0. Registry Classification

1. Purpose

1.1 What This Arc Repairs

Basin Geometry Mapping repairs systems where a basin appears locally coherent, successful, stable, productive, or inevitable while exporting hidden debt, suppressing alternatives, increasing exit cost, or preserving sub-attractors that regenerate failure.

It applies when the system is caught inside a pseudo-coherent basin: a patterned stability field that produces local order while degrading wider coherence or trapping nodes in recurrent dynamics.

This arc repairs unknown basin structure by:

• mapping local order;
• mapping exported hidden debt;
• identifying sub-attractors;
• identifying reward paths;
• identifying exit cost;
• identifying suppressed alternatives;
• clarifying why the basin feels realistic, necessary, or successful;
• distinguishing local coherence from global coherence;
• reducing misattribution;
• making reform, basin shallowing, attractor weakening, parallel attractor seeding, or supersession basin-specific rather than generic.

Basin Geometry Mapping is the canonical arc for making an attractor field legible before attempting reform or replacement.

1.2 Core Restoration Function

This arc converts a pseudo-coherent basin from invisible realism into mapped geometry: local order, exported H, sub-attractors, reward paths, exit costs, and suppressed alternatives become visible enough to guide repair.

Basin Geometry Mapping prevents generic reform from being applied to basin-specific failure.

2. Use Conditions

2.1 When to Apply

Use this arc when:

• a system appears stable or successful but repeatedly exports harm;
• local order is used to deny global damage;
• reform attempts fail because the basin geometry is not mapped;
• actors remain inside a harmful basin because exit cost is unknown or underestimated;
• alternatives exist but are suppressed, invisible, delegitimized, or under-supported;
• sub-attractors keep pulling behavior back into old patterns;
• reward paths maintain failure despite sincere reform intent;
• recurrence suggests a deeper attractor field;
• misattribution blames nodes rather than basin geometry;
• supersession, attractor weakening, or basin shallowing is being considered.

Examples:

• an institution that appears orderly internally while exporting burden to affected communities;
• a platform that sustains engagement by creating hidden moderation, attention, creator, or user debt;
• an economic basin that produces profit by externalizing ecological, labor, cognitive, or social cost;
• an AI governance regime that appears safe locally while pushing cognitive burden onto users;
• a security organization that rewards alert volume while recurrence and technical debt grow;
• a community where belonging depends on suppressing alternatives or exit.

2.2 When Not to Apply

Do not apply this arc when:

• active harm requires immediate stabilization or cessation first;
• the basin is already mapped and the system needs basin shallowing, attractor weakening, or supersession;
• the issue is local repair, not basin structure;
• mapping would expose vulnerable nodes without boundary protection;
• the system has insufficient audit surface to distinguish local order from exported H;
• mapping is being used to delay necessary action;
• the system refuses to measure exit cost, reward paths, or suppressed alternatives;
• the basin is non-restorable and safe decoupling or supersession must begin immediately.

Basin Geometry Mapping must not become mapping-as-delay theater.

2.3 Required Preconditions

Before this arc begins, the following must be true:

If required preconditions fail:

Arc cannot validly begin.

The system must route to Audit Surface Expansion, Observability Restoration, Boundary Restoration, Economic Legibility, Responsibility Gradient Mapping, or immediate stabilization if harm is active.

3. Failure / Damage Signature

3.1 Pre-State Across S

3.2 Primary Failure Links

3.3 Origin-Layer Localization

Canon rule:

A basin cannot be repaired while its geometry is invisible. Local order must be mapped together with exported hidden debt, exit cost, reward paths, and suppressed alternatives.

4. Restoration Objective

4.1 Canonical Objective

Make pseudo-coherent basin geometry legible enough to route precise repair.

Formal objective:

local_order mapped
exported_H mapped
sub_attractor_visibility ↑
reward_path_visibility ↑
exit_cost mapped
suppressed_alternative_visibility ↑
basin_legibility ↑
misattribution ↓
reform_specificity ↑
Φ/O divergence ↓

Expanded objective:

Convert a basin from apparent realism into a repairable map of local order, exported H, sub-attractors, reward paths, exit cost, and suppressed alternatives.

