1. Short Definition

High-Φ Legitimacy Requirement means that systems with high influence, performance, capability, or consequence require proportionally stronger auditability, boundaries, constraints, accountability, and restoration capacity.

High power requires high legitimacy architecture.

2. Canonical Pattern

Φ↑ ⇒ Π↑ + Σ↑ + Au↑ + R↑

Expanded:

Influence / capability / consequence↑
requires
constraint + stabilization + auditability + restoration↑
or legitimacy decays

Plain form:

The more consequence a system has, the more repairable, auditable, bounded, and accountable it must become.

3. Mechanic Description

SCALE-046 defines the legitimacy requirement for high-Φ systems.

In UTS, Φ represents success proxy, power, performance, capability, reach, leverage, or influence.

As Φ rises, the system affects more nodes and produces larger consequences.

Therefore the system must scale:

• auditability
• boundary clarity
• constraint quality
• restoration capacity
• accountability
• appeal access
• error correction
• transparency
• legitimacy
• repair pathways
• reversibility
• proportionality

High-Φ systems become illegitimate when they gain consequence without increasing the structures that make consequence trustworthy.

This is especially important for:

• AI systems
• courts
• governments
• platforms
• security systems
• financial institutions
• medical systems
• schools
• employers
• infrastructure providers
• large cultural institutions

A low-impact system can sometimes tolerate weaker legitimacy architecture.

A high-impact system cannot.

The scaling rule is proportionality: consequence must be matched by constraint and repair.

4. UTS Variable Mapping

5. Diagnostic Questions

1. What kind of Φ is increasing?
2. How many nodes are affected?
3. How large are the consequences of error?
4. Does auditability scale with consequence?
5. Are boundaries clear and enforceable?
6. Is there meaningful appeal or correction access?
7. Can affected nodes understand and contest decisions?
8. Is restoration capacity proportional to harm potential?
9. Is capability being treated as legitimacy?
10. Does the system remain legitimate under stress?

6. Failure Signatures

1. Power-Auditability Gap

Φ↑ while Au_eff not proportional

The system gains consequence faster than inspectability.

2. Consequence Without Repair

Φ↑ while R_eff insufficient

The system can create harm it cannot repair.

3. Boundary Overreach

Φ↑ + BΣ unclear ⇒ scope creep / capture risk↑

Influence expands beyond valid boundaries.

4. Appeal Failure

affected_node_cost↑ + appeal_access↓

Affected nodes cannot correct or contest high-impact decisions.

5. Capability-Legitimacy Substitution

capability↑ mistaken for legitimacy↑

The system treats power as permission.

7. Related Failure Modes

• high-Φ legitimacy decay
• capability-legitimacy substitution
• auditability gap
• boundary overreach
• appeal collapse
• restoration starvation
• platform capture
• AI governance failure
• institutional illegitimacy
• silent extraction
• pseudo-coherence

8. Related Diagnostics

9. Restoration Implications

If SCALE-046 is active, restoration requires proportional legitimacy architecture.

Required actions:

1. Identify the system’s actual Φ level.
2. Map affected nodes and consequence scale.
3. Increase auditability proportional to consequence.
4. Strengthen boundaries and scope limits.
5. Build or improve appeal pathways.
6. Increase restoration capacity.
7. Clarify accountability.
8. Reduce consequence where legitimacy architecture is insufficient.
9. Prevent capability from substituting for legitimacy.
10. Time-validate legitimacy under stress and error.

Core restoration rule:

High consequence requires high repairability.

10. Compact Registry Entry

id: SCALE-046
name: "High-Φ Legitimacy Requirement"
family: "SCALE-H — Power, Intention, and Legitimacy Mechanics"
type: "legitimacy-scaling-constraint"
status: "draft-ready"
short_definition: "Systems with high influence, performance, capability, or consequence require proportionally stronger auditability, boundaries, constraints, accountability, and restoration capacity."
canonical_pattern: "Φ↑ ⇒ Π↑ + Σ↑ + Au↑ + R↑"
failure_signature: "Influence/capability/consequence↑ without constraint + stabilization + auditability + restoration↑ ⇒ legitimacy decays"
primary_variables:
  - O
  - H
  - ε
  - ι
  - Au
  - µᵢ
  - BΣ
  - K
  - R
  - Φ
primary_diagnostics:
  - Φ_level
  - Au_eff
  - R_eff
  - BΣ
  - Π_strength
  - appeal_access_ratio
  - affected_node_cost
  - legitimacy_baseline
  - scope_creep_index
  - error_scale
related_failure_modes:
  - high_phi_legitimacy_decay
  - capability_legitimacy_substitution
  - auditability_gap
  - boundary_overreach
  - appeal_collapse
  - restoration_starvation
  - platform_capture
  - ai_governance_failure
  - institutional_illegitimacy
restoration_implication: "Scale auditability, boundaries, appeal access, accountability, and restoration capacity with consequence; reduce consequence where legitimacy architecture is insufficient."

11. One-Line Canon

The more consequence a system has, the more auditable, bounded, accountable, and repairable it must become.