1. Short Definition

Local-Global Divergence occurs when local coherence, success, order, or stability does not preserve whole-system coherence.

A part can make sense locally while the larger system fails.

2. Canonical Pattern

O_local↑ while O_global↓ ⇒ scale-visibility failure

Expanded:

local coherence / performance / stability
+
global hidden debt / burden / incoherence
⇒ cross-scale divergence

Plain form:

Local sensemaking may be real while cross-scale coherence is failing.

3. Mechanic Description

SCALE-038 refines the pseudo-coherent basin framework by separating local coherence from global coherence.

A subsystem can be genuinely coherent within its local frame:

• a team may work well internally
• a model may optimize its benchmark
• a company may serve its customers
• a department may meet its mandate
• a biological subsystem may stabilize itself
• a local community may preserve internal order
• a security process may reduce local incidents
• an economic unit may generate profit

Yet the local success may still contribute to global incoherence if it:

• exports hidden debt
• shifts burden downstream
• suppresses cross-scale feedback
• optimizes a proxy
• damages shared boundaries
• increases long-term fragility
• undermines global restoration
• preserves local order at global cost

This rule prevents both simplistic blame and simplistic innocence.

The local system may not be fake.

It may be locally coherent.

The issue is that local coherence is not sufficient proof of whole-system coherence.

Scaling requires cross-scale validation.

4. UTS Variable Mapping

5. Diagnostic Questions

1. What is coherent locally?
2. What is happening globally?
3. Is local success exporting hidden debt?
4. Are downstream or peripheral nodes absorbing cost?
5. Are global recurrence patterns improving or worsening?
6. Is local repair reducing whole-system debt?
7. Is cross-scale auditability available?
8. Are local metrics being used as proof of global coherence?
9. What happens if exported costs are internalized?
10. Does local success preserve or degrade the larger field?

6. Failure Signatures

1. Local Success, Global Decline

O_local↑ + O_global↓

The local system improves while the whole system degrades.

2. Local Repair, Global Recurrence

R_local↑ while τ_m_global↑

Local repair does not reduce global recurrence.

3. Proxy Localization

Φ_local↑ mistaken for O_global↑

Local performance is used as proof of global coherence.

4. Burden Export

local stability + downstream burden↑

Local order depends on externalized cost.

5. Cross-Scale Audit Failure

Au_local↑ while Au_cross_scale↓

The local system is inspectable, but its larger effects are not.

7. Related Failure Modes

• local-global divergence
• pseudo-coherence
• hidden debt export
• local optimization failure
• burden asymmetry
• cross-scale audit failure
• metric localization
• downstream repair overload
• silent extraction
• basin entrapment
• legitimacy decay

8. Related Diagnostics

9. Restoration Implications

If SCALE-038 is active, restoration requires cross-scale reconciliation.

Required actions:

1. Preserve valid local coherence where it exists.
2. Stop treating local success as sufficient proof.
3. Map exported burden.
4. Restore cross-scale auditability.
5. Compare local and global recurrence.
6. Internalize costs where appropriate.
7. Align local metrics with whole-system coherence.
8. Protect downstream nodes.
9. Redesign local incentives that degrade global coherence.
10. Validate restoration at multiple scales.

Core restoration rule:

Local coherence must be cross-scale validated.

10. Compact Registry Entry

id: SCALE-038
name: "Local-Global Divergence"
family: "SCALE-G — Basin and Attractor Mechanics"
type: "cross-scale-coherence-mechanic"
status: "draft-ready"
short_definition: "Local-Global Divergence occurs when local coherence, success, order, or stability does not preserve whole-system coherence."
canonical_pattern: "O_local↑ while O_global↓ ⇒ scale-visibility failure"
failure_signature: "local coherence/performance/stability + global hidden debt/burden/incoherence ⇒ cross-scale divergence"
primary_variables:
  - O
  - H
  - ε
  - ι
  - Au
  - µᵢ
  - BΣ
  - K
  - R
  - Φ
primary_diagnostics:
  - O_local
  - O_global
  - Φ_local
  - H_export
  - Au_local
  - Au_cross_scale
  - τ_m_global
  - R_local
  - R_global
  - affected_node_cost
related_failure_modes:
  - local_global_divergence
  - pseudo_coherence
  - hidden_debt_export
  - local_optimization_failure
  - burden_asymmetry
  - cross_scale_audit_failure
  - metric_localization
  - downstream_repair_overload
  - silent_extraction
restoration_implication: "Preserve valid local coherence while restoring cross-scale auditability, mapping exported burden, aligning local metrics with global coherence, and validating restoration across scales."

11. One-Line Canon

Local coherence is real but insufficient unless it preserves coherence across scale.