A constructive diagonalization based on Kleene's recursion theorem shows that deadline-bounded predictors cannot be universally correct in self-referential quantum control loops, and introduces Gödel-safe architectures to block the failure path.
Rogers,Theory of Recursive Functions and Effective Computability(McGraw–Hill, New York, 1967)
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Constructive realization of self-referential prediction limits in quantum control: Resource bounds and G\"odel-safe architectures
A constructive diagonalization based on Kleene's recursion theorem shows that deadline-bounded predictors cannot be universally correct in self-referential quantum control loops, and introduces Gödel-safe architectures to block the failure path.