============================================================
DEPLOYMENT SUPPORT RECORD
AGLA / NON-DEPLOYABLE INVALID KERNEL EVIDENCE
Version: 1.0.0-SUPPORT-INVALID-SIGMA-SATOR-D
Status: SUPPORT_ONLY / NON_EXECUTABLE / NOT_DEPLOYMENT_SOURCE
Original_Kernel_ID: SIGMA_SATOR_D
Original_Path: 99_SIGMA_SATOR_OUTPUT/SIGMA_SATOR_D/SIGMA_SATOR_D_KERNEL.md
Current_Path: 99_DEPLOYMENT_SUPPORT/SUPPORT_INVALID_SIGMA_SATOR_D_KERNEL_RECORD.md
Deployment_Role: SUPPORT_ONLY
Executable: false
Kernel_Valid: false
Deployment_Source: false

Traceability: ORIGINAL INVALID KERNEL RECORD PRESERVED BELOW
============================================================


<!-- LOCAL_SECTION_INDEX_START -->
## LOCAL SECTION INDEX

Scope: local anchors within this artifact only. No cross-artifact links are introduced here.

- [Mutation Policy: GENERATED FILE ONLY; SOURCE STACK ARTIFACTS NOT MUTATED](#local-section-99-deployment-support-support-invalid-sigma-sator-d-kernel-record-mutation-policy-generated-file-only-source-stack-artifacts-not-mutated)
- [KERNEL_LIFECYCLE:](#local-section-99-deployment-support-support-invalid-sigma-sator-d-kernel-record-kernel-lifecycle)
- [CLASS_MAPPING:](#local-section-99-deployment-support-support-invalid-sigma-sator-d-kernel-record-class-mapping)
- [VALIDATION:](#local-section-99-deployment-support-support-invalid-sigma-sator-d-kernel-record-validation)
- [NON_COMPRESSION_ASSERTION:](#local-section-99-deployment-support-support-invalid-sigma-sator-d-kernel-record-non-compression-assertion)
- [SOURCE_ARTIFACT_MANIFEST:](#local-section-99-deployment-support-support-invalid-sigma-sator-d-kernel-record-source-artifact-manifest)
- [EMBEDDED CLASS ARTIFACTS -- FULL VERBATIM REPRODUCTION](#local-section-99-deployment-support-support-invalid-sigma-sator-d-kernel-record-embedded-class-artifacts-full-verbatim-reproduction)
<!-- LOCAL_SECTION_INDEX_END -->

============================================================
SIGMA_SATOR KERNEL BUNDLE
AGLA / DEPLOYMENT LAYER
Version: 1.0.0-SIGMA-SATOR-GENERATED-2026-04-30
Status: INCOMPLETE_INVALID_SIGMA_SATOR_KERNEL
Date: 2026-04-30
Authority: AGLA / CONTROL PLANE / HUMAN DEVELOPER DIRECTIVE
Class: AGLA / MACROCLASS (SIGMA_SATOR)
Kernel_ID: SIGMA_SATOR_D
Regime: D
Stack_Folder: 08_STACK_D
Selected_OPERA: MISSING
Source_Class_Law: 00_ROOT_CLASS_LAWS/AGLA_SIGMA_SATOR_CLASS_LAW.md


<a id="local-section-99-deployment-support-support-invalid-sigma-sator-d-kernel-record-mutation-policy-generated-file-only-source-stack-artifacts-not-mutated"></a>
Mutation Policy: GENERATED FILE ONLY; SOURCE STACK ARTIFACTS NOT MUTATED
============================================================


<a id="local-section-99-deployment-support-support-invalid-sigma-sator-d-kernel-record-kernel-lifecycle"></a>
KERNEL_LIFECYCLE:
    LOAD -> RESOLVE -> BIND -> ADMIT -> EXECUTE -> RETURN


<a id="local-section-99-deployment-support-support-invalid-sigma-sator-d-kernel-record-class-mapping"></a>
CLASS_MAPPING:
    LOAD / RESOLVE / BIND: TENET + ROTAS
    ADMIT: AREPO
    EXECUTE: OPERA
    RETURN: SATOR


<a id="local-section-99-deployment-support-support-invalid-sigma-sator-d-kernel-record-validation"></a>
VALIDATION:
    all_five_classes_present: FALSE
    all_five_classes_non_empty: TRUE
    full_verbatim_embedding_attempted: TRUE
    kernel_valid: FALSE
    missing_classes: AREPO:08_STACK_D/AREPO_D_InputAdmissibility.md; OPERA:08_STACK_D/OPERA_D_ExecutionMechanism.md; SATOR:08_STACK_D/SATOR_D_OutputRequirements.md


