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name: braindance-worlds description: GF(3)-conserved distribution of Claude threads across Aptos worlds version: 1.0.0

Braindance Worlds

Distribute threads to worlds preserving Σ ≡ 0 (mod 3).

Algorithm

Copy1. Hash each thread → trit ∈ {-1, 0, +1}
2. Sum thread trits: T = Σ(t_i)
3. Select worlds where Σ(w_j) ≡ -T (mod 3)
4. Match by semantic affinity (letter → topic)

Distribution (14 threads → 14 worlds)

Conservation

CopyΣ(worlds)  = 5(+1) + 5(0) + 4(-1) = +1
Σ(threads) = 2(+1) + 12(-1)       = -10
TOTAL      = -9 ≡ 0 (mod 3) ✓

Semantic Affinity Map

Copy{:c "Cantordust" :r "Radare" :x "eXtract" :f "Fault-tolerance"
 :e "Embedding" :n "NeurIPS" :t "Topology" :w "WASM"
 :a "Automata" :d "DAO" :s "Sonification" :v "reVerse"}

Query

Copy# Unzip + assign
unzip -l ~/Desktop/braindances.zip | awk 'NR>3{print $4}' | \
  while read f; do echo "$f → world_$(echo $f | md5 | cut -c1)"; done

Unassigned Worlds

b g h i j k l m o p q u y z — available for future threads.