IndisputableMonolith.Governance.InstitutionalFailureFromJCost
The module asserts that each institution has exactly one failure mode under the Recognition Science governance model. Researchers modeling institutional stability from J-cost defects would cite this to link governance structures to the phi-ladder. The module imports the RS time quantum and organizes sibling definitions around this bijection without proofs.
claimEach institution has exactly one failure mode.
background
The module sits in the governance domain and imports the RS-native time quantum $\tau_0 = 1$ tick. It introduces GovernanceInstitution, FailureMode, and the bijection institution_failure_bijection that pairs each institution with its unique failure mode. The central claim follows directly from the J-cost framework applied to institutional counting.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the single-failure-mode claim that downstream governance certification objects rely on. It applies the J-uniqueness step (T5) of the forcing chain to institutional structures.
scope and limits
- Does not derive specific failure modes from J-cost values.
- Does not model interactions among multiple institutions.
- Does not quantify defectDist or rung positions on the phi-ladder.