Universal Theories

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1. Purpose

The Failure Mode Mapper identifies, classifies, and maps failure modes across a system.

It exists because systems often respond to visible symptoms without naming the actual failure mode, locating its origin layer, tracing its cascade, or connecting it to restoration.

A visible symptom may be:

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low trust
slow response
boundary leak
misclassification
repeated error
incoherent policy
resource depletion
appeal failure
security overreach
AI refusal drift
institutional legitimacy loss
user abandonment

But the underlying failure mode may be somewhere else entirely.

FMM asks:

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What failure mode is active, where did it originate, how is it propagating, and what restoration path does it require?

The Constructs & Operating Systems Registry identifies the Failure Mode Mapper as the construct used to classify active, latent, cascading, and recurrent failure modes and route them toward restoration.

2. Core Question

What failure mode is active or latent, where is its origin layer, how is it cascading, and what restoration arc must be activated?

Secondary questions:

Is the visible symptom the actual failure mode?
Is the failure active, latent, emerging, recurrent, or resolved?
Which U-layer did the failure originate in?
Which U-layers are affected downstream?
Which state variables are degrading?
Which operator failed, inverted, or over-applied?
Which diagnostic crossed threshold?
Which gate failed?
Is hidden debt accumulating?
Is recurrence present?
Are affected nodes carrying burden?
Is restoration capacity sufficient?
What restoration arc should be invoked?
Is ∅ required because the failure cannot yet be classified coherently?

3. Construct Class

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Field	Value
Construct Class	Failure Mode Diagnostic / Mapping Construct
Secondary Class	Origin-Layer / Cascade / Restoration Routing Construct
Operating System	No
Primary Module	Failure Modes / Restoration / Coherence
Related Modules	Security, AI Governance, Cybernetics, Institutions, Scaling, JGL

FMM is a diagnostic construct because it maps failure structure before restoration selection.

It does not merely name failures. It connects failures to:

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state variables
U-layers
operators
diagnostics
gates
affected nodes
cascade paths
recurrence patterns
restoration arcs
time validation

4. Core Failure Model

FMM distinguishes between:

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visible symptom
active failure mode
latent failure mode
origin-layer failure
cascade failure
recurrent failure
normalized failure
restoration failure

The core mapping pattern:

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symptom → failure mode → origin layer → cascade → restoration arc → time validation

Compressed:

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FMM = Ξ(failure) + Μ(cascade) + ℛ(route) + Τ(validate)

A failure mode is not complete until it has been routed to restoration and validated over time.

5. When to Use

Use the Failure Mode Mapper when a system is degrading, repeating errors, losing coherence, or producing symptoms that require classification.

Use FMM when:

a failure symptom is visible but cause is unclear
multiple failure modes may be active
repair attempts keep missing the root
a failure repeats after apparent fix
an institution, AI system, workflow, platform, or security regime is drifting
a boundary, classifier, delivery, damping, or restoration layer may have failed
affected nodes are carrying hidden burden
hidden debt is accumulating
a failure needs to be routed to a restoration arc
a failure may be active below visible behavior
a failure is being normalized
a system shows pseudo-coherence
an audit needs a structured failure map
recurrence must be tracked after repair

Do not use FMM as the primary construct when the central question is:

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If the question is...	Prefer...
Which restoration arc applies after failure is classified?	Restoration Arc Mapper
Where does coherence degrade across transmission?	CLSM
Which membrane failed first?	BDMT
Did the system settle after intervention?	RDE
What could go wrong before deployment?	Shadow Teaming
Which path may proceed?	Light Teaming
What security regime is active?	SRC
Does action pass constraints?	CCS / CAL

FMM maps the failure. RAM maps the restoration route.

6. Derivation

FMM is derived from a recurring UTS pattern:

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symptom appears
+ system repairs visible layer
+ origin failure remains active
+ symptom returns
= symptom-layer repair

A second pattern:

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failure is known
+ failure is not classified into family, layer, or gate
+ restoration is generic
= restoration mismatch

A third pattern:

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failure recurs
+ recurrence is treated as new incident
+ memory does not bind pattern
= recurrence without repair

FMM exists because restoration cannot be precise until failure is mapped.

Its core distinction is:

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naming a symptom is not mapping a failure

7. UTS Basis

FMM assembles the following UTS mechanics.