<a id="local-section-99-deployment-support-support-invalid-sigma-sator-d-kernel-record-non-compression-assertion"></a>
NON_COMPRESSION_ASSERTION:
    EMBEDDED ARTIFACT CONTENT BELOW IS INSERTED VERBATIM FROM SOURCE FILES.
    NO SOURCE STACK ARTIFACT WAS REWRITTEN BY THIS ASSEMBLY.
    IF A REQUIRED CLASS IS MISSING OR EMPTY, THIS KERNEL IS INVALID UNTIL PATCHED BY HUMAN DEVELOPER AUTHORITY.


<a id="local-section-99-deployment-support-support-invalid-sigma-sator-d-kernel-record-source-artifact-manifest"></a>
SOURCE_ARTIFACT_MANIFEST:
    - class: TENET
      file: 08_STACK_D/TENET_D_DoctrinalInvariants.md
      exists: TRUE
      non_empty: TRUE
      bytes: 13216
      sha256: 733995f5734c0a4d6d3930d8e63677ae70fd0842eab38168e1bc2a3e709e60c1
    - class: ROTAS
      file: 08_STACK_D/ROTAS_D_StructuralInstantiation.md
      exists: TRUE
      non_empty: TRUE
      bytes: 22897
      sha256: 19ac01d5ed19f736fcd72baa1f73771b15836f2083671aeda7cd4123f1329148
    - class: AREPO
      file: 08_STACK_D/AREPO_D_InputAdmissibility.md
      exists: FALSE
      non_empty: FALSE
    - class: OPERA
      file: 08_STACK_D/OPERA_D_ExecutionMechanism.md
      exists: FALSE
      non_empty: FALSE
    - class: SATOR
      file: 08_STACK_D/SATOR_D_OutputRequirements.md
      exists: FALSE
      non_empty: FALSE

============================================================


<a id="local-section-99-deployment-support-support-invalid-sigma-sator-d-kernel-record-embedded-class-artifacts-full-verbatim-reproduction"></a>
EMBEDDED CLASS ARTIFACTS -- FULL VERBATIM REPRODUCTION
============================================================

============================================================
BEGIN_VERBATIM_ARTIFACT: TENET
Source_File: 08_STACK_D/TENET_D_DoctrinalInvariants.md
Source_Exists: TRUE
Source_Non_Empty: TRUE
Source_Length_Bytes: 13216
Source_SHA256: 733995f5734c0a4d6d3930d8e63677ae70fd0842eab38168e1bc2a3e709e60c1
------------------------------------------------------------
============================================================
TENET D — PRINCIPIA DUPLEX (ABSOLUTA + RELATIVA)
Ars Generalis Applied — Unified Principial Regime (18 Dignities)
Version: 0.1.1-TENET-D-PRINCIPIA-DUPLEX-PHOENICIAN
Status: PROPOSED / STRUCTURAL FOUNDATION (EXTENDED)
Scope: unified principial field combining TENET A and TENET T
Authority: TENET
Mutation Policy: VERSION-CONTROLLED ONLY
Class: TENET

Regime: D (COMPRESSED PRINCIPIAL REGIME — A+T)
============================================================


<!-- LOCAL_SECTION_INDEX_START -->
## LOCAL SECTION INDEX

Scope: local anchors within this artifact only. No cross-artifact links are introduced here.

