Splitmixternary Opine

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

(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

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

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

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

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 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."

SDF Interleaving

This skill connects to Software Design for Flexibility (Hanson & Sussman, 2021):

Primary Chapter: 2. Domain-Specific Languages

Concepts: DSL, wrapper, pattern-directed, embedding

GF(3) Balanced Triad

splitmixternary-opine (−) + SDF.Ch2 (−) + [balancer] (−) = 0

Skill Trit: -1 (MINUS - verification)

Connection Pattern

DSLs embed domain knowledge. This skill defines domain-specific operations.