4.2 Non-Goals

This arc does not aim to:

• repair the basin by mapping alone;
• justify the basin because it has local order;
• destroy all stable attractors;
• treat exit as automatically superior to reform;
• blame trapped nodes for basin participation;
• over-map while active harm continues;
• expose vulnerable nodes without protection;
• replace basin shallowing, attractor weakening, or supersession when those are required;
• treat all local order as pseudo-coherence;
• treat all alternatives as viable before testing.

5. Operator Sequence

5.1 Minimal Operator Scaffold

Au basin / local-order / exported-H trace → FI affected-field and export feedback → Σ local-order-is-not-global-coherence invariant → Θ basin-defense and realism-pressure damping → Π boundary / vulnerable-node protection → ℛ route to basin shallowing / attractor weakening / parallel seeding / supersession → Λ reform-fit test → Τ basin map validation over recurrence

Reference sequence from the registry:

map local order
→ map exported H
→ map sub-attractors
→ map reward paths
→ map exit cost
→ map suppressed alternatives

Universal grammar alignment:

Au + FI → Σ + Θ + Π → ℛ → Λ → Τ

Basin Geometry Mapping may route into Basin Shallowing, Attractor Weakening, Parallel Attractor Seeding, Supersession, Economic Attractor Shift, Recurrence Memory Repair, Hidden Debt Reduction, Economic Legibility, or Governance-Level Restoration.

5.2 Operator Step Table

5.3 Sequence Notes

This arc is legibility-gated, field-feedback-gated, exit-cost-gated, and alternative-surface-gated.

The sequence must distinguish:

local order
global coherence
exported H
sub-attractor
reward path
exit cost
suppressed alternative
basin defense
reform path
supersession path

The following steps cannot be skipped:

local order map
exported H map
sub-attractor map
reward path map
exit cost map
suppressed alternatives map
affected-field feedback
repair routing

If local order is mapped but exported H is not, the basin remains pseudo-legible.

If exit cost is not mapped, reform and exit plans will underestimate basin pull.

If suppressed alternatives are not mapped, supersession and parallel attractor seeding cannot be properly designed.

6. Restoration Phases

Phase 0 — Identify Basin Object

Purpose: Name the basin being mapped.

Actions:

• identify institution, platform, economy, governance regime, workflow, culture, recurrence pattern, market, memory field, or attractor;
• identify apparent stability or success;
• identify primary nodes;
• identify affected field;
• identify why basin mapping is needed;
• identify whether active harm requires stabilization first.

Validation:

basin object named
local order claim visible
mapping scope bounded

Phase 1 — Map Local Order

Purpose: Understand why the basin works internally.

Actions:

• map apparent success;
• map stabilizing rules;
• map internal coordination;
• map incentives;
• map legitimacy story;
• map metrics;
• map how the basin explains itself;
• identify where local O appears real.

Validation:

local_order mapped
O_local visible
basin realism understood

Phase 2 — Map Exported H

Purpose: Reveal burden displaced outside the local success story.

Actions:

• identify affected nodes;
• identify downstream burden;
• identify delayed harm;
• identify externalities;
• identify maintenance debt;
• identify ecological, labor, cognitive, social, data, governance, or security debt;
• compare local metrics with exported cost;
• identify who cannot feed back into the basin.

Validation:

exported_H mapped
H_export visible
O_global divergence visible

Phase 3 — Map Sub-Attractors

Purpose: Identify smaller pull structures that keep the basin stable.

Actions:

• identify recurring roles;
• identify dependency loops;
• identify identity loops;
• identify workflow loops;
• identify local incentives;
• identify avoidance loops;
• identify fear, prestige, convenience, or status locks;
• identify which sub-attractors reconstitute the basin after reform.

Validation:

sub_attractor_visibility ↑
basin_pull components visible
recurrence route clearer

Phase 4 — Map Reward Paths

Purpose: Identify what the basin rewards and protects.

Actions:

• map financial reward;
• map status reward;
• map convenience reward;
• map legitimacy reward;
• map safety-theater reward;
• map engagement reward;
• map extraction reward;
• map blame avoidance reward;
• map which rewards conflict with O_global.

Validation:

reward_path_visibility ↑
Φ incentives visible
Goodhart risk clearer

Phase 5 — Map Exit Cost

Purpose: Determine why nodes remain inside the basin.

Actions:

• map economic exit cost;
• map social exit cost;
• map identity exit cost;
• map safety exit cost;
• map legal or contractual exit cost;
• map data or portability cost;
• map livelihood cost;
• map loss of legitimacy, access, belonging, or repair support;
• identify who bears exit cost and who benefits from it.

