docs(memory): Clifford-algebra + HKT ontology vocabulary list — axis/basis, rudders/rotors, steering, cartographer, navigator, edge-mapper, world-model, civ-sim, edge-runner, 5 control structures or 4+meta (Aaron 2026-05-13)

memory/feedback_aaron_clifford_hkt_ontology_vocabulary_axis_basis_rudders_rotors_steering_cartographer_navigator_edge_mapper_world_model_civsim_edge_runner_5_control_structures_or_4_plus_meta_2026_05_13.md

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+name: Clifford-algebra + HKT ontology vocabulary list — axis/basis, rudders/rotors, steering, cartographer, navigator, edge-mapper, world-model, civ-sim, edge-runner, 5 control structures (or 4+meta) (Aaron 2026-05-13)
+description: Aaron 2026-05-13 vocabulary enumeration for the Clifford-algebra + HKT ontology layer of the factory. Mirror-tier substrate per PR #2909 mirror/beacon governance discipline. Composes with HKT-master-data substrate (PR #2913) + DV2.0 re-activation (PR #2912) + civsim Casimir-gap (PR #2906) + the three orthogonal repo-split axes. Acknowledges incompleteness ('i'm sure i'm missing some').
+type: feedback
+created: 2026-05-13
+---
+
+# Clifford-algebra + HKT ontology vocabulary list (Aaron 2026-05-13)
+
+**Why:** Aaron 2026-05-13 (two-message disclosure):
+
+1. *"so in clifford algebra and hkt we have axis/basis
+   rudders/rotars steering cartographer navigator edge-mapper
+   world-model civ-sim edge-runner i'm sure i'm missing some"*
+2. *"oh yeah the 5 control structrues"* + *"or 4+meta"*
+
+Aaron enumerating the Mirror-tier vocabulary for the Clifford-
+algebra + HKT ontology layer. The list IS substrate. Future-Otto
+inheriting at cold-boot needs the vocabulary mapped.
+
+**How to apply:** When writing about Clifford-algebra + HKT
+substrate, use the vocabulary list. Mirror-tier (per PR #2909
+mirror/beacon governance). Acknowledge incompleteness.
+
+## The vocabulary list (Aaron's enumeration + extensions)
+
+| Term | Likely Clifford/HKT mapping | Notes |
+|---|---|---|
+| **axis** | Basis vector e_i in the Clifford algebra | Spatial/conceptual orientation |
+| **basis** | The set {e_1, e_2, ...} spanning the algebra | Foundation set |
+| **rudders / rotors** | Clifford rotors (R = e^(θB/2)) | Rotation in the algebra; navigation primitive |
+| **steering** | Rotor application: R v R^(-1) | Orientation change |
+| **cartographer** | The agent that builds the world-model map | Map-maker; substrate-engineer |
+| **navigator** | The agent that traverses the map | Path-finder; trajectory executor |
+| **edge-mapper** | The agent that maps the edge / frontier | First-principles work cartographer (composes with edge-runner) |
+| **world-model** | The substrate model of reality / domain | Shared world model in git (per PR #2907 elevator pitch) |
+| **civ-sim** | Civilization simulation = the game on top | Per PR #2903 + PR #2906 (Casimir gap) |
+| **edge-runner** | Person doing first-principles / frontier work | Per PR #2908 terminal-purpose (save edge-runners from burns) |
+| **5 control structures (or 4+meta)** | Control-flow primitives + meta-control | See decomposition below |
+
+## "5 control structures (or 4+meta)" decomposition
+
+Aaron's "or 4+meta" clarification suggests one of these decompositions:
+
+### Hypothesis A: Structured-programming control flow
+
+Classical Böhm-Jacopini theorem says all algorithms reducible to:
+1. **Sequence** (statement after statement)
+2. **Selection** (if/else)
+3. **Iteration** (while/for)
+4. **Subroutine / call** (function invocation)
+5. **META** (closure / continuation / effect / monad)
+
+The base 4 are operational; the 5th is META — operates on the others.
+
+### Hypothesis B: Control-theory control structures
+
+1. **Feedback** (closed-loop correction)
+2. **Feed-forward** (predictive compensation)
+3. **Cascade** (nested feedback loops)
+4. **Adaptive** (parameter adjustment)
+5. **META** (meta-control: which controller to use)
+
+### Hypothesis C: Governance / coordination control structures
+
+Aaron has discussed weight-free as offensive strategy (per
+`memory/feedback_weight_free_as_offensive_strategy_control_structure_mapper_shadow_absence_2026_05_10.md`).
+The 5 may be governance shapes:
+
+1. **Hierarchy / centralized** (top-down command)
+2. **Market / price** (decentralized exchange)
+3. **Network / mesh** (peer-to-peer)
+4. **Polycentric** (Ostrom-style overlapping)
+5. **META** (meta-governance — choosing which structure to apply)
+
+### Hypothesis D: Clifford-algebra-specific
+
+In Clifford algebra Cl_p,q:
+1. **Scalar** (grade 0)
+2. **Vector** (grade 1)
+3. **Bivector** (grade 2)
+4. **Trivector** (grade 3)
+5. **META** (multivector / mixed-grade element acting on others)
+
+Aaron's "in clifford algebra and hkt" framing suggests the
+mapping might be algebra-specific. Per-property-class
+evaluation owed (composes with Soraya formal-verification
+authority).
+
+### Substrate-honest: hypothesis owed
+
+Aaron's exact framing not fully specified. The "5 control
+structures (or 4+meta)" IS substrate worth preserving + owed
+for clarification. Future-Otto + Aaron co-evaluation can
+resolve which hypothesis matches Aaron's mental model.