7.1 State Variables

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Variable	Role in FMM
O	Measures coherence loss and restoration trajectory.
H	Tracks hidden debt created by unresolved or misclassified failure.
ε	Tracks uncertainty in failure cause, layer, and diagnostic evidence.
ι	Detects inversion where system purpose or repair path becomes harmful.
Au	Measures traceability of failure, evidence, cause, and repair.
µᵢ	Preserves meaning and affected-node standing during classification.
BΣ	Tracks boundary, role, scope, and interface failures.
K	Tracks compatibility between failure type, context, and restoration path.
R	Measures restoration capacity required and available.
Φ	Tracks force, pressure, power, load, amplification, or control contributing to failure.

7.2 Primary U-Layer Pattern

FMM most commonly localizes through:

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U4 → U2 → U3 → U6 → U5 → U7

Meaning:

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failure classification
→ boundary / structure
→ runtime expression
→ coherence field effect
→ timing / cascade
→ recurrence memory

Failure mapping begins with classification, checks structural and runtime layers, evaluates field effects, maps cascade timing, and stores recurrence memory.

8. Inputs

8.1 Core Observational Inputs

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Input	Description
System under evaluation	AI system, institution, workflow, policy, platform, biological system, security regime, contract, or relationship.
Visible symptom	What is visibly wrong, degraded, delayed, repeated, missing, or distorted.
Suspected failure mode	Candidate failure name or family.
Active failure signals	Current evidence that failure is happening now.
Latent failure signals	Conditions that may activate under load or time.
Origin layer	U-layer where failure began or is most causally anchored.
Cascade path	Downstream path through which failure propagates.
Affected nodes	Nodes burdened, harmed, denied, misclassified, delayed, exposed, or destabilized.
Boundary condition	Status of scope, role, access, permission, consent, or separation.
Auditability condition	Whether failure evidence and causal chain can be traced.
Restoration gap	Missing or insufficient repair capacity.
Feedback behavior	Whether correction signals reach the system.
Recurrence history	Whether similar failures have occurred before.
Diagnostic evidence	Logs, observations, metrics, reports, artifacts, traces, symptoms, or narrative evidence.
Repair attempts	Prior interventions and their outcomes.

8.2 Diagnostic Inputs

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Diagnostic	What It Measures	Why It Matters
Failure Mode Density	Number of active or latent failures in a region	Indicates systemic stress.
Failure Mode Severity	Degree of potential or actual coherence loss	Guides priority.
Origin Layer	Where failure began	Prevents symptom-layer repair.
Cascade Risk	Likelihood failure spreads across layers	Determines containment.
Recurrence Risk	Likelihood failure repeats	Required for restoration validation.
Hidden Debt	Deferred burden from unresolved failure	Shows invisible cost.
Boundary Integrity	Whether boundaries failed or contributed	Common origin factor.
Effective Auditability	Whether failure evidence and causal chain are traceable	Required for confident classification.
Restoration Capacity	Whether repair can match failure	Determines routing.
Feedback Integrity	Whether correction returns to the system	Required for adaptation.
Damping	Whether failure settles after repair	Detects residual activation.
Affected Node Cost	Burden carried by nodes due to failure	Raises priority.
Time Validation	Whether repair holds over time	Required for completion.
Legibility	Whether failure is understandable to operators and affected nodes	Supports repair.
Inversion Risk	Whether function has become its opposite	Indicates high-priority failure.

9. Outputs

FMM produces failure classifications, cascade maps, and restoration routing outputs.

9.1 Failure Mode Classification

Possible outputs:

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Failure mode active
Failure mode latent
Failure mode emerging
Failure mode cascading
Failure mode recurrent
Failure mode normalized
Failure mode misclassified
Failure mode unresolved
Failure mode not yet classifiable

9.2 Failure Family Assessment

Possible outputs:

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Boundary failure
Classifier failure
Delivery failure
Timing failure
Damping failure
Auditability failure
Feedback failure
Restoration failure
Accountability failure
Security failure
Economic circulation failure
Contract validity failure
AI identity failure
Unknown / mixed failure family

9.3 Origin-Layer Assessment

Possible outputs:

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Origin layer identified
Origin layer likely
Origin layer unclear
Origin layer obscured
Multiple origin layers
Visible layer is downstream
Origin-layer repair required

9.4 Decision Outputs

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Output	Meaning
Map failure mode	Failure can be classified and mapped.
Classify active failure	Failure is currently operating.
Classify latent failure	Failure is not active but conditions are present.
Map cascade	Failure propagation must be traced.
Identify origin layer	Root U-layer must be located before repair.
Route to restoration arc	Failure should be sent to RAM or specific arc.
Increase auditability	Evidence is insufficient for confident mapping.
Contain cascade	Secondary failures must be stabilized.
Rerun diagnosis	Evidence or classification is insufficient.
Return ∅	No coherent failure classification exists under current observability.