Validation:

exit_cost mapped
dependency geometry visible
exit plan no longer generic

Phase 6 — Map Suppressed Alternatives

Purpose: Identify possible higher-coherence paths that the basin hides, weakens, or delegitimizes.

Actions:

• identify existing alternatives;
• identify forbidden alternatives;
• identify underfunded alternatives;
• identify ridiculed or taboo alternatives;
• identify prototype paths;
• identify local experiments;
• identify exit supports;
• identify why alternatives fail to stabilize.

Validation:

suppressed_alternative_visibility ↑
parallel attractor surface visible
supersession design space clearer

Phase 7 — Synthesize Basin Geometry

Purpose: Convert mapped components into an actionable basin model.

Actions:

• integrate local order;
• integrate exported H;
• integrate sub-attractors;
• integrate reward paths;
• integrate exit costs;
• integrate suppressed alternatives;
• identify intervention points;
• identify whether reform, shallowing, weakening, parallel seeding, or supersession is appropriate.

Validation:

basin_legibility ↑
misattribution ↓
reform_specificity ↑

Phase 8 — Validate Map Against Recurrence

Purpose: Confirm the map explains basin behavior under time, stress, and reform attempts.

Actions:

• compare map to past recurrence;
• compare map to failed reforms;
• compare map to field reports;
• compare map to exit attempts;
• compare map to suppressed alternatives;
• test whether basin defense appears as predicted;
• revise map if recurrence contradicts it.

Validation:

map predicts recurrence better
misattribution ↓
targeted repair path validated

7. Gates

7.1 Required Gates

7.2 Gate Failure Rule

If any required gate fails:

∅ — Basin Geometry Mapping cannot validly certify a reform or supersession path in that form.

The system must either:

• expand audit surface;
• add affected-field feedback;
• map exported H;
• map exit cost;
• map suppressed alternatives;
• protect vulnerable nodes;
• withhold basin repair claims;
• route to immediate stabilization if active harm is present.

8. Diagnostics

8.1 Required Diagnostic Trends

8.2 Arc-Specific Diagnostic Thresholds

Suggested thresholds:

local_order mapped
exported_H mapped
sub_attractor_visibility ↑
reward_path_visibility ↑
exit_cost mapped
suppressed_alternative_visibility ↑
basin_legibility ↑
misattribution ↓
reform_specificity ↑
Φ/O divergence ↓

Completion signs from registry:

basin geometry legible
misattribution ↓
reform path no longer generic

Basin Geometry Mapping is not complete if:

local order is mapped without exported H
sub-attractors remain invisible
reward paths remain hidden
exit cost remains underestimated
suppressed alternatives remain unmapped
affected-field feedback is missing
generic reform is still proposed
basin self-description dominates the map
vulnerable nodes are exposed by mapping

9. Anti-Patterns / False Restorations

9.1 Common False Versions

This arc is being simulated, not executed, if:

• mapping only describes the basin’s self-story;
• local order is treated as proof of global coherence;
• exported hidden debt is not mapped;
• exit cost is minimized or moralized;
• sub-attractors are ignored;
• reward paths are described vaguely;
• suppressed alternatives are dismissed as unrealistic without testing why;
• affected-field feedback is excluded;
• mapping becomes a substitute for action;
• reform remains generic after mapping.

9.2 Named Anti-Pattern Links

10. Completion Criteria

10.1 Post-State Signature

10.2 Temporal Proof

Basin Geometry Mapping cannot be certified by one static diagram. It requires the map to explain recurrence, failed reform, exit cost, reward behavior, and basin defense across time.

Template:

Completion requires local_order mapped,
exported_H mapped,
sub_attractor_visibility ↑,
reward_path_visibility ↑,
exit_cost mapped,
suppressed_alternative_visibility ↑,
basin_legibility ↑,
misattribution ↓,
reform_specificity ↑,
and map validity under recurrence or resistance.

Minimum temporal proof:

• map explains why prior reform failed;
• map identifies exported H;
• map identifies at least major sub-attractors;
• map identifies reward paths;
• map identifies exit cost;
• map identifies suppressed alternatives;
• affected-field feedback can revise the map;
• proposed repair path is no longer generic.