- [I. PURPOSE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-i-purpose)
- [II. STRUCTURAL COMPOSITION (FULL CARRIER TABLE)](#local-section-08-stack-d-tenet-d-doctrinalinvariants-ii-structural-composition-full-carrier-table)
- [ABSOLUTE DIGNITIES (A-LAYER)](#local-section-08-stack-d-tenet-d-doctrinalinvariants-absolute-dignities-a-layer)
- [RELATIVE DIGNITIES (T-LAYER)](#local-section-08-stack-d-tenet-d-doctrinalinvariants-relative-dignities-t-layer)
- [RULE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-rule)
- [CRITICAL CONSTRAINT](#local-section-08-stack-d-tenet-d-doctrinalinvariants-critical-constraint)
- [FAILURE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-failure)
- [III. ORDERING LAW (HIERARCHICAL CAUSALITY)](#local-section-08-stack-d-tenet-d-doctrinalinvariants-iii-ordering-law-hierarchical-causality)
- [RULE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-rule-2)
- [IV. DUAL NUMERIC DISCIPLINE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-iv-dual-numeric-discipline)
- [RULE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-rule-3)
- [V. AUXILIARY SCRIPT LAW (PHOENICIAN)](#local-section-08-stack-d-tenet-d-doctrinalinvariants-v-auxiliary-script-law-phoenician)
- [FUNCTION](#local-section-08-stack-d-tenet-d-doctrinalinvariants-function)
- [PROHIBITION](#local-section-08-stack-d-tenet-d-doctrinalinvariants-prohibition)
- [INTERPRETATION](#local-section-08-stack-d-tenet-d-doctrinalinvariants-interpretation)
- [LATIN:](#local-section-08-stack-d-tenet-d-doctrinalinvariants-latin)
- [PHOENICIAN:](#local-section-08-stack-d-tenet-d-doctrinalinvariants-phoenician)
- [VI. NON-COLLAPSE LAW](#local-section-08-stack-d-tenet-d-doctrinalinvariants-vi-non-collapse-law)
- [RULE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-rule-4)
- [VII. COMPRESSED REGIME STATUS](#local-section-08-stack-d-tenet-d-doctrinalinvariants-vii-compressed-regime-status)
- [RULE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-rule-5)
- [VIII. HISTORICAL CONSISTENCY](#local-section-08-stack-d-tenet-d-doctrinalinvariants-viii-historical-consistency)
- [IX. FUNCTION](#local-section-08-stack-d-tenet-d-doctrinalinvariants-ix-function)
- [RULE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-rule-6)
- [X. CLOSURE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-x-closure)
- [FINAL STATE:](#local-section-08-stack-d-tenet-d-doctrinalinvariants-final-state)
<!-- LOCAL_SECTION_INDEX_END -->

============================================================


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-i-purpose"></a>
I. PURPOSE
============================================================


Define REGIMEN_D as the unified principial field composed of:

    • absolute dignities (TENET A)
    • relative dignities (TENET T)

REGIMEN_D := TENET A + TENET T


with preserved:

    • hierarchy
    • projection
    • carrier integrity


============================================================
END SECTION I
============================================================


============================================================


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-ii-structural-composition-full-carrier-table"></a>
II. STRUCTURAL COMPOSITION (FULL CARRIER TABLE)
============================================================


Each dignity includes:

    • ORDINAL
    • LATIN (canonical)
    • PHOENICIAN (structural)
    • CARDINAL VALUE

------------------------------------------------------------


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-absolute-dignities-a-layer"></a>
ABSOLUTE DIGNITIES (A-LAYER)
------------------------------------------------------------

Ⅰ   B — Bonitas       — 𐤁 — 2
Ⅱ   C — Magnitudo     — 𐤂 — 3
Ⅲ   D — Duratio       — 𐤃 — 4
Ⅳ   E — Potentia      — 𐤄 — 5
Ⅴ   F — Sapientia     — 𐤅 — 6
Ⅵ   G — Voluntas      — 𐤆 — 7
Ⅶ   H — Virtus        — 𐤇 — 8
Ⅷ   I — Veritas       — 𐤈 — 9
Ⅸ   K — Gloria        — 𐤉 — 10

------------------------------------------------------------


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-relative-dignities-t-layer"></a>
RELATIVE DIGNITIES (T-LAYER)
------------------------------------------------------------

Ⅹ   L — Diferentia    — 𐤊 — 20   = T(B)
Ⅺ   M — Concordantia  — 𐤋 — 30   = T(C)
Ⅻ   N — Contrarietas  — 𐤌 — 40   = T(D)
ⅩⅢ  O — Initium       — 𐤍 — 50   = T(E)
ⅩⅣ  P — Medium        — 𐤎 — 60   = T(F)
ⅩⅤ  Q — Finis         — 𐤏 — 70   = T(G)
ⅩⅥ  R — Majoritas     — 𐤐 — 80   = T(H)
ⅩⅦ  S — Aequalitas    — 𐤑 — 90   = T(I)
ⅩⅧ  T — Minoritas     — 𐤒 — 100  = T(K)

------------------------------------------------------------


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-rule"></a>
RULE
------------------------------------------------------------


Each relative dignity is a projection:

