D9 Tables II: Decoherence and Failure Modes

Geometry of Normativity / Ethical Alignment

Table 17. D9 Decoherence Categories

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Category	Symbol	Description
Register Distortion	$RegDist_9$	A D9 register is misread, flattened, or absolutized
Force Distortion	$ForceDist_9$	Moral pressure is too strong, too weak, wrong, or displaced
Responsibility Distortion	$RespDist_9$	Answerability is evaded, inflated, misplaced, or scapegoated
Repair Distortion	$RepairDist_9$	Repair is blocked, faked, overdone, or reduced to one part
Dimensional Capture	$Capture_9$	D9 is replaced by meaning, feeling, will, identity, consensus, or bypass
Moral Inversion	$Inv_9$	Misalignment appears as alignment

Formula:

$Decoh_9(x) \iff RegDist_9(x) \vee ForceDist_9(x) \vee RespDist_9(x) \vee RepairDist_9(x) \vee Capture_9(x) \vee Inv_9(x)$

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Table 18. Register Distortions

Register	Coherent Function	Distortion	Distorted Form
$Val_9$	Basic value polarity	Simplistic moral sorting	Everything becomes good people vs bad people
$Right_9$	Actional correctness	Rule-legalism	Rules replace judgment
$Ord_9$	Comparative ranking	Optimization tyranny	Better/worse becomes totalizing efficiency
$Obl_9$	Binding demand	Duty inflation	Everything good becomes required
$Perm_9$	Admissibility boundary	Permissive collapse	Allowed becomes good
$Just_9$	Relational coherence	Resentment / revenge	Punishment replaces repair
$Worth_9$	Dignity and recognition	Shame / contempt	Persons are reduced below worth
$Sac_9$	Reverence / inviolability	Purity fanaticism	Sacredness becomes contamination-control
$Sig_9$	Existential weight	Dramatization or flattening	Everything becomes ultimate, or nothing matters

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Table 19. Normative Force Distortions

Distortion	Definition	Example
Overforce	Too much moral pressure	Treating a minor failure as unforgivable
Underforce	Too little moral pressure	Treating real betrayal as “not a big deal”
Misforce	Wrong kind of moral pressure	Treating a recommended good as sacredly binding
Force Displacement	Pressure assigned to the wrong person, object, or domain	Blaming a victim for another person’s harm
Force Inflation	A permissible or optional act becomes treated as required	Making generosity compulsory in every case
Force Collapse	A real obligation is treated as mere preference	Ignoring a duty because it is inconvenient

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Table 20. Responsibility Distortions

Distortion	Definition	D9 Correction
False Guilt	Feeling answerable where one is not responsible	Distinguish affect from responsibility
Guilt Evasion	Refusing responsibility where one is answerable	Restore truthful ownership
Scapegoating	Assigning responsibility to the wrong party	Reassign responsibility justly
Role-Blindness	Ignoring role-specific duty	Restore role context
Total Responsibility Inflation	Treating oneself as responsible for everything	Restore proper limits
Blame-Shifting	Moving responsibility away from the true agent	Return ownership to the responsible party
Collective Diffusion	Hiding responsibility inside a group	Map individual and institutional answerability
Power-Blindness	Ignoring differences in agency or influence	Weight responsibility by power and capacity

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Table 21. Repair Distortions

Distortion	Definition	Why It Fails
Punishment-Loop	Treating suffering as repair	Pain alone does not restore coherence
Forgiveness Bypass	Releasing without truth or protection	Harm is erased rather than repaired
Apology Substitution	Words replace ownership or restitution	Expression is not sufficient repair
Restitution Without Remorse	Compensation without responsibility	External restoration lacks moral ownership
Endless Atonement	Repair becomes permanent self-punishment	The self is trapped in residue
Closure Demand	Pressure to “move on” before repair	Unfinished residue is denied
Boundary Avoidance	Refusing needed protection	Harm remains structurally possible
Reintegration Rush	Restoring participation before reform	The same rupture can recur
Reform Without Truth	Structural change without naming wrong	The field remains semantically unstable

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Table 22. Dimensional Capture of D9

