| _version_ | 1866901220944248832 |
|---|---|
| author | Knight, Armstrong |
| author_facet | Knight, Armstrong |
| contents | <p><strong>Applied ITT - ARC-AGI from Field Theory: Fan Surface Operators and the Collapse PDE</strong></p><p><em>Armstrong Knight — intent-tensor-theory.com</em></p><p>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.</p><p>Running implementation: <a href="https://intent-tensor-theory.com/applied-itt/">intent-tensor-theory.com/applied-itt</a></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19412938 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Applied ITT - ARC-AGI from Field Theory: Fan Surface Operators and the Collapse PDE Knight, Armstrong Intent Tensor Theory intent-tensor-theory.com ICHTB Collapse Tension Substrate i₀ scalar anchor Applied ITT ARC-AGI field theory fan surface operators collapse PDE <p><strong>Applied ITT - ARC-AGI from Field Theory: Fan Surface Operators and the Collapse PDE</strong></p><p><em>Armstrong Knight — intent-tensor-theory.com</em></p><p>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.</p><p>Running implementation: <a href="https://intent-tensor-theory.com/applied-itt/">intent-tensor-theory.com/applied-itt</a></p> |
| title | Applied ITT - ARC-AGI from Field Theory: Fan Surface Operators and the Collapse PDE |
| topic | Intent Tensor Theory intent-tensor-theory.com ICHTB Collapse Tension Substrate i₀ scalar anchor Applied ITT ARC-AGI field theory fan surface operators collapse PDE |
| url | https://doi.org/10.5281/zenodo.19412938 |