07_STACK_G/ROTAS_G_StructuralInstantiation.md

Page Sections

Version: 1.0.0-ROTA-G-MAGNUM-NORMALIZED line 4
Status: PROPOSED / VALIDATION TARGET line 5
Authority: ROTAS (bound to TENET G) line 6
Scope: Structural topology for Evacuatio projection line 7
Mutation Policy: VERSION-CONTROLLED ONLY line 8
Class: ROTAS line 10
## LOCAL SECTION INDEX line 15
Scope: local anchors within this artifact only. No cross-artifact links are introduced here. line 17
SECTION 1 — PURPOSE & CLASS ROLE line 111
PRINCIPLE line 116
ROTA G defines the structural topology that supports line 119
Evacuatio projection. line 120
ROLE line 126
ROTA G: line 131
NON-ROLE line 142
ROTA G does NOT: line 146
LAYER POSITION line 158
TENET G line 161
ROTA G line 164
OPERA G line 167
SEPARATION LAW line 174
END SECTION 1 line 180
SECTION 2 — TOPOLOGICAL STRUCTURE line 188
PRINCIPLE line 193
ROTA G is a multi-ring cyclic topology. line 196
STRUCTURE line 202
CARDINALITY line 217
INTERPRETATION line 228
Each ring corresponds to a TENET G layer: line 232
CONSTRAINT line 242
All rings must: line 246
PROHIBITION line 256
ROTA G must not: line 260
END SECTION 2 line 267
SECTION 3 — CHAMBER RING (36) line 275
PRINCIPLE line 280
The inner ring represents FIGURA TERTIA. line 283
DEFINITION line 289
CARDINALITY line 303
PROPERTIES line 312
Each chamber: line 316
FUNCTION line 326
ROTA G exposes chamber space as: line 330
CONSTRAINT line 340
ROTA G must not: line 344
NOTE line 354
Chamber selection belongs to OPERA G. line 357
END SECTION 3 line 360
SECTION 4 — STATEMENT RING (12) line 368
PRINCIPLE line 373
The statement ring represents the closure outputs. line 376
DEFINITION line 382
CARDINALITY line 396
INTERPRETATION line 405
Statements are: line 409
PROPERTIES line 419
Cycle properties: line 423
CONSTRAINT line 433
ROTA G must not: line 437
NOTE line 447
Statement content belongs to OPERA G. line 450
END SECTION 4 line 453
SECTION 5 — QUESTION RING (24) line 461
PRINCIPLE line 466
The question ring represents interrogative projection. line 469
DEFINITION line 475
CARDINALITY line 489
STRUCTURE line 498
Each statement position corresponds to: line 502
INTERPRETATION line 510
Questions are: line 514
CONSTRAINT line 524
ROTA G must not: line 528
NOTE line 538
Question derivation belongs to OPERA G. line 541
END SECTION 5 line 544
SECTION 6 — CYCLIC ORDER & TRAVERSAL line 550
PRINCIPLE line 555
DEFINITION line 564
Each ring is a closed cycle: line 568

============================================================ ROTA G — EVACUATIO MACHINE (REWRITE) Ars Generalis Applied — ROTAS Layer Version: 1.0.0-ROTA-G-MAGNUM-NORMALIZED Status: PROPOSED / VALIDATION TARGET Authority: ROTAS (bound to TENET G) Scope: Structural topology for Evacuatio projection Mutation Policy: VERSION-CONTROLLED ONLY Class: ROTAS ============================================================  ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [SECTION 1 — PURPOSE & CLASS ROLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-1-purpose-class-role) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle) - [ROLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-role) - [ROTA G:](#local-section-07-stack-g-rotas-g-structuralinstantiation-rota-g) - [NON-ROLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-non-role) - [LAYER POSITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-layer-position) - [SEPARATION LAW](#local-section-07-stack-g-rotas-g-structuralinstantiation-separation-law) - [SECTION 2 — TOPOLOGICAL STRUCTURE](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-2-topological-structure) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-2) - [STRUCTURE](#local-section-07-stack-g-rotas-g-structuralinstantiation-structure) - [CARDINALITY](#local-section-07-stack-g-rotas-g-structuralinstantiation-cardinality) - [INTERPRETATION](#local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint) - [PROHIBITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-prohibition) - [SECTION 3 — CHAMBER RING (36)](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-3-chamber-ring-36) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-3) - [DEFINITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-definition) - [CARDINALITY](#local-section-07-stack-g-rotas-g-structuralinstantiation-cardinality-2) - [PROPERTIES](#local-section-07-stack-g-rotas-g-structuralinstantiation-properties) - [FUNCTION](#local-section-07-stack-g-rotas-g-structuralinstantiation-function) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-2) - [NOTE](#local-section-07-stack-g-rotas-g-structuralinstantiation-note) - [SECTION 4 — STATEMENT RING (12)](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-4-statement-ring-12) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-4) - [DEFINITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-definition-2) - [CARDINALITY](#local-section-07-stack-g-rotas-g-structuralinstantiation-cardinality-3) - [INTERPRETATION](#local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-2) - [PROPERTIES](#local-section-07-stack-g-rotas-g-structuralinstantiation-properties-2) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-3) - [NOTE](#local-section-07-stack-g-rotas-g-structuralinstantiation-note-2) - [SECTION 5 — QUESTION RING (24)](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-5-question-ring-24) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-5) - [DEFINITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-definition-3) - [CARDINALITY](#local-section-07-stack-g-rotas-g-structuralinstantiation-cardinality-4) - [STRUCTURE](#local-section-07-stack-g-rotas-g-structuralinstantiation-structure-2) - [INTERPRETATION](#local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-3) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-4) - [NOTE](#local-section-07-stack-g-rotas-g-structuralinstantiation-note-3) - [SECTION 