Capture Type	Formula	Error
D6 Capture	$\sigma_6(x) = K_9(x)$	Explanation mistaken for justification
D7 Capture	$A_7(x) = K_9(x)$	Feeling mistaken for moral truth
D8 Capture	$a_8(x) = K_9(x)$	Choice mistaken for goodness
D10 Capture	$I_{10}(s) = Good$	Identity mistaken for the Good
D11 Capture	$N_{11}(x) = K_9(x)$	Consensus mistaken for moral truth
D12 Collapse	$D12 \Rightarrow \neg D9$	Ultimate coherence used to erase local responsibility
D5 Capture	$\mathcal E_5(x)=K_9(x)$	Manifest form mistaken for normative alignment

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Table 23. Moral Inversion Patterns

Misalignment	Defended As	D9 Correction
Revenge	Justice	Justice requires proportion and repair
Domination	Order	Order must remain answerable to dignity
Cruelty	Righteousness	Righteousness cannot violate worth
Cowardice	Peace	Peace cannot be avoidance of truth
Indifference	Neutrality	Neutrality can conceal responsibility
Self-Erasure	Love	Love does not require loss of dignity
Fanaticism	Sacred Duty	Sacredness requires humility and reverence
Tribal Loyalty	Goodness	Loyalty must remain under the Good
Shame	Truth	Wrong action does not erase personal worth
License	Freedom	Freedom remains answerable to alignment
Sentimentality	Compassion	Compassion requires truth and boundary
Purity-Control	Reverence	Reverence is not contamination anxiety

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Table 24. D9 Repair Vector

Repair Component	Symbol	Question	Function
Truth	$Truth_9$	What must be named?	Restores reality-contact
Acknowledgment	$Ack_9$	What must be recognized as normatively real?	Validates the rupture
Confession / Ownership	$Conf_9$	Who must own what?	Assigns responsibility
Apology	$Apology_9$	What must be expressed to the harmed party?	Communicates remorse and recognition
Restitution	$Restitution_9$	What must be restored, returned, repaid, or compensated?	Repairs material or relational loss
Boundary	$Boundary_9$	What must be protected, limited, stopped, or restructured?	Prevents recurrence
Mercy	$Mercy_9$	What may be released without denying truth?	Opens non-punitive restoration
Reform	$Reform_9$	What pattern or structure must change?	Repairs the source pattern
Reintegration	$Reintegration_9$	How can the field return to coherent participation?	Restores participation where possible

Formula:

$R_9(x)= ( Truth_9, Ack_9, Conf_9, Apology_9, Restitution_9, Boundary_9, Mercy_9, Reform_9, Reintegration_9 )$

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Table 25. Repair Outcomes

Outcome	Description
Unrepaired	Normative rupture remains unresolved
Partially Repaired	Some repair components occur, but residue remains
Falsely Repaired	Repair is claimed but not actually achieved
Over-Repaired	Repair becomes excessive, punitive, or self-erasing
Repaired	Normative coherence is restored sufficiently
Transformed	Repair produces a higher-order integration than the prior state

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Table 26. D9 Residue Vector

Residue Type	Symbol	Definition
Truth Residue	$\rho_T$	What has not yet been named truthfully
Responsibility Residue	$\rho_R$	What has not yet been owned or properly assigned
Justice Residue	$\rho_J$	What remains unfair, disproportionate, or unrepaired
Debt / Duty Residue	$\rho_D$	What remains owed or unfulfilled
Promise Residue	$\rho_P$	What remains from broken or unresolved promises
Worth Residue	$\rho_W$	What remains from shame, contempt, or dignity violation
Sacred Residue	$\rho_S$	What remains from desecration or sacred violation
Meaning Residue	$\rho_M$	What remains existentially unresolved
Identity / Integration Residue	$\rho_I$	What remains unintegrated in selfhood or collective memory

Formula:

$Res_9(x)= ( \rho_T, \rho_R, \rho_J, \rho_D, \rho_P, \rho_W, \rho_S, \rho_M, \rho_I )$

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Table 27. D7 Residue vs D9 Residue

Type	Meaning	Example
D7 Residue Without D9 Residue	Affective charge without actual responsibility	False guilt, survivor guilt, shame after being harmed
D9 Residue Without D7 Residue	Normative rupture without felt remorse	Harm done by someone who feels fine; hidden institutional injustice
D7 and D9 Residue Together	Emotional and normative residue overlap	Betrayal, injustice, moral injury, sacred violation
D7 Repair	Emotional integration	Feeling settles or resolves
D9 Repair	Normative restoration	Truth, responsibility, repair, reform, reintegration

