19_STACK_W/ROTAS_W_StructuralInstantiation.md

Page Sections

# ROTAS W — STRUCTURAL INSTANTIATION line 1
Version: 1.0.0 line 3
Status: CANONICAL SOURCE / NON_RUNTIME / RUNTIME_DISABLED line 5
Authority: HUMAN-AUTHORIZED CANONICAL SOURCE / STACK_W SCOPE ONLY line 7
Class: ROTAS line 9
Registration: IDENTITY_AND_DISCOVERY_ONLY / NOT_ADMITTED line 13
Regime: W line 15
effective-ROTA evidence contract line 20
Supersedes: line 22
without mutation line 26
Provider Status: REGISTERED IDENTITY ONLY / NON_RUNTIME / RUNTIME_DISABLED line 38
Mutation Policy: VERSION-CONTROLLED SUCCESSORS ONLY line 40
Canonical Effect: CANONICAL SOURCE WITHIN STACK_W ONLY line 42
Runtime Effect: NONE / RUNTIME_DISABLED line 44
## 1. Structural role line 46
ROTAS W instantiates the structure constrained by TENET W. It does not define line 48
## 2. Carrier domain and wheel factorization line 51
The two wheels in each pair are rigidly tied: line 64
addresses. The term occupying each address is supplied by line 72
## 3. Address grammar line 75
address identity is not semantic term identity. line 87
## 4. Relative rotation and cameras line 89
The directed relative state is: line 100
The structure therefore has nine relative states and eighty-one placements. line 118
metric proves semantic identity. line 121
## 5. Typed relations line 123
The only structural relation types exposed by this ROTA are: line 125
They are non-interchangeable. In particular: line 133
## 6. Current-evidence record line 150
declare: line 153
The effective ROTA is unresolved unless the record identifies this local line 172
canonical source or a separately admitted compatible composition by exact reference. line 173
scope is stale for the new invocation. line 175
This canonical source defines the record shape only. It does not emit current line 177
## 7. Display geometry line 180
ninety degrees and carrier order proceeding clockwise. Display geometry is not line 183
execution and does not authorize a MACHINA artifact. line 184
## 8. Five-class boundary line 186
ROTAS W receives proposed invariants from TENET W and supplies structural line 188
## Closing boundary line 192
It is non-runtime and runtime-disabled. Structural validation and index line 195
registration create no AREPO admission or execution authority. line 196

