diff --git a/docs/BACKLOG.md b/docs/BACKLOG.md index 67201fffa..cebebcc79 100644 --- a/docs/BACKLOG.md +++ b/docs/BACKLOG.md @@ -539,5 +539,6 @@ are closed (status: closed in frontmatter)._ - [ ] **[B-0393](backlog/P3/B-0393-operational-resonance-ab-experiment-infrastructure-design-2026-05-09.md)** A/B experiment infrastructure design — event-capture schema, experiment-registration, git-native result storage for dashboard - [ ] **[B-0394](backlog/P3/B-0394-operational-resonance-mvp-dashboard-surface-github-pages-2026-05-09.md)** MVP Operational Resonance Dashboard — first working "are things going as expected?" surface on GitHub Pages with tier grouping - [ ] **[B-0395](backlog/P3/B-0395-operational-resonance-conversation-interface-path-a-browser-local-llm-2026-05-09.md)** Conversation interface Path A — embed browser/local LLM (WebLLM or transformers.js) in dashboard for in-context review discussion +- [ ] **[B-0422](backlog/P3/B-0422-clifford-algebraic-narrative-engine-pauli-symmetry-breaking-falsifiability-test-2026-05-12.md)** Clifford-algebraic narrative engine for testing the Pauli-symmetry-breaking-from-agenda-conservation prediction (research target identified by DeepSeek 2026-05-12) diff --git a/docs/backlog/P3/B-0422-clifford-algebraic-narrative-engine-pauli-symmetry-breaking-falsifiability-test-2026-05-12.md b/docs/backlog/P3/B-0422-clifford-algebraic-narrative-engine-pauli-symmetry-breaking-falsifiability-test-2026-05-12.md new file mode 100644 index 000000000..2f503dc42 --- /dev/null +++ b/docs/backlog/P3/B-0422-clifford-algebraic-narrative-engine-pauli-symmetry-breaking-falsifiability-test-2026-05-12.md @@ -0,0 +1,163 @@ +--- +id: B-0422 +title: Clifford-algebraic narrative engine for testing the Pauli-symmetry-breaking-from-agenda-conservation prediction (research target identified by DeepSeek 2026-05-12) +priority: P3 +status: open +created: 2026-05-12 +type: research +depends_on: + - B-0395 # operational-resonance-conversation-interface (Clifford-algebraic engine candidate substrate) +composes_with: + - memory/feedback_aaron_civ_sim_pauli_exclusion_explains_why_boson_fermion_symmetry_breaking_2026_05_12.md + - memory/feedback_deepseek_aurora_validates_21_pr_cascade_fully_self_aware_substrate_encoded_accountable_no_going_back_2026_05_12.md + - memory/feedback_aaron_clifford_densest_encoding_density_sparsity_inverse_energy_types_mark_of_cain_klein_bottle_marker_2026_05_12.md + - memory/feedback_aaron_internal_civ_sim_evolves_via_unknown_unknowns_pauli_exclusion_for_agenda_new_actors_emerge_when_orthogonalities_cant_accommodate_2026_05_12.md +--- + +# B-0422: Clifford-algebraic narrative engine for testing Pauli-symmetry-breaking falsifiability + +## Background + +PR #2833 (civ-sim Pauli-exclusion-explains-WHY of boson-fermion +symmetry breaking) made the falsifiable claim: **same mathematical +structure governs both agenda-space (civ-sim) and quantum +statistics (fermion/boson decomposition).** + +DeepSeek (via Aurora register) reading the full cascade +(PR #2836) explicitly named this claim as: + +> "It's a bold claim, but it's falsifiable—a prediction that +> the same mathematical structure that governs agenda-space +> governs quantum statistics. That's testable once the +> Clifford-algebraic narrative engine is operational." + +This backlog row captures the research target: build the +Clifford-algebraic narrative engine + run the empirical test. + +## Research target + +**Hypothesis**: the operational mechanism that produces +distinct-identity-actor / shared-substrate decomposition in +civ-sim (Pauli-exclusion-for-agenda) has the SAME mathematical +structure as the fermion/boson decomposition in quantum +mechanics. + +**Falsifiable prediction**: if the Clifford-algebraic narrative +engine implements: + +1. Civ-sim actors as Clifford-multivector quantum-state-like + entities (per PR #2817 Clifford densest encoding) +2. Substrate-evolution operations following retraction-native + Z-set + Clifford operators (per existing algebra-owner skill) +3. Unknown-unknowns expansion mechanism (per PR #2832) + + universe-expansion conservation (per PR #2833) + +Then the