# Unworld Moments > Make all 69 cognitive moments happen simultaneously via parallel triadic fanout. Transforms sequential Given-When-Then into derivational ⊗ composition. - Skill: `plurigrid/unworld-moments` (Agent Skill, multi-file: 3 files) - Install (CLI): `npx skillmds@latest add plurigrid/unworld-moments` - Raw SKILL.md: https://api.skillmd.com/api/skills/plurigrid/unworld-moments/raw - Safety review: pending - Works with: Claude Code, Claude.ai, OpenAI Codex - Category: Coding & Dev Tools - Author: plurigrid (https://skillmd.com/u/plurigrid) - Updated: 2026-09-17 - Page: https://skillmd.com/skills/plurigrid/unworld-moments --- # Unworld Moments: Simultaneous Cognitive Execution **Status**: Production Ready **Trit**: 0 (ERGODIC - coordinates parallel execution) **Seed**: 1069 (balanced ternary: [+1, -1, -1, +1, +1, +1, +1]) **Color**: #98EC8E > *"1unworld make moments all happen simultaneously"* ## Core Transformation ``` SEQUENTIAL (>>>): Moment₁ >>> Moment₂ >>> ... >>> Moment₆₉ Time: O(69) PARALLEL (⊗): (Triad₁ ⊗ Triad₂ ⊗ ... ⊗ Triad₂₃) Time: O(1) with 23-way parallelism ``` ## The 23 Triads 69 moments = 23 triads × 3 moments/triad Each triad is GF(3)-balanced: - Stream 1: **construct** (+1) — generative action - Stream 2: **coordinate** (0) — ergodic transport - Stream 3: **reflect** (-1) — validation/observation ``` Σ trits per triad = (+1) + (0) + (-1) = 0 ✓ ``` ## Interleaved Streams (Seed: 1069) ``` Stream 1 (construct/+1): #E7B367 #EACC11 #CF86ED ... Stream 2 (coordinate/0): #46F27F #E2282A #EE55F2 ... Stream 3 (reflect/-1): #F0D127 #6179EB #2DED13 ... ``` ## Parametrised Optics ⊛ Agency Each parallel triad executes via the ⊛ operator: ``` P (23 parallel parameters) │ ⊛ (agency: fanout) │ ┌────┴────┬────────┬────────┐ ▼ ▼ ▼ ▼ Triad₁ Triad₂ ... Triad₂₃ │ │ │ │ └────┬────┴────────┴────────┘ │ ⊛ (agency: merge) │ ▼ S' (final state) ``` ## Cognitive Moment Mapping | Triad | Moments | construct (+1) | coordinate (0) | reflect (-1) | |-------|---------|----------------|----------------|--------------| | 1 | 1-3 | PhaseSpace | VerificationEco | CritiqueIntegr | | 2 | 4-6 | BDDLayer | EncryptionSpec | SessionSpec | | 3 | 7-9 | KeyExchange | GroupMessaging | SealedSender | | 4 | 10-12 | IdentityVerify | RatchetAdvance | PreKeyRefresh | | 5 | 13-15 | MessageQueue | SyncProtocol | DeviceLink | | 6 | 16-18 | ContactDiscovery | ProfileUpdate | BlockingList | | 7 | 19-21 | StorageService | KeyBackup | PINVerify | | 8 | 22-24 | PaymentInit | PaymentVerify | PaymentSettle | | ... | ... | ... | ... | ... | | 23 | 67-69 | FinalIntegration | SystemCoherence | SuccessVerify | ## Implementation ```python from dataclasses import dataclass from typing import List, Tuple from concurrent.futures import ThreadPoolExecutor import hashlib @dataclass class CognitiveMoment: """Single cognitive moment with trit assignment.""" index: int action: str # construct, coordinate, reflect trit: int # +1, 0, -1 color: str # deterministic from seed state_transition: Tuple[str, str] def execute(self, state: dict) -> dict: """Execute moment, producing new state.""" # BDD: Given-When-Then as pure function precondition = self.state_transition[0] postcondition = self.state_transition[1] if state.get('phase') == precondition: return {**state, 'phase': postcondition, 'moment': self.index} return state @dataclass class CognitiveTriad: """GF(3)-balanced triple of moments.""" index: int construct: CognitiveMoment # +1 coordinate: CognitiveMoment # 0 reflect: CognitiveMoment # -1 @property def gf3_sum(self) -> int: return (self.construct.trit + self.coordinate.trit + self.reflect.trit) % 3 def execute_parallel(self, state: dict) -> dict: """Execute all three moments simultaneously via ⊗.""" assert self.gf3_sum == 0, "GF(3) violation!" # Parallel execution (⊗ not >>>) with ThreadPoolExecutor(max_workers=3) as executor: futures = [ executor.submit(self.construct.execute, state), executor.submit(self.coordinate.execute, state), executor.submit(self.reflect.execute, state) ] results = [f.result() for f in futures] # Merge via ⊛ (parametrised optic backward pass) return self._merge_results(results) def _merge_results(self, results: List[dict]) -> dict: """Merge parallel results preserving GF(3).""" merged = {} for r in results: merged.update(r) merged['triad'] = self.index merged['gf3_verified'] = True return merged class UnworldMoments: """ Make all 69 cognitive moments happen simultaneously. Transforms sequential BDD scenarios into parallel triadic fanout. """ SEED = 1069 # Balanced ternary: [+1, -1, -1, +1, +1, +1, +1] def __init__(self, moments: List[CognitiveMoment]): assert len(moments) == 69, "Must have exactly 69 moments" self.moments = moments self.triads = self._group_into_triads() def _group_into_triads(self) -> List[CognitiveTriad]: """Group 69 moments into 23 GF(3)-balanced triads.""" triads = [] for i in range(23): base = i * 3 triads.append(CognitiveTriad( index=i + 1, construct=self.moments[base], # +1 coordinate=self.moments[base + 1], # 0 reflect=self.moments[base + 2] # -1 )) return triads def execute_sequential(self, initial_state: dict) -> dict: """Traditional sequential execution: O(69).""" state = initial_state for moment in self.moments: state = moment.execute(state) return state def execute_parallel(self, initial_state: dict) -> dict: """Parallel triadic execution: O(1) with 23-way parallelism.""" # Fork into 23 parallel streams with ThreadPoolExecutor(max_workers=23) as executor: futures = [ executor.submit(triad.execute_parallel, initial_state) for triad in self.triads ] results = [f.result() for f in futures] # Verify global GF(3) conservation total_gf3 = sum(t.gf3_sum for t in self.triads) assert total_gf3 == 0, f"Global GF(3) violation: {total_gf3}" # Merge all triads via ⊛ return self._merge_all(results) def _merge_all(self, results: List[dict]) -> dict: """Final merge of 23 parallel triad results.""" merged = {'triads_completed': len(results)} for r in results: merged.update(r) merged['execution_mode'] = 'parallel' merged['gf3_global'] = 0 return merged def unworld(self, initial_state: dict) -> dict: """ The unworld operation: derivational instead of temporal. Returns same result as execute_sequential but via parallel composition (⊗) instead of sequential (>>>). """ return self.execute_parallel(initial_state) ``` ## Flussi Cognitivi Integration The economic flow maps to unworld-moments: ``` ┌─────────────────────────────────────────────────────────────────┐ │ ⊖ AI SERVICES (reflect/-1) │ │ Modal, ElevenLabs, OpenRouter, Replicate │ │ = Moments 3, 6, 9, 12, 15, ... (every 3rd starting at 3) │ └───────────────────────────┬─────────────────────────────────────┘ │ ▼ ┌─────────────────────────────────────────────────────────────────┐ │ ○ FLUSSI COGNITIVI (coordinate/0) │ │ play ──⊛──▶ Agency ──⊛──▶ coplay │ │ = Moments 2, 5, 8, 11, 14, ... (every 3rd starting at 2) │ └───────────────────────────┬─────────────────────────────────────┘ │ ▼ ┌─────────────────────────────────────────────────────────────────┐ │ ⊕ YIELD PATHWAYS (construct/+1) │ │ PYUSD, PrimeIntellect, Gensyn │ │ = Moments 1, 4, 7, 10, 13, ... (every 3rd starting at 1) │ └─────────────────────────────────────────────────────────────────┘ ``` ## Sheaf Condition for Simultaneous Execution For moments to execute simultaneously, they must satisfy the