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UNNS Substrate Research Programme · April 2026 · Voyager 2 Corpus
Realizability Dynamics
in the Heliosheath
Evidence from Voyager 2 for the first time-resolved structural trajectories in realizability space —
and what 11 years of solar wind plasma reveal about the UNNS Substrate as a dynamical theory.
628 DLCP Runs · 4 Observables
96.0% Dominant-Class Conformance
3 FULL→GIANT Transitions · Pre-Heliopause
156 Theorem 1 Triggers
Propositions 1–3 Empirically Instantiated
STRUC-PERC-I v2.4 · DLCP 2025
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UNNS Substrate Research Program · Working Manuscript · April 2026
Local Geometry of
Realizability Boundaries
A new manuscript establishes that the connectivity margin — the UNNS framework's central operational invariant — is not merely a heuristic quantity, but a proven geometric distance to a class boundary. Realizability space has structure: smooth hypersurfaces, measurable trajectories, and a phase landscape confirmed across six atomic elements.
28-Page Manuscript
3 Proved Theorems
6 Elements · 16 Runs
5 Structural Regimes
0 USL Violations
Full Protocol Specification
📄 Open Full Manuscript PDF
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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
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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
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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
- Why Structure Doesn’t Change: Flat Phase Maps and Boundary Regimes in the UNNS Substrate
- Structural Regime Theory and the Universal Admissibility Framework
- A Four-Constant Alignment Matrix of Structural Response and Admissibility in Physical Systems
- Beyond Scale: How α Aligns Some Structures and Not Others