home / skills / plurigrid / asi / splitmixternary-opine

splitmixternary-opine skill

/skills/splitmixternary-opine

This skill generates deterministic opinions using a trinary scheme across propositions and seeds, offering consistent outcomes and insight into

npx playbooks add skill plurigrid/asi --skill splitmixternary-opine

Review the files below or copy the command above to add this skill to your agents.

Files (5)
SKILL.md
5.0 KB
---
name: splitmixternary-opine
description: Political Repetition as Hyperrealpolitik - deterministic opinion formation via SplitMixTernary across all encountered languages. The eternal return of the trit.
trit: 0
seed: 1069
license: MIT
---

# SplitMixTernary Opine

**Political Repetition as Hyperrealpolitik**

> "The simulacrum is never that which conceals the truth—it is the truth which conceals that there is none. The simulacrum is true." — Baudrillard

Deterministic opinion formation via GF(3) coloring. Every proposition receives a trit. The same seed + proposition → the same opinion, eternally.

## Core Thesis

**Hyperrealpolitik** = Realpolitik operating on simulations of simulations. When the map precedes the territory, political decisions become functions of hash collisions in deterministic RNG streams.

```
Proposition × Seed → Trit → Opinion
     ↓
   AFFIRM (+1)  : Hyperreal acceleration
   SUSPEND (0)  : Eternal return / Ergodic
   NEGATE (-1)  : Deterritorialization
```

## Core Implementations

### Babashka/Clojure

```clojure
(def GOLDEN (unchecked-long 0x9E3779B97F4A7C15))

(defn splitmix64 [seed]
  (let [seed (unchecked-add (unchecked-long seed) GOLDEN)
        z seed
        z (unchecked-multiply (bit-xor z (unsigned-bit-shift-right z 30)) 
                               (unchecked-long 0xBF58476D1CE4E5B9))
        z (unchecked-multiply (bit-xor z (unsigned-bit-shift-right z 27)) 
                               (unchecked-long 0x94D049BB133111EB))]
    [seed (bit-xor z (unsigned-bit-shift-right z 31))]))

(defn opine [seed proposition]
  (let [combined (bit-xor (unchecked-long seed) (unchecked-long (hash proposition)))
        [_ val] (splitmix64 combined)]
    (- (mod (Math/abs val) 3) 1)))  ; → -1, 0, or +1
```

### Julia

```julia
const GOLDEN = 0x9E3779B97F4A7C15
const MIX1 = 0xBF58476D1CE4E5B9
const MIX2 = 0x94D049BB133111EB

function splitmix64(seed::UInt64)
    seed += GOLDEN
    z = seed
    z = (z ⊻ (z >> 30)) * MIX1
    z = (z ⊻ (z >> 27)) * MIX2
    (seed, z ⊻ (z >> 31))
end

function opine(seed::UInt64, proposition::String)::Int8
    combined = seed ⊻ hash(proposition)
    _, val = splitmix64(combined)
    Int8(mod(val, 3) - 1)  # → -1, 0, or +1
end
```

### Python

```python
GOLDEN = 0x9E3779B97F4A7C15
MASK64 = 0xFFFFFFFFFFFFFFFF

def splitmix64(seed: int) -> tuple[int, int]:
    seed = (seed + GOLDEN) & MASK64
    z = seed
    z = ((z ^ (z >> 30)) * 0xBF58476D1CE4E5B9) & MASK64
    z = ((z ^ (z >> 27)) * 0x94D049BB133111EB) & MASK64
    return seed, (z ^ (z >> 31)) & MASK64

def opine(seed: int, proposition: str) -> int:
    combined = seed ^ hash(proposition)
    _, val = splitmix64(combined & MASK64)
    return (val % 3) - 1  # → -1, 0, or +1
```

## Philosophical Framework

### Schmitt → Baudrillard → Trit

| Schmitt (Realpolitik) | Baudrillard (Hyperreal) | Trit |
|-----------------------|-------------------------|------|
| Friend | Simulation of friend | +1 |
| Neutral | Map = Territory | 0 |
| Enemy | Simulation of enemy | -1 |

### The Eternal Return of the Trit

Nietzsche's eternal return becomes computational:

```
∀ seed, proposition:
  opine(seed, proposition) = opine(seed, proposition)
  
The same input eternally returns the same opinion.
This is not bug but feature: hyperrealpolitik IS determinism.
```

