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
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
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
# 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.