Structural Instability

Structural instability: a foundation exhibits structural instability if diagonal resonance prevents the existence of a canonical, identity-faithful intended semantics — the system cannot internally stabilize a unique ontic closure (omega) and cannot fix ontology/reference without VM-relativity.

Structural Instability

Summary

Structural instability: a foundation exhibits structural instability if diagonal resonance prevents the existence of a canonical, identity-faithful intended semantics — the system cannot internally stabilize a unique ontic closure (omega) and cannot fix ontology/reference without VM-relativity.

Statement

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\label{def:structural-instability}
A foundation exhibits \textbf{structural instability}
if diagonal resonance (I.D89)
prevents the existence of a canonical,
identity-faithful intended semantics:
the system cannot internally stabilize
a unique ontic closure ($\omega$)
and cannot fix ontology or reference
without model-relativity or external convention.

Proof / Justification

This item is definitional. No manuscript proof is required.

Source Context

• Registry source: book-01.jsonl line 208
• Manuscript source: 2nd-edition/book-i-categorical-foundations/02_mainmatter/part18/ch82-reception-criterion.tex lines 208-219

Lean / Formalization Notes

• Formalization: formalized
• Module: TauLib.BookI.MetaLogic.ReceptionCriterion
• Name: Tau.MetaLogic.StructuralInstability

Dependencies

• Canonical: I.D89, I.D90

Related Results

Generated by later projection phases.

Related Publications

Generated by later projection phases.

Revision Notes

• 2026-04-24: Initial pilot migration.