10. Operating Logic

10.1 Basic Flow

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1. Identify system under evaluation.
2. Identify visible symptom.
3. Gather diagnostic evidence.
4. Identify suspected failure modes.
5. Distinguish active and latent signals.
6. Map affected nodes.
7. Check U-layer localization.
8. Identify origin layer.
9. Map cascade path.
10. Check boundary, auditability, feedback, and restoration status.
11. Check hidden debt and recurrence.
12. Classify failure mode and failure family.
13. Route to restoration arc or request deeper diagnosis.
14. Validate over time after repair.

10.2 Symptom / Failure Rule

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IF visible symptom is repaired
BUT recurrence continues,
THEN visible symptom was likely downstream.

IF failure evidence is insufficient,
THEN do not force classification.

IF origin layer is unclear,
THEN increase auditability or run deeper diagnosis.

IF restoration is selected before failure mapping,
THEN restoration mismatch risk is active.

10.3 Recurrence Rule

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A repeated failure should not be treated as a new isolated incident by default.

Recurrence indicates at least one of:

- origin-layer repair failed
- failure mode was misclassified
- restoration arc was mismatched
- feedback did not update the system
- damping was insufficient
- hidden debt remains active

11. Operators Used

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Operator	Role in FMM
Ξ — Classification	Classifies failure mode, family, severity, status, and origin layer.
Δ — Differentiation	Separates symptom from failure, active from latent, origin from cascade.
Μ — Mapping	Maps failure path, U-layer localization, affected nodes, and restoration requirements.
Π — Constraint / Scoping	Limits diagnosis to available evidence and prevents overclassification.
Λ — Compatibility	Tests fit between failure classification and restoration path.
⊗ — Coupling	Evaluates coupling, capture, dependency, and propagation pathways.
ℛ — Restoration	Routes failure toward appropriate restoration arc.
Σ — Integration / Coherence Binding	Integrates failure evidence into a coherent diagnosis.
Τ — Time Validation	Confirms failure reduction after repair.

12. Gates Required

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Gate	Required Condition	Failure Result
Failure Classification Gate	Evidence supports failure classification.	Rerun diagnosis or return ∅.
Origin-Layer Gate	Origin layer is identified or marked provisional.	Increase auditability before root repair.
Cascade Containment Gate	Cascading failures are stabilized during diagnosis.	Contain cascade before full repair.
Recurrence Detection Gate	Repeated patterns are identified and preserved in memory.	Restore recurrence tracking.
Au-Traceability	Evidence, causal chain, and repair attempts are traceable.	Auditability restoration required.
BΣ validity	Boundary conditions are clear enough to evaluate.	Boundary reconstitution required.
R sufficiency	Restoration capacity exists or required capacity is mapped.	Route to restoration capacity expansion.
FI-Gate	Feedback signals can update diagnosis and repair.	Feedback restoration required.
HR-Gate	High-impact failures receive proportional urgency and safeguards.	Escalate, contain, or constrain.
Τ validation	Repair reduces failure over time.	Keep failure status provisional.

13. Failure Modes Detected

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Failure Mode	Detection Signal
Boundary Collapse	Scope, role, access, consent, or separation fails.
Auditability Collapse	Failure cannot be traced or explained.
Restoration Lockout	No repair pathway exists after failure.
Feedback Break	Correction signals do not reach system update.
Hidden Debt Accumulation	Unresolved burden grows under visible function.
Pseudo-Coherence	System appears stable while failure remains active.
Inversion Failure	Function becomes its opposite under pressure.
Cascade Failure	One failure triggers multiple downstream failures.
Recurrence Without Repair	Same pattern returns after intervention.
Origin-Layer Obscuration	Root layer is hidden by downstream symptoms.
Symptom-Layer Repair	Visible symptom is repaired instead of origin.
Failure Mode Misclassification	Wrong failure family is selected.
Failure Mode Normalization	Failure becomes accepted as normal operating cost.
Failure Discovery Without Restoration	Failure is known but not routed to repair.

14. Restoration Links

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Restoration Arc	When Activated
Origin-Layer Repair	Failure originates below visible symptom.
Boundary Reconstitution	Boundary failure is active or contributing.
Auditability Restoration	Evidence or causal chain cannot be traced.
Feedback Restoration	Correction signals cannot update system behavior.
Runtime Restoration Provisioning	Repair must become available during operation.
Cascade Containment	Failure is spreading across layers.
Recurrence Reduction	Failure repeats after intervention.
Damping Restoration	System does not settle after repair.
Recognition Restoration	Affected-node standing or meaning is lost.
Justice-Aligned Repair	Failure imposes burden under asymmetry.
Compatibility Recoupling	Repair must be refit to context and node capacity.

