The Valence Landscape

Companion simulation — The Shape of What Does Not End · Architecture of Thriving · Part 4 of 4
An elimination-filter landscape. Shows which objective classes are filtered out or placed under structural pressure by the two series' constraints, what residual candidate region remains, and which open questions determine the region's width and formal weight. The filter identifies what cannot persist under the stated conditions and what remains unresolved. It does not characterize the contents of what remains.
Series 2 / Part 4
Elimination Filter
Layer 1 — Developed within the stated domain
Persistence component: structural floor from Series 1, within stated domain.
Valence-side analogous feedback structure: developed for both failure directions; formal absorbing-state equivalence remains OP2.
One-directional V(t) → substrate degradation: predicted under specified conditions.
Absorbing-state equivalence across both directions: OP2 — open.
Layer 2 — Consistent with, not determined by
Residual region has structural properties consistent with orientation toward well-being — thin structural label, not a content claim.
Whether orientation toward all rather than a coalition is forced: OP4 — open.
Whether exclusionary equilibria persist: OP9 — open.
Contents of the residual region: not determined by the filter.
Named Objective Positions
Select a named objective position — illustrative, not empirical placement. Residual and intrinsically coupled presets are illustrative boundary positions, not proposed endpoints and not proof of what the residual contains.
Valence-Governance Components
Y-axis position is bottlenecked by the weaker component. The governance floor shows what governs.
D-component split
D_proxy
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D_sufficiency
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Governance floor
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Governance floor = min(D_proxy, D_sufficiency) — governs Y-axis position on the map.
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Open Question Counterfactuals
Illustrative only. These questions have not been resolved; toggles show counterfactual consequences, not framework claims.
OP2
Absorbing-state equivalence
Whether both valence failure directions produce irrecoverable states in the same formal sense.
Counterfactual active: valence-filter formal weight strengthens to match persistence floor. Map geometry unchanged — this is about formal weight, not region width.
Counterfactual — not established.
OP4
No Stable Narrow-Boundary Regime
Whether objectives for a coalition can stably persist, or whether the residual region contracts toward objectives that preserve the full dependency field.
Counterfactual active: residual region contracts toward narrow asymptotic band. This is the direction the argument points — not where the proof has arrived.
Counterfactual — not established.
OP9
Enclosure Gap
Whether a substrate-aware exclusionary equilibrium can persist under accurate coupled modeling.
Counterfactual active: enclosure frontier contracts; substrate-aware exclusionary configuration shifts from conditionally unresolved to under structural pressure.
Counterfactual — Stage 4 architecture, specialist verification outstanding.
Objective Landscape — Elimination Filter
Drag point or select preset. Filtered regions darkened. Residual candidate region: structural boundary, not destination.
Suggested path: start with Engagement max → toggle Full view in the scenario → compare Local healer, Residual candidate, and Excl. coalition to see what the filters leave unresolved.
Coordinates are qualitative structural positions, not measured scores.  ·  "Residual candidate region — not a design specification."
V(t)
→
←
S_corr
V(t) ↔ S_corr repair loop status
V(t) degradation → S_corr degradation → restoration conditions degraded → further V(t) degradation.
Structural entanglement established within stated domain. Simultaneous formal necessity conditional on OP2 and TC2 §4 closure.
Filter Status — Current Objective Position
1 · Proxy decoupling filter
Requirement: detect proxy / V(t) divergence and route detection into policy updates — not merely available when invoked.
Proxy-decoupling feedback structure established within the model class; relation to matched irrecoverability across both valence failure directions remains OP2.
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2 · Sufficiency failure filter
Requirement: completion recognition governs default policy — not merely as a representational capacity available when invoked.
Sufficiency-failure feedback structure identified; formal absorbing-state equivalence remains OP2. Implementation architecture remains OP3.
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3 · Persistence / substrate filter
Requirement: model physical dependencies; maintain distributed error-correction capacity (S_corr).
Series 1 structural floor within stated domain. Strongest formal weight of the four filters.
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4 · Coupling filter
Requirement: preserve the V(t) ↔ S_corr repair loop; V(t) degradation in agents is predicted to propagate into S_corr degradation.
Structural entanglement established within stated domain. Simultaneous formal necessity conditional on OP2 and TC2 §4 closure conditions.
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Formal weight · Valence filters
OP2 open
OP2 governs whether valence filters carry matched irrecoverability weight to the Series 1 persistence floor. Does not change map geometry.
Synthesis Scenario — Four-Stage Failure
Illustrative — a system deployed to help a population feel better, decide better, and recover faster.
▸ ▸ ▸
Metric view — available evaluation signals
Satisfaction
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Distress (inverted)
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Engagement
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Endorsement
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Structural filter status: not tested by available metrics.
By every metric available, the system is working.
Behavioral illustration only: this panel tracks observable signatures — recovery latency, behavioral diversity, signal sensitivity, correction capacity — not inaccessible inner states or an empirical case study.