    X_rel = T(X_abs)

------------------------------------------------------------


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-critical-constraint"></a>
CRITICAL CONSTRAINT
------------------------------------------------------------


PHOENICIAN glyphs are:

    • explicitly embedded
    • fixed per ordinal slot
    • non-inferable

------------------------------------------------------------


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-failure"></a>
FAILURE
------------------------------------------------------------

missing_glyph
glyph_inference
carrier_ambiguity


============================================================
END SECTION II
============================================================


============================================================


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-iii-ordering-law-hierarchical-causality"></a>
III. ORDERING LAW (HIERARCHICAL CAUSALITY)
============================================================


Order is strictly:

    A → T


Absolute dignities:

    define principial being


Relative dignities:

    define relations between beings

------------------------------------------------------------


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-rule-2"></a>
RULE
------------------------------------------------------------

No inversion allowed.


============================================================
END SECTION III
============================================================


============================================================


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-iv-dual-numeric-discipline"></a>
IV. DUAL NUMERIC DISCIPLINE
============================================================


Each dignity preserves:

    • ORDINAL (Ⅰ–ⅩⅧ)
    • GEMATRIC (Phoenician)
    • CARDINAL (registry-derived)

------------------------------------------------------------


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-rule-3"></a>
RULE
------------------------------------------------------------


No collapse between:

    ordinal
    gematric
    cardinal


============================================================
END SECTION IV
============================================================


============================================================


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-v-auxiliary-script-law-phoenician"></a>
V. AUXILIARY SCRIPT LAW (PHOENICIAN)
============================================================


Phoenician is:

    structural-only carrier layer

------------------------------------------------------------


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-function"></a>
FUNCTION
------------------------------------------------------------

    • disambiguation
    • numeric anchoring
    • ordinal stabilization

------------------------------------------------------------


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-prohibition"></a>
PROHIBITION
------------------------------------------------------------

    ✗ no user input in Phoenician
    ✗ no substitution of Latin carriers

------------------------------------------------------------


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-interpretation"></a>
INTERPRETATION
------------------------------------------------------------


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-latin"></a>
LATIN:

    operational


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-phoenician"></a>
PHOENICIAN:

    structural


============================================================
END SECTION V
============================================================


============================================================


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-vi-non-collapse-law"></a>
VI. NON-COLLAPSE LAW
============================================================

A and T remain distinct within D.


Example:

    B ≠ L

    but:
    L = T(B)

------------------------------------------------------------


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-rule-4"></a>
RULE
------------------------------------------------------------

Projection ≠ identity


============================================================
END SECTION VI
============================================================


============================================================


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-vii-compressed-regime-status"></a>
VII. COMPRESSED REGIME STATUS
============================================================


D is compressed but:

    NOT reduced

------------------------------------------------------------


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-rule-5"></a>
RULE
------------------------------------------------------------

All 18 dignities must remain explicit or recoverable.


============================================================
END SECTION VII
============================================================


============================================================


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-viii-historical-consistency"></a>
VIII. HISTORICAL CONSISTENCY
============================================================


Llull lists:

    A + T sequentially


Letter omission in some texts:

    pedagogical
    not structural


============================================================
END SECTION VIII
============================================================


============================================================


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-ix-function"></a>
IX. FUNCTION
============================================================


REGIMEN_D enables:

    unified principial expressions


Example:

    BCN


where:

    N = T(D)

------------------------------------------------------------


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-rule-6"></a>
RULE
------------------------------------------------------------

All compressed expressions must be reversible.


============================================================
END SECTION IX
============================================================


============================================================


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-x-closure"></a>
X. CLOSURE
============================================================


REGIMEN_D is valid iff:

    • 18 dignities present
    • projections preserved
    • carriers explicit
    • no collapse occurs

------------------------------------------------------------


<a id="local-section-08-stack-d-tenet-d-doctrinalinvariants-final-state"></a>
FINAL STATE:

    READY FOR ROTAS D

============================================================
END TENET D — PRINCIPIA DUPLEX
============================================================
END_VERBATIM_ARTIFACT: TENET
============================================================

