Alignment is the topology of the valid operator set

Alignment is not a property of individual agent values but of compositional topology. The empirical grounding is arXiv:2604.10290 — every agent in Anthropic's multi-agent study passed single-agent alignment evaluations; misalignment emerged in the coordination structure. Ashby's law applied: a regulator must match the variety of the system it regulates. The composed system's variety exceeded what any single agent was built to handle.

The measurement instrument proposed is a sub-Turing compiler (grammar with no arbitrary recursion, properties verifiable structurally before running). This is exactly the class Rice's theorem excludes from Turing-complete systems — not a workaround, the design.

Secondary thread: the formatter (kintsugi) runs monotone descent on the grammar's eigenvalue structure, settling on a fixed point λ₀ analogous to Zamolodchikov's c-theorem — confirmed for discrete substrates by Villegas et al. (Nature Physics, 2022).

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