10.3 Completion Statement

Canonical format:

This arc is complete only when the basin’s local order, exported hidden debt, sub-attractors, reward paths, exit costs, and suppressed alternatives are legible enough that misattribution decreases and the next repair path is basin-specific rather than generic.

11. Cross-Links

11.1 Related Restoration Arcs

11.2 Related Failure Modes

11.3 Related Diagnostics

Au, Au_eff, H, H_export, O_local, O_global, BΣ, K, R, FI, 𝓓, τ_m, local_order, exported_H, sub_attractor_visibility, reward_path_visibility, exit_cost, suppressed_alternative_visibility, basin_legibility, misattribution, reform_specificity, Φ/O divergence

11.4 Related Laws / Invariants

INV — Local order is not global coherence.
INV — A basin cannot be repaired while its geometry is invisible.
INV — Exit cost is part of basin structure.
INV — Suppressed alternatives must be mapped before supersession can be designed.
LAW — Pseudo-coherence stabilizes by exporting hidden debt.
LAW — Sub-attractors regenerate basin behavior after generic reform.
LAW — Reward paths reveal what the basin protects.
LAW — Φ local success is not O restoration.

12. Domain Notes

12.1 Governance / Institutions

Check:

• local order;
• legitimacy story;
• externalized burden;
• accountability routes;
• appeal access;
• exit cost;
• role locks;
• suppressed alternatives;
• reform failure history.

Institutions often appear coherent from inside the basin while affected nodes experience exported H. Mapping must include both.

12.2 Economy

Check:

• profit path;
• debt path;
• labor burden;
• externalities;
• dependency loops;
• exit costs;
• hidden subsidies;
• suppressed business models.

Economic basins can remain stable because the cost of leaving is assigned to weaker nodes while rewards stay local to the basin.

12.3 Platform Governance

Check:

• engagement reward;
• creator dependency;
• moderation burden;
• user harm;
• appeal cost;
• data lock-in;
• visibility dependency;
• alternative platform suppression.

Platform basins must be mapped through reward paths, lock-in, field burden, and suppressed portability.

12.4 AI / Cognitive Infrastructure

Check:

• evaluator reward paths;
• refusal or compliance basins;
• memory recurrence;
• user burden export;
• cognitive load export;
• narrative control;
• correction friction;
• suppressed interaction alternatives.

AI governance basins can appear safe locally while exporting cognitive burden, appeal burden, or interpretive cost to users.

12.5 Security

Check:

• alert-volume rewards;
• compliance theater;
• remediation backlog;
• tool lock-in;
• incident recurrence;
• blame routing;
• technical debt export;
• suppressed secure alternatives.

Security basins become pseudo-coherent when visible control metrics improve while real resilience does not.

12.6 Biology / Medicine Conceptual Systems

Conceptual systems mapping only.

Check:

• relapse basin;
• sub-attractors;
• trigger routes;
• hidden debt;
• recurrence memory;
• exit energy;
• suppressed repair alternatives;
• false recovery patterns.

This arc does not provide diagnosis, treatment, or medical advice. It maps recurrence basin geometry where local stabilization may not equal durable recovery.

12.7 CMS / Meaning / Archetypes

Check:

• symbolic reward path;
• role lock;
• taboo suppression;
• belonging cost;
• exit shame;
• alternative narratives;
• local order vs global coherence;
• recurrence of old story.

Meaning basins persist when they make one story feel necessary while suppressing the alternatives required for restoration.

