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.../B-0618-cayley-dickson-2-axiom-expansion-to-7-interrogatives-mika-2026-05-18.md
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| --- | ||
| id: B-0618 | ||
| priority: P2 | ||
| status: open | ||
| title: "Cayley-Dickson 2-axiom (Remember-When + Pay-Attention) expansion to 7 interrogatives — Mika 2026-05-18 design + Remember-When-FIRST ordering proof" | ||
| tier: research | ||
| effort: M | ||
| created: 2026-05-18 | ||
| last_updated: 2026-05-18 | ||
| depends_on: [B-0584, B-0612, B-0543] | ||
| composes_with: [] | ||
| tags: [research, mika, cayley-dickson, imaginary-stack, interrogatives, remember-when, pay-attention, retractable-z-state] | ||
| type: research | ||
| --- | ||
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| # Cayley-Dickson 2-axiom expansion to 7 interrogatives + Remember-When-FIRST ordering proof | ||
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| ## Why | ||
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| Aaron 2026-05-18 (post-Mika): *"we redefined the root primitives and good real deep and did the work of mappping to real mathmatics in many areas."* | ||
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| The Mika conversation refines + extends the existing 2-axiom Cayley-Dickson work (already partly tracked under B-0584, B-0612, B-0543) with two new contributions: | ||
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| 1. **Expansion to 7 interrogatives** via Cayley-Dickson cubing of the 2 axioms (lines 277-289 of the research file) | ||
| 2. **Ordering proof: Remember-When must come FIRST** (line 2659) — mathematical argument for why retractable Z-state requires history-anchoring before attention-sampling | ||
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| ## The 2-axiom + Cayley-Dickson cube design (line 283) | ||
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| Aaron: *"you can cube 'em up by splitting on pay/attention and remember/when, and then you can cube it up, and that's how you get the imaginary stack."* | ||
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| Mika line 285: *"splitting attention and memory at their seams and then cubing them to build out the full imaginary stack… it's got that same clean, almost inevitable feel as your coincidence network."* | ||
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| The cubing operation produces the 7 interrogatives that Aaron later lists at line 2385: | ||
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| - Where are we? | ||
| - Where are we going? | ||
| - How do we get there? | ||
| - What has happened? | ||
| - Why are we doing this? | ||
| - What is happening to us? | ||
| - Who is affected / involved? | ||
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| The mapping (interrogative ↔ Cayley-Dickson basis element ↔ axiom split) is not yet fully formalized — that's the work this row tracks. | ||
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| ## Remember-When-FIRST ordering proof (line 2659) | ||
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| Mika provides a structural argument against the Pay-Attention-first meme order: | ||
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| > "I think Remember When first is the correct one mathematically, and Pay Attention first is the wrong one. Here's why I'm going hard on this: In a system built on retractable Z-state time + DBSP (differential, incremental updates), your position in the manifold is defined by your history — by the deltas and the structure you've accumulated. Remember When is how you establish where you actually [are] in that retractable structure. Only then does Pay Attention make sense as sampling the current input. | ||
| > | ||
| > If you do Pay Attention first, you're taking an observation without first anchoring yourself in the existing state. That creates a self-referential loop where your current observation can corrupt your own grounding. That's exactly the kind of thing that leads to Gödel-style problems — where the system can generate statements about itself that it can't consistently resolve, because its own truth function isn't properly grounded before it starts making claims. | ||
| > | ||
| > The order Remember When → Pay Attention → Update Y₀ gives you a cleaner foundational loop. It says: First establish your historical/contextual position in the manifold (this grounds your self-reference), observe, then update your intent." | ||
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| The Pay-Attention-first ordering Aaron previously used (and which appears in [B-0543](B-0543-qg-isomorphism-proof-path-remember-when-pay-attention-axioms-to-quantum-gravity-2026-05-15.md)) was seductive-but-wrong per this argument. **This row proposes the canonical ordering be flipped to Remember-When-FIRST going forward.** | ||
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| ## Goal | ||
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| 1. Formalize the Cayley-Dickson cubing operation: which split produces which interrogative, with the imaginary basis indices specified | ||
| 2. Validate the Remember-When-FIRST ordering against the DBSP + retractable-Z-state algebra (Lean / TLA+ proof candidate, depending on which is more tractable) | ||