6 — CYCLIC ORDER & TRAVERSAL](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-6-cyclic-order-traversal) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-6) - [DEFINITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-definition-4) - [TRAVERSAL](#local-section-07-stack-g-rotas-g-structuralinstantiation-traversal) - [INTERPRETATION](#local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-4) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-5) - [PROHIBITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-prohibition-2) - [SECTION 7 — POSITIONAL MAPPING](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-7-positional-mapping) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-7) - [DEFINITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-definition-5) - [MAPPING](#local-section-07-stack-g-rotas-g-structuralinstantiation-mapping) - [INTERPRETATION](#local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-5) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-6) - [PROHIBITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-prohibition-3) - [SECTION 8 — NON-EXECUTION LAW](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-8-non-execution-law) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-8) - [FORMAL CONDITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-formal-condition) - [INTERPRETATION](#local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-6) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-7) - [PROHIBITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-prohibition-4) - [FAILURE CONDITIONS](#local-section-07-stack-g-rotas-g-structuralinstantiation-failure-conditions) - [SECTION 9 — INVARIANCE LAW](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-9-invariance-law) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-9) - [PRESERVED INVARIANTS](#local-section-07-stack-g-rotas-g-structuralinstantiation-preserved-invariants) - [INTERPRETATION](#local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-7) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-8) - [PROHIBITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-prohibition-5) - [SECTION 10 — RELATION TO OTHER CLASSES](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-10-relation-to-other-classes) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-10) - [RELATIONS](#local-section-07-stack-g-rotas-g-structuralinstantiation-relations) - [TENET G:](#local-section-07-stack-g-rotas-g-structuralinstantiation-tenet-g) - [ROTA G:](#local-section-07-stack-g-rotas-g-structuralinstantiation-rota-g-2) - [OPERA G:](#local-section-07-stack-g-rotas-g-structuralinstantiation-opera-g) - [AREPO G:](#local-section-07-stack-g-rotas-g-structuralinstantiation-arepo-g) - [SATOR G:](#local-section-07-stack-g-rotas-g-structuralinstantiation-sator-g) - [SEPARATION LAW](#local-section-07-stack-g-rotas-g-structuralinstantiation-separation-law-2) - [INTERFACE](#local-section-07-stack-g-rotas-g-structuralinstantiation-interface) - [SECTION 11 — VALIDITY CONDITIONS](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-11-validity-conditions) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-11) - [VALIDITY FORMULA](#local-section-07-stack-g-rotas-g-structuralinstantiation-validity-formula) - [FAILURE CONDITIONS](#local-section-07-stack-g-rotas-g-structuralinstantiation-failure-conditions-2) - [SEVERITY](#local-section-07-stack-g-rotas-g-structuralinstantiation-severity) - [SECTION 12 — FUNCTION & CLOSURE](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-12-function-closure) - [FUNCTION](#local-section-07-stack-g-rotas-g-structuralinstantiation-function-2) - [SYSTEM ROLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-system-role) - [FINAL LAW](#local-section-07-stack-g-rotas-g-structuralinstantiation-final-law) - [CLOSURE CONDITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-closure-condition) - [Status: PROPOSED / VALIDATION TARGET](#local-section-07-stack-g-rotas-g-structuralinstantiation-status-proposed-validation-target)  ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-section-1-purpose-class-role"></a> SECTION 1 — PURPOSE & CLASS ROLE ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-principle"></a> PRINCIPLE ------------------------------------------------------------ ROTA G defines the structural topology that supports Evacuatio projection. ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-role"></a> ROLE ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-rota-g"></a> ROTA G: • exposes cyclic structure of Evacuatio • preserves cardinal mapping (36 / 12 / 24) • provides positional reference system • supports OPERA execution without executing it ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-non-role"></a> NON-ROLE ------------------------------------------------------------ ROTA G does NOT: • generate statements • derive questions • execute Evacuatio • validate admissibility • mediate interpretation ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-layer-position"></a> LAYER POSITION ------------------------------------------------------------ TENET G → defines invariants ROTA G → exposes structure OPERA G → executes closure ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-separation-law"></a> SEPARATION LAW ------------------------------------------------------------ ROTA G ≠ OPERA G ============================================================ END SECTION 1 ============================================================ ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-section-2-topological-structure"></a> SECTION 2 — TOPOLOGICAL STRUCTURE ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-principle-2"></a> PRINCIPLE ------------------------------------------------------------ ROTA G is a multi-ring cyclic topology. ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-structure"></a> STRUCTURE ------------------------------------------------------------ ROTA_G := topology( chamber_ring_36, statement_ring_12, question_ring_24 ) ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-cardinality"></a> CARDINALITY ------------------------------------------------------------ |CHAMBERS| = 36 |STATEMENTS| = 12 |QUESTIONS| = 24 ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation"></a> INTERPRETATION ------------------------------------------------------------ Each ring corresponds to a TENET G layer: • chamber ring → camera domain • statement ring → closure outputs • question ring → interrogative projections ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-constraint"></a> CONSTRAINT ------------------------------------------------------------ All rings must: • be cyclic • be closed • preserve cardinality ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-prohibition"></a> PROHIBITION ------------------------------------------------------------ ROTA G must not: ✗ alter cardinality ✗ introduce additional nodes ✗ remove nodes ============================================================ END SECTION 2 ============================================================ ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-section-3-chamber-ring-36"></a> SECTION 3 — CHAMBER RING (36) ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-principle-3"></a> PRINCIPLE ------------------------------------------------------------ The inner ring represents FIGURA TERTIA. ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-definition"></a> DEFINITION ------------------------------------------------------------ CHAMBER_RING := ordered set of all cameras: combinations({B..K}, 2) ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-cardinality-2"></a> CARDINALITY ------------------------------------------------------------ |CHAMBER_RING| = 36 ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-properties"></a> PROPERTIES ------------------------------------------------------------ Each chamber: • is binary (X,Y) • is unique • corresponds to one Evacuatio domain ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-function"></a> FUNCTION ------------------------------------------------------------ ROTA G exposes chamber space as: • complete • finite • cyclically indexable ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-2"></a> CONSTRAINT ------------------------------------------------------------ ROTA G must not: ✗ generate chambers ✗ alter chamber identity ✗ reorder chambers arbitrarily ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-note"></a> NOTE ------------------------------------------------------------ Chamber selection belongs to OPERA G. ============================================================ END SECTION 3 ============================================================ ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-section-4-statement-ring-12"></a> SECTION 4 — STATEMENT RING (12) ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-principle-4"></a> PRINCIPLE ------------------------------------------------------------ The statement ring represents the closure outputs. ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-definition-2"></a> DEFINITION ------------------------------------------------------------ STATEMENT_RING := ordered cyclic positions: S₁ ... S₁₂ ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-cardinality-3"></a> CARDINALITY ------------------------------------------------------------ |STATEMENT_RING| = 12 ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-2"></a> INTERPRETATION ------------------------------------------------------------ Statements are: • positions in a cycle • not independent items • structurally ordered ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-properties-2"></a> PROPERTIES ------------------------------------------------------------ Cycle properties: • bidirectional pairing • relation symmetry (forward / inverse) • cyclic continuity ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-3"></a> CONSTRAINT ------------------------------------------------------------ ROTA G must not: ✗ generate statements ✗ assign semantic content ✗ alter ordering rules ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-note-2"></a> NOTE ------------------------------------------------------------ Statement content belongs to OPERA G. ============================================================ END SECTION 4 ============================================================ ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-section-5-question-ring-24"></a> SECTION 5 — QUESTION RING (24) ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-principle-5"></a> PRINCIPLE ------------------------------------------------------------ The question ring represents interrogative projection. ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-definition-3"></a> DEFINITION ------------------------------------------------------------ QUESTION_RING := ordered cyclic positions: Q₁ ... Q₂₄ ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-cardinality-4"></a> CARDINALITY ------------------------------------------------------------ |QUESTION_RING| = 24 ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-structure-2"></a> STRUCTURE ------------------------------------------------------------ Each statement position corresponds to: • 2 question positions ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-3"></a> INTERPRETATION ------------------------------------------------------------ Questions are: • statement-anchored • cyclically distributed • structurally dependent ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-4"></a> CONSTRAINT ------------------------------------------------------------ ROTA G must not: ✗ derive questions ✗ assign question meaning ✗ break statement-question mapping ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-note-3"></a> NOTE ------------------------------------------------------------ Question derivation belongs to OPERA G. ============================================================ END SECTION 5 ============================================================ ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-section-6-cyclic-order-traversal"></a> SECTION 6 — CYCLIC ORDER & TRAVERSAL ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-principle-6"></a> PRINCIPLE ------------------------------------------------------------ ROTA G defines cyclic order, not execution sequence. ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-definition-4"></a> DEFINITION ------------------------------------------------------------ Each ring is a closed cycle: chamber_ring: 36-cycle statement_ring: 12-cycle question_ring: 24-cycle ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-traversal"></a> TRAVERSAL ------------------------------------------------------------ Traversal is: • circular • continuous • index-based ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-4"></a> INTERPRETATION ------------------------------------------------------------ Movement across the structure is: positional, not generative ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-5"></a> CONSTRAINT ------------------------------------------------------------ ROTA G must not: ✗ enforce execution order ✗ simulate pipeline steps ✗ imply causation between positions ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-prohibition-2"></a> PROHIBITION ------------------------------------------------------------ ROTA G must not: ✗ replace OPERA pipeline logic ✗ act as execution scheduler ============================================================ END SECTION 6 ============================================================ ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-section-7-positional-mapping"></a> SECTION 7 — POSITIONAL MAPPING ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-principle-7"></a> PRINCIPLE ------------------------------------------------------------ Each ring admits positional indexing. ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-definition-5"></a> DEFINITION ------------------------------------------------------------ Indices: chambers: 1..36 statements: 1..12 questions: 1..24 ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-mapping"></a> MAPPING ------------------------------------------------------------ Mapping relations: statement_position i → question_positions (2i−1, 2i) ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-5"></a> INTERPRETATION ------------------------------------------------------------ Position encodes: • structural location • adjacency • cyclic continuity ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-6"></a> CONSTRAINT ------------------------------------------------------------ Mapping must preserve: • cardinality • adjacency relations • statement-question pairing ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-prohibition-3"></a> PROHIBITION ------------------------------------------------------------ ROTA G must not: ✗ assign semantic interpretation to positions ✗ alter mapping rules ============================================================ END SECTION 7 ============================================================ ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-section-8-non-execution-law"></a> SECTION 8 — NON-EXECUTION LAW ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-principle-8"></a> PRINCIPLE ------------------------------------------------------------ ROTA G is strictly non-executive. ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-formal-condition"></a> FORMAL CONDITION ------------------------------------------------------------ ROTA G does not: • generate • derive • resolve • validate ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-6"></a> INTERPRETATION ------------------------------------------------------------ ROTA G is: • structural • representational • indexical ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-7"></a> CONSTRAINT ------------------------------------------------------------ All operations must occur outside ROTAS layer. ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-prohibition-4"></a> PROHIBITION ------------------------------------------------------------ ROTA G must not: ✗ execute Evacuatio ✗ validate closure ✗ produce outputs ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-failure-conditions"></a> FAILURE CONDITIONS ------------------------------------------------------------ execution_leak topology_execution_confusion layer_collapse_ROTAS_OPERA ============================================================ END SECTION 8 ============================================================ ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-section-9-invariance-law"></a> SECTION 9 — INVARIANCE LAW ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-principle-9"></a> PRINCIPLE ------------------------------------------------------------ ROTA G preserves TENET G invariants. ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-preserved-invariants"></a> PRESERVED INVARIANTS ------------------------------------------------------------ • 36 chambers • 12 statements • 24 questions • strict separation of layers • cyclic closure ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-7"></a> INTERPRETATION ------------------------------------------------------------ ROTA G reflects: TENET G structure without modification ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-8"></a> CONSTRAINT ------------------------------------------------------------ ROTA G must be: • invariant under traversal • invariant under indexing • invariant under projection ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-prohibition-5"></a> PROHIBITION ------------------------------------------------------------ ROTA G must not: ✗ distort structure ✗ introduce asymmetry ✗ permit partial mapping ============================================================ END SECTION 9 ============================================================ ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-section-10-relation-to-other-classes"></a> SECTION 10 — RELATION TO OTHER CLASSES ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-principle-10"></a> PRINCIPLE ------------------------------------------------------------ ROTA G exists within class-separated architecture. ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-relations"></a> RELATIONS ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-tenet-g"></a> TENET G: defines closure invariants <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-rota-g-2"></a> ROTA G: exposes structural topology <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-opera-g"></a> OPERA G: executes Evacuatio <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-arepo-g"></a> AREPO G: validates admissibility <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-sator-g"></a> SATOR G: mediates outputs ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-separation-law-2"></a> SEPARATION LAW ------------------------------------------------------------ ROTA G must not: ✗ perform TENET functions ✗ perform OPERA functions ✗ perform AREPO validation ✗ perform SATOR mediation ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-interface"></a> INTERFACE ------------------------------------------------------------ ROTA G provides: positional structure consumed by: • OPERA G (for projection compatibility) • SATOR G (for positional explanation) ============================================================ END SECTION 10 ============================================================ ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-section-11-validity-conditions"></a> SECTION 11 — VALIDITY CONDITIONS ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-principle-11"></a> PRINCIPLE ------------------------------------------------------------ A valid ROTA G structure must satisfy all invariants. ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-validity-formula"></a> VALIDITY FORMULA ------------------------------------------------------------ valid(ROTA_G) ⇔ |CHAMBER_RING| = 36 ∧ |STATEMENT_RING| = 12 ∧ |QUESTION_RING| = 24 ∧ cyclic_integrity ∧ mapping_consistency ∧ layer_separation_preserved ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-failure-conditions-2"></a> FAILURE CONDITIONS ------------------------------------------------------------ cardinality_violation cycle_break mapping_inconsistency layer_collapse ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-severity"></a> SEVERITY ------------------------------------------------------------ All failures are: BLOCKING ============================================================ END SECTION 11 ============================================================ ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-section-12-function-closure"></a> SECTION 12 — FUNCTION & CLOSURE ============================================================ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-function-2"></a> FUNCTION ------------------------------------------------------------ ROTA G governs: • structural topology of Evacuatio • cyclic indexing of chambers • positional structure of statements • positional structure of questions • mapping relations between layers ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-system-role"></a> SYSTEM ROLE ------------------------------------------------------------ ROTA G is: • a topology carrier • a structural reference field • a non-executive projection layer ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-final-law"></a> FINAL LAW ------------------------------------------------------------ ROTA G must always remain: structurally invariant execution-independent cardinality-preserving ------------------------------------------------------------ <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-closure-condition"></a> CLOSURE CONDITION ------------------------------------------------------------ ROTA G is valid iff: it faithfully exposes TENET G structure without performing any operation ============================================================ END SECTION 12 ============================================================ ============================================================ END ROTA G — EVACUATIO MACHINE (REWRITE) Version: 1.0.0-ROTA-G-MAGNUM-NORMALIZED <a id="local-section-07-stack-g-rotas-g-structuralinstantiation-status-proposed-validation-target"></a> Status: PROPOSED / VALIDATION TARGET ============================================================