Table 28. D9 Moral Conflict Types

Conflict Type	Definition	Example
Apparent Conflict	Conflict dissolves under clarification	Truth and kindness seem opposed, but are not
Register Conflict	Two D9 registers make different demands	Justice vs mercy
Force Conflict	Dispute over how binding a good is	Is helping optional or obligatory?
Responsibility Conflict	Answerability is unclear or distributed	Institutional harm
Repair Conflict	Repair vectors point in different directions	Disclosure vs protection
Tragic Dilemma	Every option leaves serious residue	Choosing least harm in crisis
Lesser-Evil Scenario	All options are compromised, but one is least decoherent	Choosing a policy that still harms some people
Obligation-Impossibility Conflict	A real good cannot be fully embodied	Duty exceeds actual capacity

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Table 29. Major D9 Conflict Pairs

Conflict Pair	Coherent Resolution Principle
Justice vs Mercy	Justice protects the rupture; mercy protects the person from reduction to the rupture
Truth vs Protection	Truth is normally prior to repair, but protection may govern timing, form, and audience
Loyalty vs Honesty	Loyalty is coherent only when ordered under the Good
Duty vs Self-Preservation	Duty binds real agency, not fantasy agency
Sacredness vs Compassion	Sacredness without compassion becomes purity-control; compassion without sacredness becomes boundaryless sentiment
Obligation vs Impossibility	True impossibility transforms obligation into partial repair, witness, lament, delegation, or future responsibility
Good vs Permissible	Something may be allowed without being especially good
Meaningful vs Required	Something may carry existential weight without being obligatory
Repair vs Punishment	Punishment may be one tool of repair, but repair is the larger goal
Consensus vs Truth	Collective agreement does not determine alignment

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Table 30. D9 Moral Conflict Priority Rules

Rule	Principle
Truth Before Repair	No repair without reality-contact
Worth Constrains Optimization	Persons cannot be reduced to aggregate utility
Prohibition Constrains Permission	What is forbidden cannot become permissible by desire or normalization
Justice Constrains Mercy	Mercy cannot erase harm, truth, or protection
Mercy Constrains Punishment	Punishment cannot become suffering for its own sake
Sacredness Constrains Use	The sacred must not be treated as merely instrumental
Embodiment Constrains Obligation	Ought implies can
D12 Humility Constrains Certainty	Local judgment is not total coherence

Table 31. D9 Vice Patterns

Vice	D9 Failure	Underlying Distortion
Cowardice	Failure to act under known alignment	D7 fear captures D8 agency
Pride	Self replaces answerability	D10 ego capture
Cruelty	Suffering loses normative weight	Worth and compassion collapse
Revenge	Harm becomes permission to harm	Justice inversion
License	Appetite replaces proportion	Permission distortion
Betrayal	Commitment collapses under convenience	Fidelity distortion
Contempt	Person reduced below dignity	Worth inversion
Fanaticism	Sacredness becomes control	Sacred/profane distortion
Despair	Failure becomes identity	Repentance collapse
Hypocrisy	Selfhood fragments under different moral fields	Integrity failure
Enabling	Care protects misalignment	Compassion distortion
Self-Righteousness	Local judgment becomes total certainty	D9 inflation toward D12

Table 32. D9 Diagnostic Protocols

Test	Core Question
Register Integration Test	Which D9 registers are active, and are they integrated?
Normative Force Calibration Test	What kind of moral pressure is proper?
Responsibility Assignment Test	Who is answerable, and in what way?
Repair Adequacy Test	What would actually restore coherence?
Residue Scan	What remains unfinished?
Attractor Identification Test	What normative basin is pulling the field?
Dimensional Capture Test	Is feeling, will, identity, consensus, law, or bypass replacing D9?
D5 Embeddability Test	Can the Good become manifest here?
D10 Integration Test	How is this entering conscience, identity, guilt, dignity, or virtue?
D11 Norm Test	Is a collective norm aligned or misaligned?
D12 Humility Test	Is this judgment answerable to a Good beyond itself?

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Table 33. D9 Short-Form Diagnostic Checklist

Step	Question
1. Truth	What is actually happening?
2. Register	Which D9 registers are active?
3. Force	What kind of moral pressure is proper?
4. Responsibility	Who is answerable?
5. Repair	What would restore coherence?
6. Residue	What remains unfinished?
7. Attractor	What pattern is pulling the field?
8. Capture	Is D9 being replaced by feeling, will, identity, consensus, or bypass?
9. Embodiment	How can the Good become manifest here?
10. Humility	Is this judgment answerable to a Good beyond itself?