governanceDesignCert
plain-language theorem explainer
The definition constructs a GovernanceDesignCert record by assigning cardinalities of canonical institutions, failure modes, and criteria drawn from upstream count theorems. Governance modelers working in the configDim framework would cite it to certify the five-institution pattern forced by D=5. The construction is a direct record literal that references the decide-proven cardinalities without additional reasoning steps.
Claim. Let GovernanceDesignCert be the structure asserting that the set of canonical institutions has cardinality 5, the set of institutional failure modes has cardinality 5, the set of governance criteria has cardinality 3, and the set of full governance assignments has cardinality 1.
background
The module states that configDim D=5 forces five canonical institutions (executive, legislative, judicial, military, press) matching classical democratic structures, with the added observation that no single institution satisfies all three binary governance criteria simultaneously. Upstream theorems supply the cardinalities: failureModeCount from Engineering, Governance, and Materials modules each prove the failure-mode set has size 5 by decide; institutionCount from InstitutionalFailureFromJCost proves five institutions; criterionCount proves three criteria described as binary conditions analogous to Arrow's.
proof idea
The definition is a record construction that directly assigns the five_institutions field to institutionCount, the five_failure_modes field to failureModeCount, the three_criteria field to criterionCount, and the unique_full_governance field to full_governance_unique.
why it matters
This definition certifies the governance structure derived from configDim D=5, closing the sociology module by confirming the five-institution and five-failure-mode counts. It supports the claim that governance follows the same dimensional forcing as physical systems, with D=5 here playing the role of the spatial dimension in the T8 step of the unified forcing chain. No downstream uses are recorded.
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