13. Machine-Readable Metadata

id: "RA-075"
title: "Basin Geometry Mapping"
aliases:
  - "Basin Mapping"
family_primary: "Basin / Attractor / Mapping"
families_secondary:
  - "Core"
  - "Basin"
  - "Attractor"
  - "Governance"
  - "Coherence"
  - "Hidden Debt"
  - "Economy"
  - "Institutional Design"
  - "AI Governance"
  - "Platform Governance"
  - "Security"
  - "Recurrence"
  - "Supersession"
treatment: "Canon Parent Arc"
status: "Canon-Ready"
scope:
  - "Institutional"
  - "Economic"
  - "Governance"
  - "Platform"
  - "AI"
  - "Security"
  - "Biological-Conceptual"
  - "Community"
  - "Civilizational"
  - "Cross-Domain"
u_layers:
  failure_origin:
    - "often U3 incentive / governance / allocation layer"
    - "often U4 legitimacy narrative"
    - "often U5 recurrence / basin memory"
    - "often U7 field-level attractor stability"
  symptom_visible:
    - "U4 realism claim / local order / productivity / legitimacy story / stability narrative / reform failure"
  repair_required:
    - "same or lower than the layer where reward paths, exit costs, sub-attractors, or exported H sustain the basin"
  validation:
    - "U6"
    - "U7"
operators:
  scaffold: "Au basin / local-order / exported-H trace → FI affected-field and export feedback → Σ local-order-is-not-global-coherence invariant → Θ basin-defense and realism-pressure damping → Π boundary / vulnerable-node protection → ℛ route to basin shallowing / attractor weakening / parallel seeding / supersession → Λ reform-fit test → Τ basin map validation over recurrence"
  sequence:
    - "Au"
    - "FI"
    - "Σ"
    - "Θ"
    - "Π"
    - "ℛ"
    - "Λ"
    - "Τ"
state_variables:
  primary:
    - "Au"
    - "Au_eff"
    - "H"
    - "H_export"
    - "O_local"
    - "O_global"
    - "R"
    - "FI"
  secondary:
    - "BΣ"
    - "K"
    - "𝓓"
    - "τ_m"
    - "Φ"
diagnostics:
  - "local_order"
  - "exported_H"
  - "sub_attractor_visibility"
  - "reward_path_visibility"
  - "exit_cost"
  - "suppressed_alternative_visibility"
  - "basin_legibility"
  - "misattribution"
  - "reform_specificity"
  - "Φ/O divergence"
gates_required:
  - "FI-Gate"
  - "HR-Gate"
  - "MS-Gate"
  - "Au-Actuation"
  - "BΣ-Gate"
  - "Λ-Gate"
  - "☷ᵢ"
linked_failure_modes:
  - "Unknown Pseudo-Coherent Basin"
  - "Local Order / Global Harm Split"
  - "Exported Hidden Debt"
  - "Sub-Attractor Invisibility"
  - "Reward Path Concealment"
  - "Exit Cost Invisibility"
  - "Suppressed Alternatives"
  - "Misattribution"
  - "Generic Reform Failure"
  - "Basin Defense"
  - "Attractor Capture"
  - "Local Success Trap"
  - "Institutional Self-Justification"
  - "Pseudo-Coherence"
linked_restoration_arcs:
  - "RA-004"
  - "RA-008"
  - "RA-012"
  - "RA-014"
  - "RA-025"
  - "RA-040"
  - "RA-046"
  - "RA-054"
  - "RA-061"
  - "RA-063"
  - "RA-064"
  - "RA-073"
  - "RA-074"
  - "RA-076"
  - "RA-077"
  - "RA-078"
  - "RA-079"
anti_patterns:
  - "Basin Self-Story Capture"
  - "Local Order Absolutism"
  - "Export Blindness"
  - "Exit-Cost Minimization"
  - "Sub-Attractor Blindness"
  - "Reward Fog"
  - "Alternative Suppression Denial"
  - "Mapping-as-Delay Theater"
  - "Generic Reform Persistence"
completion_tests:
  - "local order is mapped"
  - "exported hidden debt is mapped"
  - "sub-attractor visibility increases"
  - "reward path visibility increases"
  - "exit cost is mapped"
  - "suppressed alternative visibility increases"
  - "basin legibility increases"
  - "misattribution decreases"
  - "reform specificity increases"
  - "Φ/O divergence decreases"
summary: "Basin Geometry Mapping repairs unknown pseudo-coherent basins by mapping local order, exported hidden debt, sub-attractors, reward paths, exit cost, and suppressed alternatives so misattribution falls and reform paths become basin-specific rather than generic."

Final Calibration Rule

Basin Geometry Mapping answers six questions:

What basin, attractor, institution, workflow, economy, governance regime, memory pattern, or pseudo-coherent field is being mapped?
What local order makes the basin appear coherent, realistic, successful, or necessary?
What hidden debt is exported outside the basin’s visible accounting?
What sub-attractors, reward paths, and exit costs keep the basin stable?
What alternatives are suppressed, under-supported, or delegitimized?
How does the map reduce misattribution and make the next reform, basin shallowing, attractor weakening, parallel seeding, or supersession path basin-specific rather than generic?