Teacher · Implementation laboratory

POC — Inner/Outer Triad Relation Oscillation

Two triads, each continuing its own update recursion at its own rate (ωinner, ωouter). Their relation phase (θinner − θouter) is read through the same triadic law X(θ)=((1−cosθ)/2,(1+cosθ)/2,sinθ), and its own I/O read as innerSize/outerSize. innerSize+outerSize=1 at every instant — when the inner triangle grows the outer one shrinks by the exact same amount, continuously, because the relation phase never stops moving. Set both rates equal to see the relation freeze and the oscillation stop: that is the negative case, proving the effect needs two genuinely distinct cycles, not a decorative second angle. This bounded diagnostic does not apply the relation back into either oscillator; causal coupling and changed return are exercised by the governed G4/G6 runtime in the Teacher.

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