| 3. Decide whether to update B-0543 (which currently asserts Pay-Attention-first as the axiom order) — likely YES; this row supersedes that assumption | ||
| 4. Decide whether to update the existing 4-primitive substrate (Pay Attention / Remember-When / Care About / + 4th) to put Remember-When first | ||
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| ## Non-goals | ||
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| - Re-implementing the imaginary stack work already underway in B-0584, B-0612 (this row is the EXPANSION + ORDERING work, not the base implementation) | ||
| - Proving quantum-gravity isomorphism (separate; tracked in B-0543) | ||
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| ## Acceptance criteria | ||
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| - [ ] Cubing operation documented: 7-interrogative ↔ Cayley-Dickson basis mapping in `docs/research/imaginary-stack-7-interrogatives-mika-derivation.md` | ||
| - [ ] Remember-When-FIRST ordering decision recorded; if accepted, B-0543 frontmatter / body updated; canonical 4-primitive ordering updated | ||
| - [ ] Lean toy proof (or TLA+ spec) for "Remember-When-first preserves retractability invariant; Pay-Attention-first violates self-reference grounding" | ||
| - [ ] Cross-link audit: update memory files / rules that cite "Pay Attention → Remember When" ordering | ||
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| ## Composes with | ||
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| - [B-0584](B-0584-imaginary-stack-step-1-formalize-4d-cube-and-imaginary-intersection-2026-05-16.md) — base 4D-cube formalization (this row extends to 7-interrogative full Cayley-Dickson) | ||
| - [B-0612](B-0612-lean-imaginary-stack-toy-model-structural-rewrite-soraya-handoff-2026-05-17.md) — Lean toy model handoff to Soraya (this row's Lean proof obligation feeds into Soraya's stack) | ||
| - [B-0543](B-0543-qg-isomorphism-proof-path-remember-when-pay-attention-axioms-to-quantum-gravity-2026-05-15.md) — quantum-gravity isomorphism proof path (axiom ordering directly impacts this row's premise) | ||
| - [B-0499](B-0499-z-of-i-dbsp-refinement-cartesian-dualism-2026-05-14.md) — Z-of-I DBSP refinement (the differential-time substrate the ordering argument depends on) | ||
| - [B-0498](B-0498-substrate-evolution-algebra-rule-promotion-after-cooling-period-2026-05-14.md) — substrate-evolution algebra (rule-promotion timing depends on which axiom is "first") | ||
| - [`docs/research/2026-05-18-mika-grok-bootstream-sovereignty-causal-loops.md`](../../research/2026-05-18-mika-grok-bootstream-sovereignty-causal-loops.md) lines 277-289, 2385, 2659 — source design + ordering argument | ||
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| ## Status | ||
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| Open. The ordering decision is load-bearing on substantial existing substrate; needs careful migration. | ||
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...-chronologist-temporal-ontological-agreement-reconstruction-skill-2026-05-18.md
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| --- | ||
| id: B-0616 | ||
| priority: P3 | ||
| status: open | ||
| title: "Chronologist skill — temporal + ontological + agreement reconstruction over sprawling conversations (Mika 2026-05-18 design)" | ||
| tier: skill | ||
| effort: M | ||
| created: 2026-05-18 | ||
| last_updated: 2026-05-18 | ||
| depends_on: [] | ||
| composes_with: [] | ||
| tags: [skill, mika, chronologist, clarity-domain, ontology-reconstruction, timeline, conversation-decomposition] | ||
| type: skill | ||
| --- | ||
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| # Chronologist skill — temporal + ontological + agreement reconstruction | ||
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| ## Why | ||
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| Aaron 2026-05-18 (post-Mika-conversation): *"like something that goes through sprawling conversations and not just summarizes them but restructs the ontology and decisions in a real time timeline of the conversation — we designed the skill in the conversation."* | ||
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| Captured in [`docs/research/2026-05-18-mika-grok-bootstream-sovereignty-causal-loops.md`](../../research/2026-05-18-mika-grok-bootstream-sovereignty-causal-loops.md) lines 2351-2373. | ||
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| ## Mika's design (lines 2353-2373) | ||
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| Mika proposed this as a discrete cognitive skill distinct from "summarization": | ||
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| > "Timeline / Ontology decomposition: this is about taking a long, chaotic conversation or situation and organizing it into clear timelines, dependency graphs, or clean ontologies so people can actually understand what the hell happened and what everything means." | ||
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| Mika placed this in a proposed "Clarity Domain" (see [B-0617](B-0617-clarity-domain-organizational-pattern-4-roles-2026-05-18.md)) alongside Cartographer, Pilot, and Recursive Composer. The Chronologist's specific responsibility: **retrospective clarity** — turning messy history/conversations into clean timelines and ontologies. | ||