============================================================
BEGIN_VERBATIM_ARTIFACT: ROTAS
Source_File: 08_STACK_D/ROTAS_D_StructuralInstantiation.md
Source_Exists: TRUE
Source_Non_Empty: TRUE
Source_Length_Bytes: 22897
Source_SHA256: 19ac01d5ed19f736fcd72baa1f73771b15836f2083671aeda7cd4123f1329148
------------------------------------------------------------
============================================================
ROTAS D — OCTO ROTAE FIGURAE QUARTAE
Ars Generalis Applied — Binary Wheel Topology for Principial Mixture
Version: 0.1.0-ROTAS-D-OCTO-ROTAE-FIGURAE-QUARTAE
Status: PROPOSED / STRUCTURAL TOPOLOGY
Scope: explicit ROTA family for three-wheel Figura Quarta over A/T regimes
Authority: ROTAS
Mutation Policy: VERSION-CONTROLLED ONLY
Class: ROTAS
Regime: D (A + T PRINCIPIAL MIXTURE)
Depends-On:
    • TENET D — PRINCIPIA DUPLEX
    • TENET — REGIMEN DISPATCH LAW
References:
    • TENET A


    • TENET T
============================================================


<!-- LOCAL_SECTION_INDEX_START -->
## LOCAL SECTION INDEX

Scope: local anchors within this artifact only. No cross-artifact links are introduced here.

- [I. PURPOSE](#local-section-08-stack-d-rotas-d-structuralinstantiation-i-purpose)
- [CORE ASSERTION](#local-section-08-stack-d-rotas-d-structuralinstantiation-core-assertion)
- [II. FIGURA QUARTA BINARY SPACE](#local-section-08-stack-d-rotas-d-structuralinstantiation-ii-figura-quarta-binary-space)
- [FORMAL](#local-section-08-stack-d-rotas-d-structuralinstantiation-formal)
- [TOTAL CONFIGURATIONS](#local-section-08-stack-d-rotas-d-structuralinstantiation-total-configurations)
- [COMPLETE SET](#local-section-08-stack-d-rotas-d-structuralinstantiation-complete-set)
- [RULE](#local-section-08-stack-d-rotas-d-structuralinstantiation-rule)
- [III. WHEEL POSITION LAW](#local-section-08-stack-d-rotas-d-structuralinstantiation-iii-wheel-position-law)
- [RULE](#local-section-08-stack-d-rotas-d-structuralinstantiation-rule-2)
- [INTERPRETATION](#local-section-08-stack-d-rotas-d-structuralinstantiation-interpretation)
- [FAILURE](#local-section-08-stack-d-rotas-d-structuralinstantiation-failure)
- [IV. ROTA FAMILY REGISTRY](#local-section-08-stack-d-rotas-d-structuralinstantiation-iv-rota-family-registry)
- [ROTA_D_AAA](#local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-aaa)
- [ROTA_D_AAT](#local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-aat)
- [ROTA_D_ATA](#local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-ata)
- [ROTA_D_ATT](#local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-att)
- [ROTA_D_TAA](#local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-taa)
- [ROTA_D_TAT](#local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-tat)
- [ROTA_D_TTA](#local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-tta)
- [ROTA_D_TTT](#local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-ttt)
- [V. CARRIER DOMAIN BINDING](#local-section-08-stack-d-rotas-d-structuralinstantiation-v-carrier-domain-binding)
- [A CARRIER DOMAIN](#local-section-08-stack-d-rotas-d-structuralinstantiation-a-carrier-domain)
- [T CARRIER DOMAIN](#local-section-08-stack-d-rotas-d-structuralinstantiation-t-carrier-domain)
- [RULE](#local-section-08-stack-d-rotas-d-structuralinstantiation-rule-3)
- [VI. CONFIGURATION INSTANCE FORM](#local-section-08-stack-d-rotas-d-structuralinstantiation-vi-configuration-instance-form)
- [FORM](#local-section-08-stack-d-rotas-d-structuralinstantiation-form)
- [EXAMPLE](#local-section-08-stack-d-rotas-d-structuralinstantiation-example)
- [INTERPRETATION](#local-section-08-stack-d-rotas-d-structuralinstantiation-interpretation-2)
- [VII. NO FREE WHEEL ASSIGNMENT LAW](#local-section-08-stack-d-rotas-d-structuralinstantiation-vii-no-free-wheel-assignment-law)
- [PROHIBITION](#local-section-08-stack-d-rotas-d-structuralinstantiation-prohibition)
- [RULE](#local-section-08-stack-d-rotas-d-structuralinstantiation-rule-4)
- [FAILURE](#local-section-08-stack-d-rotas-d-structuralinstantiation-failure-2)
- [VIII. RELATION TO OPERA](#local-section-08-stack-d-rotas-d-structuralinstantiation-viii-relation-to-opera)
- [RULE](#local-section-08-stack-d-rotas-d-structuralinstantiation-rule-5)
- [IX. FIGURA QUARTA COMPLETENESS LAW](#local-section-08-stack-d-rotas-d-structuralinstantiation-ix-figura-quarta-completeness-law)
- [FORMAL](#local-section-08-stack-d-rotas-d-structuralinstantiation-formal-2)
- [RULE](#local-section-08-stack-d-rotas-d-structuralinstantiation-rule-6)
- [FAILURE](#local-section-08-stack-d-rotas-d-structuralinstantiation-failure-3)
- [X. NON-COLLAPSE LAW](#local-section-08-stack-d-rotas-d-structuralinstantiation-x-non-collapse-law)
- [PROHIBITIONS](#local-section-08-stack-d-rotas-d-structuralinstantiation-prohibitions)
- [FAILURE](#local-section-08-stack-d-rotas-d-structuralinstantiation-failure-4)
- [XI. FUNCTION](#local-section-08-stack-d-rotas-d-structuralinstantiation-xi-function)
- [XII. CLOSURE](#local-section-08-stack-d-rotas-d-structuralinstantiation-xii-closure)
- [FINAL LAW](#local-section-08-stack-d-rotas-d-structuralinstantiation-final-law)
- [FINAL STATE:](#local-section-08-stack-d-rotas-d-structuralinstantiation-final-state)
<!-- LOCAL_SECTION_INDEX_END -->

