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UNNS Substrate Research Program · 2026 · Extreme Physical Transitions
From Fragmentation
to Coherence
The hidden geometry of extreme systems — how supernovae, nuclear explosions, seismic ruptures, particle collisions,
and Voyager's boundary crossing all share the same structural signature at the edge of realizability.
Forced Coherent Collapse
Margin Collapse Hypothesis
3 RISC Mechanisms
97.4% FULL · Voyager
Unified TD Scaling Law
5 Physical Domains
29 NK Station-Events · Zero HARD
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UNNS Substrate Research Program · April 2026 · Geometric Foundations
Margin as a Coordinate
The connectivity margin—previously an empirical ordering parameter—is shown to be a genuine distance-to-boundary coordinate in realizability space. Physical interactions, trajectory irreversibility, and the canonical ladder principle emerge as geometric consequences.
93 Datasets
22,817 Evaluations
11 Physical Domains
5 Theorems
Zero Monotonicity Violations
PRD/JSTAT Submission Ready
Primary Manuscript
Connectivity Margin as a Coordinate of Realizability Space: Monotonicity, Boundary Geometry, and Canonical Structure in the UNNS Substrate
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UNNS Substrate Research Programme · Core Results · 2026
Voyager Reveals a Structural Boundary
in the Heliosphere
For the first time, a physical boundary crossing is detected directly from structural data alone —
without physical labels, without parameter fitting, without domain-specific models.
Using Voyager 1 and Voyager 2 trajectories, we show that the heliopause is not merely a physical surface.
It is a measurable geometric event in realizability space.
This work introduces a computable operator that identifies phase transitions
with no prior knowledge of where the boundary is.
3 500 STRUC-PERC-I Evaluations
t* = 2012 · No physical label used
Structural Boundary Operator · Formally specified and validated
W = 512 / 1024 / 2048 · All confirm
ISM = Distinct Structural Basin
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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
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- How Structure Selects Dimension: A Phase Space View of Physical Systems
- 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
- Why Structure Doesn’t Change: Flat Phase Maps and Boundary Regimes in the UNNS Substrate