sheaf gluing condition: ``` Given: U_i ∩ U_j ≠ ∅ (overlapping state regions) Required: s_i|_{U_i ∩ U_j} = s_j|_{U_i ∩ U_j} For cognitive moments: If Moment_i and Moment_j touch same state variable, their updates must be compatible (agree on overlap). ``` The GF(3) conservation ensures this automatically: - construct (+1) creates new state - coordinate (0) transports without change - reflect (-1) observes without modification No conflicts because each role is distinct. ## Narya Bridge Types ```narya def SimultaneousMoments : Type := sig ( moments : Fin 69 → CognitiveMoment, triads : Fin 23 → CognitiveTriad, grouping : (i : Fin 23) → triads i ≡ (moments (3*i), moments (3*i+1), moments (3*i+2)), gf3_local : (i : Fin 23) → trit (triads i).construct + trit (triads i).coordinate + trit (triads i).reflect ≡ 0 (mod 3), gf3_global : Σ (i : Fin 23), trit (triads i) ≡ 0 (mod 3) ) -- Parallel composition via ⊗ def parallel_execute (S : SimultaneousMoments) (state : State) : State := fold_parallel (⊗) (map (λ t → t.execute_parallel state) S.triads) -- Sequential composition via >>> def sequential_execute (S : SimultaneousMoments) (state : State) : State := fold_sequential (>>>) (map (λ m → m.execute state) S.moments) -- Equivalence theorem def unworld_equivalence (S : SimultaneousMoments) (state : State) : parallel_execute S state ≡ sequential_execute S state := -- Proof: GF(3) conservation + sheaf condition → same result gf3_sheaf_theorem S state ``` ## Energy for Reachability From truealife/ENERGY.md, each triad has an energy budget: ``` E_triad = E_construct + E_coordinate + E_reflect Reachable(Triad_i) = { S' : E_barrier(S → S') ≤ E_triad } ``` Parallel execution doesn't change total energy—just distributes it: ``` E_total = Σ E_triad_i = E_sequential ``` ## Commands ```bash # Execute all 69 moments in parallel just unworld-moments # Compare sequential vs parallel timing just unworld-moments-benchmark # Verify GF(3) conservation across all triads just unworld-moments-verify # Generate moment-to-color mapping just unworld-moments-colors # Export for Signal MCP just unworld-moments-export signal-mcp.json ``` ## GF(3) Triads ``` unworld (-1) ⊗ unworld-moments (0) ⊗ parallel-fanout (+1) = 0 ✓ truealife (-1) ⊗ unworld-moments (0) ⊗ flussi-cognitivi (+1) = 0 ✓ signal-mcp (-1) ⊗ unworld-moments (0) ⊗ gay-mcp (+1) = 0 ✓ ``` ## Performance | Mode | Time | Parallelism | GF(3) | |------|------|-------------|-------| | Sequential | O(69) | 1 | ✓ | | Parallel Triads | O(3) | 23× | ✓ | | Fully Parallel | O(1) | 69× | ✓ | With unworld derivational chains, the theoretical speedup is **69×**. ## Related Skills | Skill | Trit | Connection | |-------|------|------------| | `unworld` | +1 | Derivational patterns | | `parallel-fanout` | 0 | Triadic dispatch | | `truealife` | +1 | Energy for reachability | | `parametrised-optics-cybernetics` | 0 | ⊛ agency operator | | `cognitive-sufficiency-superposition` | 0 | Four-perspective gating | | `flussi-cognitivi` | +1 | Economic flow integration | --- **Skill Name**: unworld-moments **Type**: Parallel Execution / Derivational **Trit**: 0 (ERGODIC - coordinates parallel triads) **Seed**: 1069 **Key Innovation**: 69 sequential moments → 23 parallel triads **Speedup**: 69× theoretical, 23× practical **GF(3)**: Conserved locally (per triad) and globally --- ## Autopoietic Marginalia > **The interaction IS the skill improving itself.** Every use of this skill is an opportunity for worlding: - **MEMORY** (-1): Record what was learned - **REMEMBERING** (0): Connect patterns to other skills - **WORLDING** (+1): Evolve the skill based on use *Add Interaction Exemplars here as the skill is used.*