UNNS Grammar & Selection Laboratory

Chambers XLI–XLIV · Structural Permission Probes · Grammar Mutation Series

Local Selection Mechanisms Grammar Closure Theorem 2×3 Factorial Design UNNS Research Collective (2025)

The Grammar & Selection series systematically probes whether utility islands can emerge through local grammar manipulation within recursive operator algebras. Beginning with structural baselines (XLI, XLI-B), the sequence tests state collapse (XLII), and parameter mutation (XLIII) under identical selection pressure. Results establish a structural closure theorem: permission is not negotiated at the compositional adjacency layer.

🧬 Integrated Grammar Mutation Array

Chambers XLI–XLIII operating in synchronized validation mode — Grammar Closure Series v1.0

Grammar Series v1.0.0

Series Synopsis: Grammar Closure Theorem

This chamber sequence establishes that utility emergence cannot be unlocked through local grammar manipulation within the {τ, σ, κ, ρ} operator algebra, even under selection pressure (contraction gates, memory binding). The systematic negative across four mutation types demonstrates that permission is a structural property, not a compositional one.

Result: State collapse (ω), parameter biasing (μ), and topology rewrites (ν) all fail to unlock utility islands. G∘ remains subcritical (<5%) across all variants despite persistent entropy reduction, topology enforcement, and biased recursion. The substrate ignores local permission changes.

Structural Permission Probe

Baseline chamber establishing that motif chains (M₂→M₁) with selection gates (S₃) produce stable projection (~70%) but zero utility. Demonstrates substrate saturation: adding operators without structural asymmetry cannot unlock islands. Establishes the permission baseline for grammar mutation tests.

Motifs: M₂→M₁ | Gates: S₃ (contraction/memory) | Seeds: 300

Grammar Extension Baseline

Extends XLI with Ω/ω operators to test whether mode accumulation and collapse mechanisms can break through the permission barrier. Introduces mode bins (K=8), entropy tracking, and collapse operators. Result: machinery activates correctly but utility remains locked at zero. Establishes that observer-style operators require more than state reduction.

Extensions: Ω (mode accumulation), ω (state collapse) | Factorial: 2×3

Chamber XLII v1.2

Observer-Grammar Selection

Tests whether state collapse under selection pressure can unlock utility. ω operator collapses mode plurality to single eigenstates (random or guided), reducing entropy by 1–1.6 bits. Result: H₇ rejected. Collapse is real and persistent, but substrate ignores it. Utility potential rises slightly (~2%) but never realizes. First decisive negative in the series.

Hypothesis: H₇ (Observer-Grammar) | Status: FALSIFIED | ρ suppression confirmed

✗ H₇ FALSIFIED (diagnostic: non-activation)

Chamber XLIII v1.0.1

Grammar-Mutating Selection

Tests whether parameter mutation (biasing operator coefficients) can unlock utility. μ operator fires post-collapse, applying random or history-conditioned biases to {τ, σ, κ, ρ}. Result: H₉ rejected. Biases apply persistently (τ boosted to 1.15, others scaled to 0.95), but substrate is indifferent. Second systematic negative: grammar changes execute but permission ignores them.

Hypothesis: H₉ (Grammar Mutation) | Status: FALSIFIED | μ variants: random (μᵣ), guided (μᵍ)

✗ H₉ FALSIFIED (systematic: substrate indifference)