# ROTAS W — STRUCTURAL INSTANTIATION Version: 1.0.0 Status: CANONICAL SOURCE / NON_RUNTIME / RUNTIME_DISABLED Authority: HUMAN-AUTHORIZED CANONICAL SOURCE / STACK_W SCOPE ONLY Class: ROTAS Artifact ID: `IDX-W-ROTA` Registration: IDENTITY_AND_DISCOVERY_ONLY / NOT_ADMITTED Regime: W Official Title: REGIMEN W — HABITUS MORALES / MORAL HABITS Scope: four-wheel W topology, address grammar, relative rotations, and effective-ROTA evidence contract Supersedes: `_01_INTEGRATION_CANDIDATES/STACK_W/QUALIFICATION/SUCCESSORS/ROTAS_W_StructuralInstantiation_v0.2.0.md@0.2.0`; qualified blob `d4135c510da8e7ec10eff367aae709cde18c795f` at integration commit `58ce4cec5f15a78b0263e85deea5a1e9e7412eed`; source preserved without mutation Lineage-Origin: `_01_INTEGRATION_CANDIDATES/STACK_W/ROTAS_W_StructuralInstantiation.md@0.1.1`; received blob `e6ddce458713c66c3700c079f7b0aaf7999e1d41` at intake commit `65e2df777aed7cbada7041dfc6cbc7007959f68a` Depends-On: `TENET_W_DoctrinalInvariants.md`, `LIBER_X_W_TERM_MATRIX.json`, and `W_ROTATION_SEMANTICS_DECISION_RECORD.md` Effective ROTA ID: `IDX-W-ROTA` Provider Status: REGISTERED IDENTITY ONLY / NON_RUNTIME / RUNTIME_DISABLED Mutation Policy: VERSION-CONTROLLED SUCCESSORS ONLY Canonical Effect: CANONICAL SOURCE WITHIN STACK_W ONLY Runtime Effect: NONE / RUNTIME_DISABLED ## 1. Structural role ROTAS W instantiates the structure constrained by TENET W. It does not define doctrine, decide admissibility, execute a mapping, or mediate a result. ## 2. Carrier domain and wheel factorization ```text carrier order = B C D E F G H I K W = V & U V = +V & -V U = +U & -U PAIR_V = {+V, -V} PAIR_U = {+U, -U} ``` The two wheels in each pair are rigidly tied: ```text rotation(+V) = rotation(-V) rotation(+U) = rotation(-U) ``` There are four wheels, two tied pairs, nine carriers, and thirty-six unique W addresses. The term occupying each address is supplied by `LIBER_X_W_TERM_MATRIX.json`; ROTAS does not infer or rename terms. ## 3. Address grammar For every `x` in `{B,C,D,E,F,G,H,I,K}`: ```text Wx = Vx & Ux Vx = +Vx & -Vx Ux = +Ux & -Ux Wx = +Vx & -Vx & +Ux & -Ux ``` An address has exactly one sign, one wheel pair, and one carrier. Structural address identity is not semantic term identity. ## 4. Relative rotation and cameras Index the carriers from zero in the declared order. For a V carrier `v` and a U carrier `u`: ```text directed_delta_mod_9(v,u) = (index(u) - index(v)) mod 9 undirected_circular_distance(v,u) = min(directed_delta_mod_9(v,u), 9 - directed_delta_mod_9(v,u)) ``` The directed relative state is: ```text delta = rotation(U) - rotation(V) mod 9 delta in {0,1,2,3,4,5,6,7,8} ``` For every carrier index `i`: ```text C(i,delta) = { +V[carrier(i)], -V[carrier(i)], +U[carrier((i + delta) mod 9)], -U[carrier((i + delta) mod 9)] } ``` The structure therefore has nine relative states and eighty-one placements. For the cross-address Temperantia identity, `+VE` to `-UC` has `directed_delta_mod_9 = 7` and `undirected_circular_distance = 2`. Neither metric proves semantic identity. ## 5. Typed relations The only structural relation types exposed by this ROTA are: - `TIED_COUNTERPART`; - `CO_CARRIER`; - `ROTATIONAL_ALIGNMENT`; - `IDENTICAL_TERM_CROSS_ADDRESS` when explicitly declared in the term matrix; - `SOURCE_EXPLICIT_RELATION` when typed by the source/profile records. They are non-interchangeable. In particular: ```text CARRIER != TERM ADDRESS != TERM_IDENTITY CO_CARRIER != CONTRARY TIED_RELATION != ROTATIONAL_ALIGNMENT ROTATIONAL_ALIGNMENT != SEMANTIC_IDENTITY SIGN(+/-) != MORAL_VALENCE ROTA != WHEEL HOUSE != OPERATOR PLACEMENT != CONNECTION ``` The fixed reciprocal semantic identities are `+VE <-> -UC`, `+VH <-> -UG`, and `+VI <-> -UH`. Their addresses and roles remain distinct. ## 6. Current-evidence record Before AREPO W may admit a prospective OPERA W invocation, ROTAS evidence must declare: ```text W_ROTAS_EVIDENCE := { invocation_epoch_id, subject_ref, execution_scope, rotas_artifact_ref, rotas_version_or_hash, provider_status, effective_rota_id, effective_rota_source, admitted_composition_ref_or_none, resolved_in_epoch_or_freshness_proof, term_matrix_ref, status } ``` The effective ROTA is unresolved unless the record identifies this local canonical source or a separately admitted compatible composition by exact reference. Provider status may not be erased. A record from another epoch, subject, or scope is stale for the new invocation. This canonical source defines the record shape only. It does not emit current evidence, select itself at runtime, or grant AREPO admission. ## 7. Display geometry Nine equal loci may be placed at forty-degree angular intervals, with B at ninety degrees and carrier order proceeding clockwise. Display geometry is not execution and does not authorize a MACHINA artifact. ## 8. Five-class boundary ROTAS W receives proposed invariants from TENET W and supplies structural evidence to AREPO W. It does not rank moral terms, admit an input, run OPERA W, alter OPERA output, or perform SATOR mediation. ## Closing boundary `IDX-W-ROTA` identifies this canonical source for routing and discovery only. It is non-runtime and runtime-disabled. Structural validation and index registration create no AREPO admission or execution authority.