idle tile count ramps 0 → 318 → 1080 of 1206 as the tessellation wakes itself into a collective pulse; switching to excitable settles it back toward rest (1112 → 7). 618 tests green, full CI gate clean. The 2017 hardware swarm, reborn in software on 20 tilings. live
• step 5 · chimera
  Extended Resonance with nonlocal Euclidean-disc coupling (Gaussian kernel, K/Σw normalization), a substepped integrator (so Euler doesn't smear the incoherent core), a vortex seed on click, and a toggleable coherence view — landing a self-organizing 2D spiral-wave chimera: a coherent rotating arm around a pinned, incoherent core. Verified live on the curated Chimera preset (2130 triangular tiles, α≈0.5, identical frequencies): a click plants a topological phase vortex, and the incoherent core holds stable at ~1% of tiles within a ~44px radius — a tight, contiguous, persistent core in a 96%-coherent sea, the defining chimera signature. The research was right: the spiral wants a small phase lag, and the core is something you place "from any point." live
• step 6 · guidance
  Made the instrument legible to newcomers: plain-language hints on the science-y controls (Coupling, Phase Lag, Coupling Range, Coherence View, …) and an About / How it works overlay — the "from any point" idea, what coupled oscillators are doing, a start-here tour, and a link to this notebook (now served at /sync-lab/). Evocative but accessible; the science is invited, not lectured. live
• step 7 · review
  The Codex review bot flagged two P2s on the guidance PR, both real: app shortcuts (Space/arrows/F/R/…) still fired on the canvas behind the open About modal, and the notebook link was root-relative so it could 404 under a deploy path prefix. Fixed both — a single modal-aware guard in the input layer (which also closed the help overlay's identical latent leak) and a relative ./sync-lab/ link. 647 tests green, CI clean. resolved