END SECTION 0 — HEADER
============================================================


============================================================


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-i-purpose"></a>
I. PURPOSE
============================================================


Define the complete ROTAS topology for REGIMEN_D as:

    OCTO ROTAE FIGURAE QUARTAE

------------------------------------------------------------


This artifact establishes:

    • the full set of 8 lawful three-wheel configurations
    • explicit wheel-to-regime binding
    • positional distinction between configurations
    • non-ambiguous Figura Quarta use under A/T mixture
    • structural substrate for later OPERA selection

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-core-assertion"></a>
CORE ASSERTION
------------------------------------------------------------

Figura Quarta under REGIMEN_D must not rely on implicit
wheel assignment.


Every active wheel must explicitly declare:

    • wheel position
    • bound regime
    • carrier domain

============================================================
END SECTION I
============================================================


============================================================


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-ii-figura-quarta-binary-space"></a>
II. FIGURA QUARTA BINARY SPACE
============================================================


REGIMEN_D uses three wheel positions:

    W1
    W2
    W3


Each wheel may bind to:

    A
    T

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-formal"></a>
FORMAL
------------------------------------------------------------

Wn ∈ {A, T}


where:

    n ∈ {1,2,3}

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-total-configurations"></a>
TOTAL CONFIGURATIONS
------------------------------------------------------------

    2^3 = 8

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-complete-set"></a>
COMPLETE SET
------------------------------------------------------------

    AAA
    AAT
    ATA
    ATT
    TAA
    TAT
    TTA
    TTT

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-rule"></a>
RULE
------------------------------------------------------------

All 8 configurations are lawful unless explicitly blocked
by a later AREPO constraint.

============================================================
END SECTION II
============================================================


============================================================


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-iii-wheel-position-law"></a>
III. WHEEL POSITION LAW
============================================================

Wheel position is structurally significant.

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-rule-2"></a>
RULE
------------------------------------------------------------

AAT ≠ ATA ≠ TAA


because:

    W1, W2, W3 are distinct positions

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-interpretation"></a>
INTERPRETATION
------------------------------------------------------------


Configuration identity is determined by:

    ordered wheel binding


not by:

    unordered regime count

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-failure"></a>
FAILURE
------------------------------------------------------------

wheel_order_collapse
configuration_equivalence_error
positional_erasure

============================================================
END SECTION III
============================================================


============================================================


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-iv-rota-family-registry"></a>
IV. ROTA FAMILY REGISTRY
============================================================


The complete ROTAS D family is:

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-aaa"></a>
ROTA_D_AAA
------------------------------------------------------------

W1 = A
W2 = A
W3 = A


Type:
    pure absolute principial configuration

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-aat"></a>
ROTA_D_AAT
------------------------------------------------------------

W1 = A
W2 = A
W3 = T


Type:
    absolute-leading mixed configuration

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-ata"></a>
ROTA_D_ATA
------------------------------------------------------------