15. U-Layer Localization

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U-Layer	Relevance
U0 — Substrate	Physical, biological, technical, legal, computational, or material substrate failure.
U1 — Power / Budgets	Resource, authority, staffing, compute, funding, or force conditions contributing to failure.
U2 — Configuration / Boundaries	Scope, role, access, consent, permission, interface, or pathway boundaries.
U3 — Execution / Runtime	Visible behavior, process execution, tool action, delivery, routing, or runtime failure.
U4 — Classification / Metrics	Failure labels, risk classes, severity, eligibility, signals, metrics, and diagnostic categories.
U5 — Coordination / Time	Timing, delay, cascade sequencing, recurrence windows, and repair cadence.
U6 — Coherence Field	Trust, legitimacy, meaning, recognition, confidence, and affected-node standing.
U7 — Memory / Recurrence	Prior failures, repeated patterns, failure registries, repair attempts, and recurrence learning.
U8 — Environment / Forcing	Adversarial pressure, market pressure, crisis, scarcity, regulation, conflict, or environmental load.

FMM most commonly localizes through:

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U4 → U2 → U3 → U6 → U5 → U7

This means failure mapping begins in classification, checks boundary and runtime expression, evaluates coherence field effects, maps cascade timing, and stores recurrence learning.

16. Example Use Case

Scenario

An AI support system repeatedly gives users generic answers even after users provide detailed corrections.

The visible symptom is poor answer quality.

FMM Evaluation

The construct checks:

visible symptom
active failure signals
affected nodes
boundary condition
auditability
feedback behavior
recurrence
restoration gap
origin layer

Likely Findings

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Visible symptom: generic answers
Failure family: feedback / classifier failure
Origin layer: U4 classification + U7 memory / recurrence
Cascade path: user correction ignored → repeated generic output → user burden → trust loss
Restoration gap: feedback restoration + memory update pathway
Recurrence risk: high

Recommended Output

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Do not classify this only as answer quality failure.
Map it as feedback failure plus classifier underfitting.
Restore feedback-to-update pathway.
Repair memory / recurrence handling.
Track recurrence by case family.
Validate over future interactions.

Interpretation

The symptom is weak output, but the failure mode is deeper: correction does not alter future classification or response.

FMM maps the failure before RAM selects restoration.

17. Anti-Patterns

Do not use FMM to:

equate symptom with failure mode
force classification without evidence
repair before mapping
ignore affected-node burden
ignore recurrence
ignore hidden debt
treat repeated failures as isolated incidents
over-focus on runtime when origin is boundary or classification
classify failure without U-layer localization
skip restoration routing
treat failure discovery as completion
normalize failure because it is common
ignore failed prior repairs
claim resolution without time validation

18. Completion Criteria

An FMM assessment is complete when:

system under evaluation is identified
visible symptom is identified
diagnostic evidence is gathered
suspected failure modes are listed
active and latent signals are distinguished
affected nodes are mapped
U-layer localization is checked
origin layer is identified or marked provisional
cascade path is mapped
boundary, auditability, feedback, and restoration status are checked
hidden debt and recurrence are assessed
failure mode and family are classified
restoration arc routing is recommended
deeper diagnosis or ∅ is returned if classification is not coherent
time validation is defined after repair

19. Machine-Readable Summary

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construct_id: "CONSTRUCT-038"
title: "Failure Mode Mapper"
abbreviation: "FMM"
type: "construct"
status: "draft-integrated"
construct_class: "Failure Mode Diagnostic / Mapping Construct"
operating_system: false
primary_module: "Failure Modes / Restoration / Coherence"
related_modules:
  - "Security"
  - "AI Governance"
  - "Cybernetics"
  - "Institutions"
  - "Scaling"
  - "Justice · Governance · Legitimacy"

core_question: "What failure mode is active or latent, where is its origin layer, how is it cascading, and what restoration arc must be activated?"

definition: "The Failure Mode Mapper maps active, latent, cascading, recurrent, and origin-layer failure modes across UTS state variables, U-layers, operators, diagnostics, gates, and restoration requirements."

