Applied ITT — CyberAxis I: Death of the Dependency Chain

Applied ITT — CyberAxis I: Death of the Dependency Chain Armstrong Knight (Sensei Intent Tensor) · intent-tensor-theory.com Every spreadsheet engine since VisiCalc (1979) uses topological sort and sequential cell-by-cell recalculation. Circular references — genuine mathematical fixed points — are rejected as errors. We replace topological sort with graph Laplacian diffusion and Allen-Cahn phase separation, producing a field-based spreadsheet engine in which all cells update simultaneously, circular references are resolved as fixed points, and convergence is guaranteed by the Banach fixed-point theorem. Demonstration: A=B+1, B=A/2 — declared an error by every existing spreadsheet — converges to A=2, B=1 in ~40 field iterations. Implementation: FieldSheet.jsx — full working React demo available at the GitLab repository. Part of the Applied ITT — Executable Physics series. See also WP-05 (Variational Programming). Repository: https://gitlab.com/intent-tensor-theory.com-group/git-0-0-applied-intent-tensor-theoryWebsite: https://intent-tensor-theory.com