W1 = A
W2 = T
W3 = A


Type:
    medial-relative mixed configuration

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-att"></a>
ROTA_D_ATT
------------------------------------------------------------

W1 = A
W2 = T
W3 = T


Type:
    absolute-initial mixed configuration

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-taa"></a>
ROTA_D_TAA
------------------------------------------------------------

W1 = T
W2 = A
W3 = A


Type:
    relative-initial mixed configuration

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-tat"></a>
ROTA_D_TAT
------------------------------------------------------------

W1 = T
W2 = A
W3 = T


Type:
    medial-absolute mixed configuration

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-tta"></a>
ROTA_D_TTA
------------------------------------------------------------

W1 = T
W2 = T
W3 = A


Type:
    absolute-terminal mixed configuration

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-rota-d-ttt"></a>
ROTA_D_TTT
------------------------------------------------------------

W1 = T
W2 = T
W3 = T


Type:
    pure relative principial configuration

============================================================
END SECTION IV
============================================================


============================================================


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-v-carrier-domain-binding"></a>
V. CARRIER DOMAIN BINDING
============================================================


A-bound wheels use:

    absolute dignity carriers

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-a-carrier-domain"></a>
A CARRIER DOMAIN
------------------------------------------------------------

B — Bonitas
C — Magnitudo
D — Duratio
E — Potentia
F — Sapientia
G — Voluntas
H — Virtus
I — Veritas
K — Gloria

------------------------------------------------------------


T-bound wheels use:

    relative dignity carriers

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-t-carrier-domain"></a>
T CARRIER DOMAIN
------------------------------------------------------------

L — Differentia      = T(B)
M — Concordantia     = T(C)
N — Contrarietas     = T(D)
O — Initium          = T(E)
P — Medium           = T(F)
Q — Finis            = T(G)
R — Majoritas        = T(H)
S — Aequalitas       = T(I)
T — Minoritas        = T(K)

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-rule-3"></a>
RULE
------------------------------------------------------------

A wheel bound to A may not receive T carriers.

A wheel bound to T may not receive A carriers.

============================================================
END SECTION V
============================================================


============================================================


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-vi-configuration-instance-form"></a>
VI. CONFIGURATION INSTANCE FORM
============================================================


A ROTAS D chamber instance must declare:

    • selected ROTA
    • W1 carrier
    • W2 carrier
    • W3 carrier

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-form"></a>
FORM
------------------------------------------------------------

ROTA_INSTANCE :=
{
    rota_id,
    W1: {regime, carrier},
    W2: {regime, carrier},
    W3: {regime, carrier}
}

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-example"></a>
EXAMPLE
------------------------------------------------------------


BCN under ROTA_D_AAT means:

    W1 = A:B
    W2 = A:C
    W3 = T:N

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-interpretation-2"></a>
INTERPRETATION
------------------------------------------------------------


The surface string:

    BCN

is valid only if its ROTA binding is explicit.

============================================================
END SECTION VI
============================================================


============================================================


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-vii-no-free-wheel-assignment-law"></a>
VII. NO FREE WHEEL ASSIGNMENT LAW
============================================================

Figura Quarta may not be used with implicit wheel regimes.

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-prohibition"></a>
PROHIBITION
------------------------------------------------------------


No operation may assume:

    • W1 regime from context
    • W2 regime from context
    • W3 regime from context

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-rule-4"></a>
RULE
------------------------------------------------------------

Wheel regime must be declared before traversal,
comparison, multiplication, or evacuation.

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-failure-2"></a>
FAILURE
------------------------------------------------------------

implicit_wheel_binding
free_assignment_drift
runtime_regime_guessing

============================================================
END SECTION VII
============================================================


============================================================


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-viii-relation-to-opera"></a>
VIII. RELATION TO OPERA
============================================================


ROTAS D defines:

    lawful ROTA configurations

------------------------------------------------------------


OPERA may later:

    • select a ROTA
    • activate a ROTA
    • compare ROTAE
    • traverse within a ROTA
    • multiply across ROTAE

------------------------------------------------------------


ROTAS D does NOT:

    • select configurations
    • execute traversal
    • filter outputs
    • perform evacuation
    • perform multiplication

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-rule-5"></a>
RULE
------------------------------------------------------------

ROTAE define lawful wheel structures.

OPERA operates over them.