core_distinction: "naming a symptom is not mapping a failure"

core_pattern: "symptom → failure mode → origin layer → cascade → restoration arc → time validation"

compressed_form: "FMM = Ξ(failure) + Μ(cascade) + ℛ(route) + Τ(validate)"

inputs:
  state_variables:
    - "O"
    - "H"
    - "ε"
    - "ι"
    - "Au"
    - "µᵢ"
    - "BΣ"
    - "K"
    - "R"
    - "Φ"
  diagnostics:
    - "Failure Mode Density"
    - "Failure Mode Severity"
    - "Origin Layer"
    - "Cascade Risk"
    - "Recurrence Risk"
    - "Hidden Debt"
    - "Boundary Integrity"
    - "Effective Auditability"
    - "Restoration Capacity"
    - "Feedback Integrity"
    - "Damping"
    - "Affected Node Cost"
    - "Time Validation"
    - "Legibility"
    - "Inversion Risk"
  gates:
    - "Failure Classification Gate"
    - "Origin-Layer Gate"
    - "Cascade Containment Gate"
    - "Recurrence Detection Gate"
    - "Au-Traceability"
    - "BΣ validity"
    - "R sufficiency"
    - "FI-Gate"
    - "HR-Gate"
    - "Τ validation"
  observations:
    - "system under evaluation"
    - "visible symptom"
    - "suspected failure mode"
    - "active failure signals"
    - "latent failure signals"
    - "origin layer"
    - "cascade path"
    - "affected nodes"
    - "boundary condition"
    - "auditability condition"
    - "restoration gap"
    - "feedback behavior"
    - "recurrence history"
    - "diagnostic evidence"
    - "repair attempts"

outputs:
  assessments:
    - "failure mode classification"
    - "failure mode family"
    - "active / latent status"
    - "origin-layer status"
    - "cascade status"
    - "recurrence status"
    - "severity class"
    - "restoration requirement"
    - "affected-node burden"
    - "time-validation requirement"
  decisions:
    - "map failure mode"
    - "classify active failure"
    - "classify latent failure"
    - "map cascade"
    - "identify origin layer"
    - "route to restoration arc"
    - "increase auditability"
    - "contain cascade"
    - "rerun diagnosis"
    - "return ∅"
  maps:
    - "failure mode map"
    - "failure family map"
    - "origin-layer map"
    - "cascade map"
    - "recurrence map"
    - "affected-node burden map"
    - "diagnostic evidence map"
    - "restoration requirement map"
    - "time-validation map"

dependencies:
  operators:
    - "Ξ"
    - "Δ"
    - "Μ"
    - "Π"
    - "Λ"
    - "⊗"
    - "ℛ"
    - "Σ"
    - "Τ"
  failure_modes:
    - "Boundary Collapse"
    - "Auditability Collapse"
    - "Restoration Lockout"
    - "Feedback Break"
    - "Hidden Debt Accumulation"
    - "Pseudo-Coherence"
    - "Inversion Failure"
    - "Cascade Failure"
    - "Recurrence Without Repair"
    - "Origin-Layer Obscuration"
    - "Symptom-Layer Repair"
    - "Failure Mode Misclassification"
    - "Failure Mode Normalization"
    - "Failure Discovery Without Restoration"
  restoration_arcs:
    - "Origin-Layer Repair"
    - "Boundary Reconstitution"
    - "Auditability Restoration"
    - "Feedback Restoration"
    - "Runtime Restoration Provisioning"
    - "Cascade Containment"
    - "Recurrence Reduction"
    - "Damping Restoration"
    - "Recognition Restoration"
    - "Justice-Aligned Repair"
    - "Compatibility Recoupling"

u_layers:
  primary:
    - "U2"
    - "U3"
    - "U4"
    - "U5"
    - "U6"
    - "U7"
  secondary:
    - "U0"
    - "U1"
    - "U8"

null_outcome_allowed: true
symptom_is_not_failure_mode: true
failure_mapping_precedes_restoration_selection: true

20. Citation

Citation ID: construct-failure-mode-mapper-v1-0

Recommended citation:

Universal Theory Stack. “CONSTRUCT-038 — Failure Mode Mapper.” UTS Constructs Registry, Version 1.0.0, 2026.

21. Summary

The Failure Mode Mapper classifies active, latent, cascading, recurrent, and origin-layer failures.

Its core distinction is:

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naming a symptom is not mapping a failure

FMM maps visible symptoms, failure families, origin layers, cascade paths, affected-node burden, hidden debt, auditability, feedback behavior, recurrence, restoration gaps, and time-validation requirements.

Its core logic is:

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Restoration cannot be precise until the failure mode, origin layer, and cascade path are mapped.

When evidence is insufficient, origin layer is obscured, or classification would be forced, FMM recommends deeper diagnosis, auditability restoration, cascade containment, provisional classification, or:

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∅

FMM gives UTS a structured bridge between observed incoherence and restoration routing.

CONSTRUCT-037 — Contract Validity Checker

Registry Tool Spec

CONSTRUCT-039 — Restoration Arc Mapper