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Technical application solves collapse PDE in scalar fields, suggesting new computational methods.
Applied ITT - ARC-AGI from Field Theory: Fan Surface Operators and the Collapse PDE Armstrong Knight — intent-tensor-theory.com ARC-AGI is solved by treating each grid as a scalar potential field where Phi equals the cell color. Four field primitives (Phi, nabla*Phi, sigma, rho_q) and six fan surface operators Delta_1 through Delta_6 are defined. Each task receives a 6-bit activation signature. Solutions are found via compositional beam search minimizing a combined residue-energy objective. Three admissibility gates enforce physical consistency. Running implementation: intent-tensor-theory.com/applied-itt
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Armstrong Knight (2026) studied this question.
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