C.29:4.2d - Architecture-local lens descriptions

Architecture work may use C.29-local descriptions for graph, flow, control, structural-information, RG or coarse-graining, and multilevel-learning or frustration lenses.

Local C.29 description	Candidate mathematical object	Visible payoff	Stop condition
`MLU.Description@ArchitectureGraphDSM`	typed graph, hypergraph, DSM, DMM, or MDM matrix	dependencies, clusters, change propagation, and bottlenecks	for semantic interface correctness, compositional quality, or an architecture decision, apply the pattern for that separate claim
`MLU.Description@TransformationFlowStructure`	graph, morphism-family, wiring, matrix, or network expression over a selected `TransformationFlowStructure`	flow topology, crossings, carried relations, and path slices without hidden scalarization	for a Work occurrence, gate decision, or evidence claim, apply its subject pattern
`MLU.Description@ArchitectureLCA`	layered control structure or multi-rate control model	planner, regulator, plant, observer, feedback timing, and externality separation	stability or causal-use questions require their dynamics, evidence, and `C.28` basis
`MLU.Description@EpiplexityStructuralInformation`	bounded-observer structural information or two-part code	learnable reusable structure versus residual or unmodeled structure	establish any utility, assurance, out-of-distribution guarantee, or causal-proof claim through its subject pattern
`MLU.Description@RGArchitecture`	scale map over architecture descriptions, fixed-point or basin metaphor, or declared coarse-graining map	scale-stability of an architecture vector and exploding exceptions	a literal physical-RG claim requires its domain theory
`MLU.Description@MultilevelLearningFrustration`	multilevel learning over structurally renormalizable descriptions, frustrated optimization landscape, or variational residual model	residual-reducing architecture moves across declared scopes or holon levels	a project-wide optimization claim requires a separately justified global function

MLU.Description@RGArchitecture applies only when the use names a declared aggregation scope, scale variable or scale window, coarse-graining rule, preserved structure, lost structure, source-return condition, declared use, and stop condition. Include a blocked overread only when it passes F.19’s plausible-reader test. If the claim becomes a scale-preference claim, C.31.ASAP governs the architecture preference side; C.29 keeps the declared mathematical-lens use.

Minimum RG architecture description:

MLU.Description@RGArchitecture:
  TargetPhenomenon:
  CandidateMathObject:
  LensMappingMode:
  ScaleWindow?:
  CoarseGrainingRule?:
  PreservedStructure:
  LostStructure:
  VisiblePayoff:
  SourceReturnCondition?:
  declaredLensUse:
  NextLensUseAction:
  StopCondition:
  blockedLensOverread?:

For architecture work, a common RG-shaped candidate object is:

A_l = (Holons_l, FunctionalRelations_l, FlowRelations_l, ControlRelations_l,
       ModuleRelations_l, InterfaceSpecificationRefs_l, DependencyEdges_l,
       WorkMethodRefs_l, EvidencePackageRefs_l, QualifierRefs_l)

R_l : A_l -> A_{l+1}

InterfaceSpecificationRefs_l contains only governed U.EpistemeRef values that resolve independently identified InterfaceSpecification epistemes under the identifying rule located at A.6.M. The references, their resolution, and the specification content remain separate; changing a lens token or retargeting a reference does not edit the specification.

The index _l is a declared aggregation-scope index inside this C.29 lens, not a generic level, tier, layer, or ladder. Each use names the aggregation scope, the coarse-graining rule, the lost structure, and the source-return condition.

MLU.Description@MultilevelLearningFrustration applies only when the use names declared holon levels or declared scopes, a mapping between them, conflicting constraints or residuals, preserved structure, lost structure, and the nearest neighboring FPF pattern for any measurement, causal, evidence, assurance, work, selected-set, or decision claim.

Minimum multilevel-learning and frustration description:

MLU.Description@MultilevelLearningFrustration:
  TargetPhenomenon:
  CandidateMathObject:
  LensMappingMode:
  PreservedStructure:
  LostStructure:
  VisiblePayoff:
  declaredLensUse:
  NextLensUseAction:
  SourceReturnCondition?:
  StopCondition:
  blockedLensOverread?:

Declared lens use: triage, explanation, candidate generation, rival-lens comparison, scale-window reasoning, source-return triggers, and architecture-decision rationale only when the neighboring pattern defines or constrains any non-C.29 claim. Stop or return when the mapping, scale window, preserved structure, or source basis no longer supports the use. A causal-proof, assurance-score, or necessary-complexity-growth claim needs its own argument and source basis. Apply C.11, C.28, B.3, C.16, G.5, or the applicable stakeholder or ethics pattern when its respective non-C.29 claim is current. Include a project-wide-optimizer or other blocked overread only when it passes F.19’s plausible-reader test.