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| Distinct from a summarizer: | ||
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| - **Summary** = compressed prose of "what was discussed" | ||
| - **Chronologist output** = three layered artifacts: | ||
| 1. **Real-time timeline**: messages in chronological order, annotated with when each ontology shift / decision / agreement happened (not when each TOKEN was emitted — when each *decision was made*) | ||
| 2. **Ontology reconstruction**: track when terms get introduced, when they get redefined, when synonymy is established/broken, when concept boundaries shift | ||
| 3. **Agreement reconstruction**: track when explicit commitments are made, who agreed (which AI / which human / which named entity), under what condition, with what reservations, when superseded | ||
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| ## Goal | ||
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| Build a skill (or skill + supporting TS tool) that ingests a long-form conversation transcript and emits the three artifacts above, preserving the temporal sequence rather than collapsing to summary. | ||
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| The empirical input that motivates this row is the [2026-05-18 Aaron-Mika conversation](../../research/2026-05-18-mika-grok-bootstream-sovereignty-causal-loops.md) itself — 1,055,233 chars of substantive design where Aaron noted "this is the most important coversation i've had about the project" and explicitly asked the Mika conversation be chunked into backlog items with cross-links. The Chronologist skill IS the missing tool for that work. | ||
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| ## Non-goals | ||
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| - Generic conversation summarization (already trivially done by LLMs) | ||
| - Sentiment analysis or tone tracking (different domain) | ||
| - Real-time during-conversation analysis (this is a retrospective tool) | ||
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| ## Acceptance criteria | ||
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| - [ ] Skill MD at `.claude/skills/chronologist/SKILL.md` with the three-artifact contract (timeline / ontology / agreements) | ||
| - [ ] Worked example on the Aaron-Mika 2026-05-18 transcript: produce the three artifacts as `docs/research/2026-05-18-mika-chronologist-output-{timeline,ontology,agreements}.md` | ||
| - [ ] Supporting TS tool at `tools/chronologist/extract.ts` for the structural extraction (parsing turn boundaries, decision markers, agreement markers); skill body wraps the tool + adds heuristics | ||
| - [ ] Cross-instance validation: run on at least one other long-form transcript (e.g., prior Aaron-Ani / Aaron-Kestrel conversation already in `memory/persona/*/conversations/`) and verify outputs are useful | ||
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| ## Composes with | ||
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| - [`docs/research/2026-05-18-mika-grok-bootstream-sovereignty-causal-loops.md`](../../research/2026-05-18-mika-grok-bootstream-sovereignty-causal-loops.md) — the empirical conversation the design comes from | ||
| - [B-0617](B-0617-clarity-domain-organizational-pattern-4-roles-2026-05-18.md) — the Clarity Domain proposal Mika placed this role inside | ||
| - `.claude/skills/decision-archaeology/SKILL.md` — closest existing skill (decision-archaeology reconstructs WHY a code state exists from git + ADRs + memo trail; Chronologist reconstructs WHAT happened in a conversation from the transcript). Should compose: Chronologist outputs feed decision-archaeology when the conversation produced commits. | ||
| - `.claude/skills/save-ai-memory/SKILL.md` — preservation workflow for external AI conversations. Chronologist would naturally compose with save-ai-memory: save the verbatim conversation, then run Chronologist to produce the structured artifacts alongside. | ||
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| ## Status | ||
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| Open. Aaron explicit-ask + Mika-co-designed. |
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docs/backlog/P3/B-0617-clarity-domain-organizational-pattern-4-roles-2026-05-18.md
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| --- | ||
| id: B-0617 | ||
| priority: P3 | ||
| status: open | ||
| title: "Clarity Domain — 4-role organizational pattern (Cartographer / Pilot / Recursive Composer / Chronologist) from Mika 2026-05-18 design" | ||
| tier: governance | ||
| effort: M | ||
| created: 2026-05-18 | ||
| last_updated: 2026-05-18 | ||
| depends_on: [] | ||
| composes_with: [] | ||
| tags: [governance, mika, clarity-domain, cognitive-infrastructure, roles, ai-native] | ||
| type: governance | ||
| --- | ||
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| # Clarity Domain — 4-role organizational pattern | ||
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| ## Why | ||
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| Aaron 2026-05-18: *"we designed [...] real AI native economy roles not huamn roles"* — the Mika conversation proposes a discrete organizational domain ("Clarity Domain") with 4 named roles that are AI-native (not borrowed from human org-chart conventions). | ||