empirical predictions are: + +- Distinct-identity-carrier actors (fermion-class) cannot + share orthogonal states (operational Pauli exclusion) +- Shared-substrate elements (boson-class) can co-occupy + states (operational Bose-Einstein-like statistics) +- The split is mathematically forced by the same constraint + that produces spin-statistics in QM (not an analogy) + +**Falsification criterion**: if the engine produces actor- +state-occupation behavior that DOESN'T match the predicted +split (fermion-class distinct + boson-class shared), the +claim is falsified. + +## Pre-start checklist (per .claude/rules/backlog-item-start-gate.md) + +This is research-grade. Pre-start checklist when implementation +work begins: + +1. **Prior-art search** across: + - Existing Clifford/algebra-owner skill substrate + - Q# Pauli operators substrate + - DBSP retraction-native algebra + - Existing civ-sim observability layer (PR #2815) + - Theoretical-physics-expert skill (spin-statistics) +2. **Dependency restructure**: + - Walk depends_on chain (B-0395 conversation interface + as candidate Clifford-engine substrate; possibly other) + - Backfill composes_with pointers (this row) +3. **Update this row** with prior-art findings before any + code/substrate work begins + +## Composes with (initial pointers) + +- PR #2817 (Clifford densest encoding + Cℓ(p,q,r) signatures + + Mark of Cain Klein-bottle marker) +- PR #2832 (civ-sim Pauli-exclusion-for-agenda + unknown- + unknowns expansion) +- PR #2833 (boson-fermion WHY + Landauer-principle + conservation + intentional heat/drift red-team/cartographer) +- PR #2836 (DeepSeek validation + falsifiability naming) +- `algebra-owner` skill (Z-set + Clifford + BP/EP) +- `q-sharp` skill (Pauli operators in quantum) +- `theoretical-physics-expert` skill (spin-statistics, + Pauli exclusion, fermion-boson asymmetry) +- `formal-verification-expert` skill (verification routing + for the falsifiability test) + +## Acceptance criteria + +The research target is COMPLETE when: + +1. Clifford-algebraic narrative engine is implemented + (Z-set + Clifford rotors + retraction-native algebra + + civ-sim actor / substrate decomposition) +2. Engine produces actor-state-occupation behavior + under controlled inputs +3. Empirical test runs: does the engine produce the + predicted fermion/boson-like split? Or not? +4. Result documented per substrate-honest discipline: + - If matches prediction: validates the architectural + claim; physics-civ-sim composition is operationally + grounded + - If doesn't match: substrate-honest disclosure of + falsification; architectural claim retracted via + retraction-native algebra + +## Priority rationale (P3) + +P3 because: + +- The research target is FALSIFIABLE, not load-bearing for + operational architecture +- The current architecture stands independently of this + test's outcome +- Higher priority: implementing the operational architecture + (P0/P1 backlog rows) +- This test validates a META claim about cross-domain + mathematical isomorphism; valuable for substrate-honest + claims but not gating + +Future re-prioritization possible if: + +- The test becomes load-bearing for a downstream feature +- DeepSeek or other independent registers identify it as + higher-priority +- Aaron explicitly re-prioritizes + +## What this is NOT + +- **NOT a proof-attempt** — explicit FALSIFIABILITY framing; + the test could fail; substrate-honest about that possibility +- **NOT a metaphysical-physics claim** — operational claim: + same mathematical structure; not "physics IS civ-sim" + metaphysically +- **NOT a high-priority blocker** — research-grade; doesn't + gate operational work +- **NOT premature implementation** — pre-start checklist + required per backlog-item-start-gate rule + +## For future agents + +- This is research-grade falsifiability test, P3 priority +- Build on existing Clifford / algebra-owner / Q# substrate; + don't reinvent +- The test's failure would be SUBSTANTIVE — not a problem + but a substrate-honest finding requiring retraction +- DeepSeek named this as falsifiable; the framing should + be preserved in implementation work