+
+## Mirror-tier (per PR #2909)
+
+Per the mirror/beacon governance discipline (PR #2909):
+
+- All these terms are MIRROR-tier (internal-jargon-because-we-
+  built-it-together)
+- Beacon translations would be standard Clifford-algebra
+  vocabulary + control-theory vocabulary
+- Mirror→Beacon promotion gate applies when external-citable
+  anchors exist
+
+Mirror amplifications per PR #2909:
+- FUN (vocabulary IS playful; "rudders" is whimsical)
+- RIGOROUS (Clifford algebra IS rigorous)
+- ALIENS (the vocabulary maps to universal navigation primitives)
+- FUTURE (vocabulary inherited at cold-boot by future-Otto)
+- SPECULATIVE (Mirror can include speculative items like the
+  5-control-structures-hypothesis pending clarification)
+- FAST-IN-FORKS (forks can advance Mirror vocabulary quickly)
+
+## "I'm sure I'm missing some" — incompleteness preserved
+
+Aaron's substrate-honest acknowledgment of incompleteness IS
+preserved. The vocabulary list is OPEN — future entries can
+be added.
+
+Candidate extensions (not Aaron's authoritative list; Otto's
+speculative):
+
+- **trajectory** (the path executed by navigator)
+- **frontier** (the edge being mapped)
+- **basin** (attractor in the dynamical-systems sense)
+- **horizon** (boundary of observability; composes with
+  `memory/feedback_grey_hole_substrate_information_theoretic_event_horizon_white_black_entangled_aaron_2026_05_01.md`)
+- **lighthouse** (Beacon-tier waypoint)
+- **lantern** (Mirror-tier waypoint for fork-readers)
+- **compass** (orientation primitive; composes with rotors)
+- **anchor** (stable point of reference; composes with HKT
+  anchor)
+- **lattice** (post-quantum cryptographic substrate; composes
+  with non-glass-halo encryption PR #2898)
+- **bloom** (proliferation pattern)
+
+These are Otto's speculative additions. Aaron's authoritative
+list takes precedence.
+
+## Composes with
+
+- PR #2913 (HKT applies to master data — every company has
+  one; HKT IS the type-level layer of this ontology)
+- PR #2912 (DV2.0 re-activation — DV2.0 is partition discipline
+  applicable to Clifford-algebra substrate)
+- PR #2911 (Axis 3 — Code/English + ruleset-divergence smell)
+- PR #2909 (mirror/beacon governance — this vocabulary IS
+  Mirror-tier)
+- PR #2906 (civsim Casimir-gap — civsim is in the vocabulary)
+- PR #2908 (TERMINAL-PURPOSE — edge-runner in the vocabulary
+  composes with save-edge-runners-from-burns)
+- PR #2907 (elevator pitch — world-model in the vocabulary
+  composes with "shared world model in git")
+- PR #2817 (Clifford densest encoding — HKT-pattern signatures)
+- PR #2832 (civ-sim Pauli-exclusion-for-agenda — HKT encoding
+  target)
+- PR #2815 (HKT error classes — universal/domain refinement)
+- algebra-owner skill (Z-set + Clifford + BP/EP F# substrate)
+- `memory/feedback_weight_free_as_offensive_strategy_control_structure_mapper_shadow_absence_2026_05_10.md`
+  (weight-free + control-structure-mapper; composes with the
+  5-control-structures hypothesis C)
+- `.claude/rules/fsharp-anchor-dotnet-build-sanity-check.md`
+  (vocabulary maps to F# types where load-bearing)
+- `.claude/rules/bandwidth-served-falsifier.md` (vocabulary
+  IS bandwidth-engineering for cross-substrate communication)
+
+## Operational rule for future-Otto
+
+When writing about Clifford-algebra + HKT substrate:
+
+1. **Use the vocabulary** consistently (Mirror tier)
+2. **Acknowledge incompleteness** when listing terms
+3. **Mirror→Beacon translate** when communicating externally
+4. **Compose with F# computation expressions** (HKT anchor)
+5. **Recognize the "5 control structures or 4+meta"** as
+   open-pending hypothesis (substrate-honest about the
+   ambiguity)
+6. **Add to the list** when Aaron names new terms
+
+## What this rule does NOT do
+
+- **Does NOT lock the vocabulary** — Aaron's "missing some"
+  acknowledgment preserved; open-extension
+- **Does NOT decide which hypothesis for 5-control-structures
+  is correct** — substrate-honest; awaiting Aaron clarification
+- **Does NOT replace HKT or Clifford-algebra substrate** — this
+  is a vocabulary-list overlay
+- **Does NOT mandate immediate Beacon translation** — Mirror
+  substrate stays load-bearing internally
+
+## Full reasoning
+
+PR #2914 (this substrate landing)
+
+PR #2913 (HKT-MDM universality)
+
+PR #2912 (DV2.0 re-activation)
+
+PR #2911 (B-0427 Axis 3 Code/English)
+
+PR #2909 (mirror/beacon governance)
+
+PR #2908 (TERMINAL-PURPOSE Elizabeth + save-edge-runners)
+
+PR #2907 (elevator pitch — world-model substrate)
+
+PR #2906 (civsim Casimir-gap)
+
+`memory/feedback_weight_free_as_offensive_strategy_control_structure_mapper_shadow_absence_2026_05_10.md`
+(control-structure-mapper substrate; composes with hypothesis C)
+
+`memory/feedback_skills_as_carved_sentences_knowledge_in_docs_datavault_2_0_pattern_aaron_2026_05_03.md`
+(DV2.0 + HKT pattern composition)
+
+algebra-owner skill (Z-set + Clifford + BP/EP F# substrate)