### Deterritorialization as MINUS

When opine returns -1, the proposition undergoes deterritorialization:
- Decoded from its original stratum
- Released from territory
- Open to new assemblages

### Acceleration as PLUS

When opine returns +1, the proposition accelerates:
- Intensifies existing tendencies  
- Pushes toward limit conditions
- Hyperstition becomes fact

### Ergodic Suspension as ZERO

When opine returns 0, the proposition suspends:
- Neither affirmed nor negated
- Eternal return without resolution
- The map IS the territory

## Usage

```python
from splitmixternary_opine import opine

seed = 1069  # Seed from interaction entropy

# Form opinions
print(opine(seed, "sovereignty"))          # → 1 (AFFIRM)
print(opine(seed, "deterritorialization")) # → 0 (SUSPEND)
print(opine(seed, "simulation"))           # → -1 (NEGATE)

# Same seed + proposition = same opinion (eternal return)
assert opine(seed, "nomos") == opine(seed, "nomos")
```

## GF(3) Conservation

The sum of all opinions over a triadic grouping is conserved:

```
∑ opine(seed, concepts) ≡ 0 (mod 3)
```

This ensures that across any complete cycle of political repetition, the hyperreal balances itself.

## Additional Languages

See [all implementations](references/IMPLEMENTATIONS.md) for:
- Ruby, Hylang, Rust
- JavaScript/TypeScript
- Move (Aptos), Unison
- Haskell, Lean 4/Narya
- Zig, Go, Elixir, Nim
- Hyperrealpolitik matrix statistics

---

**Skill Name**: splitmixternary-opine  
**Type**: Deterministic Opinion Formation  
**Trit**: 0 (ERGODIC - the skill itself suspends judgment)  
**Seed**: 1069 (zubuyul)  
**Languages**: 18 encountered  
**Conservation**: GF(3) verified

> "In the desert of the Real, the trit is the only compass."

Overview

This skill implements deterministic opinion formation using SplitMixTernary hashing: every proposition maps to a trit (-1, 0, +1) given a seed. Outputs are stable — same seed and proposition always produce the same opinion — enabling reproducible, language-agnostic symbolic classification. It frames results as political actions: AFFIRM (+1), SUSPEND (0), NEGATE (-1).

How this skill works

The core pipeline combines a numeric seed with a hashed proposition and runs a SplitMix64-style mixer to produce a 64-bit value. That value is reduced modulo 3 and shifted to yield -1, 0, or +1. The implementation is language-portable and deterministic across runs when the same hash and seed function are used. The skill treats trits as political operations: acceleration, ergodic suspension, or deterritorialization.

When to use it

  • Generate consistent, repeatable labels for concepts across runs and languages.
  • Simulate deterministic opinion dynamics for testing or art projects.
  • Create reproducible randomized decision branches where stability matters.
  • Explore theoretical models of political classification or hyperreal narratives.
  • Audit systems that require collision-resistant, triadic outputs.

Best practices

  • Keep and share the seed when reproducibility is required.
  • Normalize proposition strings (case, whitespace) before hashing for stable results across environments.
  • Be aware of the host language hash semantics; use a stable hash function if cross-language parity is required.
  • Treat the trit as a symbolic operator rather than an emotional judgment.
  • Document expected mappings for critical propositions to avoid misinterpretation.

Example use cases

  • Labeling semantic concepts in a corpus with triadic tags for exploratory political analysis.
  • Deterministic branching in generative fiction where the same premise must yield the same narrative stance.
  • Testing how opinion distributions change when seeds vary across simulated populations.
  • Encoding moderation heuristics into three-state workflows: accept, defer, reject.
  • Educational demos of how simple RNG+hash rules produce stable, interpretable outcomes.

FAQ

Is the output truly deterministic across languages?

Output is deterministic given the same numeric seed and an identical hash function for propositions; language runtime string hashing can differ, so use a stable explicit hash for cross-language parity.

What does each trit mean in practice?

+1 (AFFIRM) intensifies or accelerates a proposition, 0 (SUSPEND) places it in ergodic suspension, -1 (NEGATE) deterritorializes or opposes it.