Tazzio Tissot, Mike Levin, Chris Buckley, Richard Watson (2024), bioRxiv.

Key takeaways

From the reading, NOTE-773.

  • The set-up. 30 modules of 10 bistable units; couplings 1 inside a module and 0.01 across; 2^30 local optima and two global ones. Each unit’s decision cycle γ_i(t) = (sin(ωt + θ_i) + 1)/2 alternates between sensitive and inactive, and acting and insensitive.
  • The timing rule. θ_i ← θ_i + ν Σ_j (π/4) c_ij sgn(s_i s_j) sin(θ_j − θ_i): a unit moves its phase toward partners it currently agrees with. It is a gradient on cycle-averaged payoff, “loosely analogous” to oscillator entrainment.
  • The transition. Without the rule 0 of 50 runs reach a global optimum. With it, phases synchronise within modules, the modules “wake up” suddenly (mostly before t = 20,000), and 50 of 50 runs with the learned phases reach one. Blocks switch “like a single macro-scale unit”.
  • Specific, not global. Synchrony imposed across all units gives no transition. Membership is “who is synchronised with whom”.
  • Why it works. When a module’s members are all sensitive at once, none acts on the others, so only the weak outside pull remains: attention turns “from the ingroup to the outgroup”. No signal passes within the module.
  • Beyond one game. The learned timing solves other games over the same modules, arises by selection on timing (about 10⁶ against 10⁴ steps), and iterates to meta-modules, though not scale-invariantly.

Standing in the record

Filed on 2026-10-12 from the owner’s papers-feed for QUESTION-035, and read on 2026-10-14 in NOTE-773. The seed claim, that aligned timing makes a unit that acts as one, is confirmed for the model. It bears on CLAIM-172 with a qualification: what made the unit was synchrony matched to the strong couplings, not common timing as such. It bears on CLAIM-157 as a case where the block is there before and after, and only its behaviour as a unit changes. THEORY-265 is filed from it. It is the model that THEORY-232 and Watson’s essay (LIT-990) cite as unpublished.