Interactive simulations of strange-but-real physics — built to sharpen questions, not to settle them. None of this is peer-reviewed. All of it is honest about exactly what it is. One wing of the Brokenbranch Lab — the physics one; the front door to every experiment is at /lab/.
romance in the questions. rigor in the claims.
research wing · honest nulls on the books · last walked 2026-06-11
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The flagship process artifact: a machine-assisted research ladder, recorded end-to-end in Erdős's provenance ledger — and honest enough to report its own headline thesis as null. The physics is prior art; the auditable trail is the product.
The headline thesis died. A coordination–information tradeoff as a communication channel in coupling strength: convergent null across ~11 instruments and 6 parallel agents. Load-bearing, and kept on the books.
What survived: the order-parameter susceptibility peaks at partial
coherence — a discovered closed form χ(r) = a·r²(1−r)³ with its
interior maximum at r* = 2/5 (R² = 0.967), confirmed analytically in mean field.
The cross-scale echo: quantum transport (ENAQT) shows the same up-then-down shape at intermediate coupling. An empirical analogy, not a demonstrated shared mechanism — the adversarial audit downgraded it, and the downgrade stands.
The shape claim is machine-checked: a Lean 4 + mathlib proof that the
representative hump x(1−x) has an interior global maximum compiles
green, sorry-free, standard axioms. The exact fitted form is the one remaining step.
Every rung above is a node in a replayable provenance DAG with four confidence layers — walk the trail at Erdős. Or skip the ledger and watch the result blink: Fireflies — the coordination inversion as a field of synchronizing lights you can steer.
On the bench: a quantum compass that may explain how birds navigate, and other corners of quantum biology where the questions are open and the parameter ranges are published. Nothing promised until it's playable.