IndisputableMonolith.Foundation.GodelDissolution

This module defines stabilization and divergence of configurations under iterated dynamics in Recognition Science, with stabilization meaning convergence to zero defect. It establishes that self-referential queries are impossible by deriving contradictions with the Law of Existence and RS ontology predicates. Researchers on RS foundations cite these results to address apparent self-reference paradoxes. The structure relies on definitions of convergence plus direct reductions to defect-zero existence.

claimA configuration $x$ stabilizes if iterated dynamics yield zero defect: there exists a sequence with $x_0 = x$ and defect$(x_{n+1}) = 0$ for large $n$. Divergence occurs when defect remains positive. Self-referential queries are impossible under the RS ontology where existence requires defect$(x) = 0$ and truth is J-cost selection.