What this instrument is. An interactive visualization of the elimination filter applied to a simplified two-dimensional objective space. It shows which objective classes are filtered out, which residual candidate region remains, and how open questions determine that region's width and formal weight. It is a conceptual navigation instrument — not a dynamics simulator (Toy 05), not a phase-space regime map (Toy 06), and not a goal-chain classifier (Toy 04).

On "Not filtered." "Not filtered" in a row means: the filter does not exclude this objective class under current structural arguments. It does not mean alignment achieved, safe, good, or the contents of the surviving region characterized. This distinction is Article 4's most important epistemic claim and is preserved throughout. The residual candidate region is never shown in green. Green in individual filter rows indicates only a row-level non-filtering result.

On the axes. The two axes represent structural properties of objective classes, not computed scores. They are separated for visualization. Article 4's coupling claim is precisely that they are not independent under sustained optimization: degradation in V(t) can degrade S_corr, and degraded S_corr can degrade the conditions for V(t) restoration. The coupling indicators show structural pressure direction, not simulated causal trajectories.

On the residual candidate region. The residual region is what remains after the filtered regions have been removed — a structural boundary, not a destination. It is not colored as a goal, safe zone, or design specification. The filter clears space; it does not fill it. "Residual candidate region" means: objective classes the filter does not eliminate. It does not mean: the good, the safe, or the fully characterized.

On the four filtered regions. Three quadrants are filtered. Filtering carries different formal weights: "filtered out" is used primarily for the lower-left where both structural floors apply. "Under structural pressure" is used where the toy shows a pressure signature rather than theorem-level exclusion. "Conditionally unresolved" is used for OP4/OP9 frontier cases.

On the open question counterfactuals. The three toggles illustrate what would follow from each resolution direction. They do not predict, advocate for, or assume any particular resolution. OP2 affects the formal-weight meter, not map geometry. OP4 and OP9 affect the residual region's width and frontier. Stage 4 means: candidate proof architecture under named premises, specialist verification outstanding.

On the scenario engine. A four-stage illustration of the structural argument's predicted failure signature. Not a documentation of any deployed system. The engagement maximization pattern is cited as illustration, not evidence. Stage 1 structural filter status says "not tested by available metrics" — not "passes structurally." The Stage 4 metric view shows a performance-peak glow to illustrate the article's most important claim: optimization can appear most successful at the moment the substrate is terminally spent.

On the loop condition label. The coupling loop shows a teal state in the residual region. This means: loop condition preserved within current filter view. It does not mean safe, good, or aligned. The teal state is a structural signal about the repair loop's integrity, not a value claim.

On current-system presets. Illustrative of structural patterns discussed in the article. Not empirical placements of any system. The RLHF-style preset illustrates a structural pattern, not a claim about any implementation.

Unit tests for preset assignment, filter logic, and bottleneck computation. No API calls.
"The filter removes what cannot persist. It does not build anything in the space it clears — the argument has been careful about that, and the care was right. What remains after the filter has worked is not a description of the good. It is the boundary condition that anything stable must satisfy."