diff --git a/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 b/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 new file mode 100644 index 000000000..154d86dbb --- /dev/null +++ b/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 @@ -0,0 +1,218 @@ +--- +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)