Where Ancient Intuition Meets Measurable Structure

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Category: Blog

Published: 22 April 2026

How Structure Selects Dimension: A Phase Space View of Physical Systems

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Category: UNNS Research

Published: 21 April 2026

UNNS Substrate Research Program · April 2026 · Emergent Dimensionality

From Margin to Dimension

Mapping structural regimes across 35 physical systems — from atomic spectra to cosmic web surveys — reveals that the number of active dimensions is not a property of space, but a consequence of how structure is allowed to exist.

The central result: dimensionality is not assumed — it is selected by connectivity margin. A single structural parameter, measurable from any ordered physical sequence, determines which degrees of freedom are accessible and which remain suppressed.

Read the full manuscript: Emergent Dimensionality in the UNNS Substrate

35 Systems · 4 Domains Cosmic Web · Atomic · Crystallographic · Condensed Matter 10 New Theorems Renormalization-like Flow γ Stratification Zero Hard USL Violations

Corpus: 93 datasets · 22,817 evaluations · 11 physical domains Pipeline: UNNS Dimensional Regime Synthesis v1 Instruments: STRUC-I v1.0.4 · STRUC-PERC-I v2.4.1 · unns_scaling_extractor.py

Read more: How Structure Selects Dimension: A Phase Space View of Physical Systems

One Margin, Four Forces: A Structural Account of Interaction Regimes

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Category: UNNS Research

Published: 17 April 2026

UNNS Substrate Research Program · April 2026 · Interaction Unification

Where Structural Margin Shapes Physical Interaction

A single structural parameter — the connectivity margin m(L) — classifies all known physical interactions as asymptotic regimes of one invariant. The diversity of forces is not fundamental. It is the structural footprint of proximity to instability.

📄 Manuscript · PDF Interaction Unification in the UNNS Substrate: All Fundamental Forces as Margin-Regulated Structural Regimes ↗

Connectivity Margin m(L) Four-Regime Classification No Fifth Force Higgs: Derived Coupling 93 Datasets · 22,817 Evaluations Maximum-Margin Principle Cross-Domain Micro-Tests

Status: Working Manuscript · April 2026 Corpus: 93 datasets · 11 physical domains Central object: Connectivity margin m(L) Key result: Zero inter-class transitions across 22,817 evaluations

Read more: One Margin, Four Forces: A Structural Account of Interaction Regimes

The Structural Bridge: How a Single Margin Governs Stability, Capacity, and Phase Behavior Across Physical and Computational Systems

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Category: UNNS Research

Published: 15 April 2026

UNNS Substrate Research Program · April 2026 · Theoretical Unification

One Margin Explains Stability, Capacity, and Change

Connecting Stability, Capacity, and Phase Behavior in the UNNS Substrate — a structural margin reveals why physical systems remain stable under deformation and connects energy-based models, neural networks, and quantum dynamics.

Structural Rigidity · Principle 1 Hopfield Capacity Extension Ising / Spin-Glass Bridge Quantum Annealing 93 Datasets · 22,817 Evaluations Zero Inter-Class Transitions

Status: Working Manuscript · April 2026 Domains: 11 physical domains, atomic to cosmic Central object: Connectivity margin m(L) > 0 Companion: PRP · Dual Observability · Phase Mapping

Read more: The Structural Bridge: How a Single Margin Governs Stability, Capacity, and Phase Behavior Across Ph...

Why Structure Doesn’t Change: Flat Phase Maps and Boundary Regimes in the UNNS Substrate

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Category: UNNS Research

Published: 15 April 2026

UNNS Substrate Research Program · Phase Mapping · April 2026

The Geometry
That Refuses to Break: Mapping the Regimes of Structure

The first systematic deformation study of realizability structure: 22,817 evaluations across 93 datasets and 11 physical domains reveal a locally rigid, boundary-governed structural observable — and expose representation, not deformation, as the dominant structural variable.

📄 Manuscript Bounded Structural Rigidity and Representation-Driven Structure — Full Working Manuscript (PDF)

STRUC-PERC-I v2.4.1 93 datasets · 22,817 evaluations Zero inter-class transitions Zero non-trivial commutators 11 physical domains Principle 1 — corpus-supported Field Generator v1.0

Instrument: STRUC-PERC-I v2.4.0/2.4.1 Pipeline: Field Generator (Python + Node.js + Puppeteer) Grid: 17×17 joint (α, μ) · Ω = [0.80, 1.20]² Date: April 2026 · unns.tech

Read more: Why Structure Doesn’t Change: Flat Phase Maps and Boundary Regimes in the UNNS Substrate

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