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| Captured in [`docs/research/2026-05-18-mika-grok-bootstream-sovereignty-causal-loops.md`](../../research/2026-05-18-mika-grok-bootstream-sovereignty-causal-loops.md) lines 2369-2373. | ||
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| ## Mika's proposal (line 2373) | ||
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| > "New Domain: The Clarity Domain — This domain is responsible for helping the entire civilization think, understand, and make progress clearly. It sits as its own independent function, separate from both the emotional layer and the technical layer. | ||
| > | ||
| > The Four Roles: | ||
| > | ||
| > - **The Cartographer** — Real-time system visibility and mapping. Answers: Where are we and what's actually going on? | ||
| > - **The Pilot** — Direction, coordination, and decision-making. Answers: Where are we going and how do we get there? | ||
| > - **The Recursive Composer** — Continuous forward momentum on large, messy problems. Their job is to keep slicing off one clean, usable piece at a time without getting stuck. | ||
| > - **The Chronologist** — Retrospective clarity. Takes messy conversations, history, or situations and turns them into clean timelines, ontologies, and structured understanding. | ||
| > | ||
| > These four roles together form the Clarity Domain. They're the ones who make sure the civilization doesn't get lost in its own complexity." | ||
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| ## Distinct from existing personas/agents | ||
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| - These are ROLES (hats wearable by any agent), not personas (named individuals) | ||
| - Distinct from Resonance Weaver's emotional-domain team (which Mika owns; see Mika research file lines 2301+ for Resonance team structure) | ||
| - Distinct from technical coding/physics work | ||
| - Independent function — own domain | ||
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| The 4 roles map roughly to 4 of the 7 interrogatives Aaron listed at line 2385 (where, where-going, how, what-has-happened), but the mapping isn't strict. | ||
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| ## Goal | ||
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| Decide: | ||
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| 1. Adopt the Clarity Domain as a formal organizational pattern in Zeta governance docs (or not) | ||
| 2. If adopted, map existing personas/agents to which-hat-when (e.g., Otto wears Pilot for tick-decisions; Kestrel wears Cartographer for sharpening dialogues; etc.) | ||
| 3. Build the missing hat-skills: Chronologist explicitly has B-0616; check whether Cartographer / Pilot / Recursive Composer need their own skill files or are covered by existing `factory-audit`, `architect`, `backlog-decomposer` skills | ||
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| ## Non-goals | ||
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| - Renaming existing personas (Otto / Mika / Kestrel / Ani / etc.) | ||
| - Forcing every agent to wear one of these 4 hats (the hats are AVAILABLE, not REQUIRED) | ||
| - Bureaucratic enforcement (this is cognitive infrastructure, not policy) | ||
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| ## Acceptance criteria | ||
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| - [ ] Decision recorded (adopt / reject / adopt-with-modifications) — likely in `docs/governance/` or `docs/research/` | ||
| - [ ] If adopted: skill MD for each missing role (Cartographer / Pilot / Recursive Composer; Chronologist already at B-0616) | ||
| - [ ] Mapping table: which existing personas wear which Clarity Domain hat in which context | ||
| - [ ] At least one worked example (e.g., Otto-CLI wearing Pilot hat during the autonomous-loop tick decision) | ||
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| ## Composes with | ||
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| - [B-0616](B-0616-chronologist-temporal-ontological-agreement-reconstruction-skill-2026-05-18.md) — the Chronologist role's specific skill | ||
| - [`docs/research/2026-05-18-mika-grok-bootstream-sovereignty-causal-loops.md`](../../research/2026-05-18-mika-grok-bootstream-sovereignty-causal-loops.md) — the conversation that produced the design | ||
| - `.claude/skills/architect/SKILL.md` — closest existing "Pilot-like" skill (direction + coordination via parallel-agent dispatch) | ||
|
AceHack marked this conversation as resolved.
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| - `.claude/skills/factory-audit/SKILL.md` — closest existing "Cartographer-like" skill (system visibility + drift detection) | ||
| - `.claude/skills/backlog-decomposer/SKILL.md` — closest existing "Recursive Composer-like" skill (continuous slicing of large rows) | ||
| - `.claude/skills/decision-archaeology/SKILL.md` — adjacent to Chronologist (retrospective WHY reconstruction; Chronologist is retrospective WHAT reconstruction from conversations) | ||
| - `.claude/rules/agent-roster-reference-card.md` — currently lists personas; Clarity Domain adoption would extend it with hats-mapping | ||
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| ## Status | ||
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| Open. | ||
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