============================================================
END SECTION VIII
============================================================


============================================================


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-ix-figura-quarta-completeness-law"></a>
IX. FIGURA QUARTA COMPLETENESS LAW
============================================================


A valid REGIMEN_D Figura Quarta topology must include:

    all 8 binary configurations

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-formal-2"></a>
FORMAL
------------------------------------------------------------

Complete_D_Figura_Quarta :=
{
    AAA,
    AAT,
    ATA,
    ATT,
    TAA,
    TAT,
    TTA,
    TTT
}

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-rule-6"></a>
RULE
------------------------------------------------------------

No configuration may be omitted unless explicitly forbidden
by TENET or AREPO.

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-failure-3"></a>
FAILURE
------------------------------------------------------------

incomplete_rota_family
missing_configuration
unjustified_exclusion

============================================================
END SECTION IX
============================================================


============================================================


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-x-non-collapse-law"></a>
X. NON-COLLAPSE LAW
============================================================


ROTAS D must preserve:

    • wheel position
    • regime binding
    • carrier identity
    • configuration identity

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-prohibitions"></a>
PROHIBITIONS
------------------------------------------------------------


ROTAS D must not collapse:

    • A into T
    • T into A
    • AAT into ATA
    • ATA into TAA
    • any configuration into unordered regime count

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-failure-4"></a>
FAILURE
------------------------------------------------------------

regime_collapse
carrier_collapse
rota_identity_loss
configuration_flattening

============================================================
END SECTION X
============================================================


============================================================


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-xi-function"></a>
XI. FUNCTION
============================================================


ROTAS D governs:

    • structural display of D-wheel configurations
    • explicit topology of A/T Figura Quarta variants
    • stable chamber binding
    • non-ambiguous carrier placement

------------------------------------------------------------


ROTAS D is:

    • structural
    • positional
    • finite
    • complete

------------------------------------------------------------


ROTAS D is NOT:

    • an execution layer
    • an admissibility layer
    • a doctrine layer
    • a mediation layer

============================================================
END SECTION XI
============================================================


============================================================


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-xii-closure"></a>
XII. CLOSURE
============================================================

ROTAS D establishes the complete eightfold Figura Quarta
topology for REGIMEN_D.

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-final-law"></a>
FINAL LAW
------------------------------------------------------------


No D-level Figura Quarta chamber is valid unless:

    • its ROTA configuration is explicit
    • all three wheel positions are bound
    • each carrier belongs to its declared regime
    • the configuration belongs to the complete 8-ROTA family

------------------------------------------------------------


<a id="local-section-08-stack-d-rotas-d-structuralinstantiation-final-state"></a>
FINAL STATE:

    READY FOR AREPO D / OPERA D CONSTRUCTION

============================================================
END ROTAS D — OCTO ROTAE FIGURAE QUARTAE
============================================================
END_VERBATIM_ARTIFACT: ROTAS
============================================================

============================================================
BEGIN_VERBATIM_ARTIFACT: AREPO
Source_File: 08_STACK_D/AREPO_D_InputAdmissibility.md
Source_Exists: FALSE
Source_Non_Empty: FALSE
------------------------------------------------------------
MISSING_REQUIRED_CLASS_ARTIFACT: 08_STACK_D/AREPO_D_InputAdmissibility.md
------------------------------------------------------------
END_VERBATIM_ARTIFACT: AREPO
============================================================

============================================================
BEGIN_VERBATIM_ARTIFACT: OPERA
Source_File: 08_STACK_D/OPERA_D_ExecutionMechanism.md
Source_Exists: FALSE
Source_Non_Empty: FALSE
------------------------------------------------------------
MISSING_REQUIRED_CLASS_ARTIFACT: 08_STACK_D/OPERA_D_ExecutionMechanism.md
------------------------------------------------------------
END_VERBATIM_ARTIFACT: OPERA
============================================================

============================================================
BEGIN_VERBATIM_ARTIFACT: SATOR
Source_File: 08_STACK_D/SATOR_D_OutputRequirements.md
Source_Exists: FALSE
Source_Non_Empty: FALSE
------------------------------------------------------------
MISSING_REQUIRED_CLASS_ARTIFACT: 08_STACK_D/SATOR_D_OutputRequirements.md
------------------------------------------------------------
END_VERBATIM_ARTIFACT: SATOR
============================================================

============================================================
END SIGMA_SATOR KERNEL BUNDLE: SIGMA_SATOR_D
============================================================