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Admissibility in Living Matter

Details: Category: Labs; Published: 20 March 2026

UNNS Substrate Program · Biological Extension · March 2026

A Candidate Structural Law
of Persistence

Admissibility Constraints Across Physical and Biological Systems — An Empirical Extension of the Universal Structural Law into the biological domain, establishing that the same instability bound governing atomic spectra, gravity, and large-scale structure also holds inside the fitness landscape of a self-replicating ribozyme.

Zero Violations 240 STRUC-I Evaluations STRUC-BIO-I: ρ = 0.0322 z = +4.22 above null QT45 Ribozyme Cross-Domain Falsification-First

Program · UNNS Substrate Instruments · STRUC-BIO-II · STRUC-BIO-I · STRUC-I v1.0.4 Dataset · Zenodo 10.5281/zenodo.13891380

The Universal Structural Law: Admissibility Bounds on Ordering Instability

Details: Category: Labs; Published: 17 March 2026

UNNS Substrate Program · March 2026 · Chamber STRUC-I v1.0.4

Nature Operates
at the Edge of Structural Failure

Across atoms, planets, and the cosmic microwave background, physical systems organize their internal order near a hidden boundary — and never cross it. We tested that boundary. We broke it. And then it repaired itself.

📄 Full Manuscript (PDF) ⚗️ STRUC-I Chamber 📊 Corpus Dashboard

3,073 Ladders Tested 13 Physical Domains 41 Orders of Magnitude 246 Million Tests Zero Physical Violations Boundary Located and Mapped

Instrument: STRUC-I v1.0.4 (falsification engine) Scale: Nuclear ~10⁻¹⁵ m → CMB last-scattering ~10²⁶ m Status: Empirical phase complete · Manuscript ready for submission

Where Structure Holds

Details: Category: Labs; Published: 12 March 2026

UNNS Substrate Program · March 2026 · Chambers QM-I & QM-II

Admissibility Geometry of
Atomic Spectral Ladders

A two-chamber empirical arc tests a single structural inequality across nine atomic systems, from hydrogen to gold — and discovers that ordered quantum spectra obey a geometric constraint that sits above the microscopic Hamiltonian.

Chamber QM-I · Static Geometry Chamber QM-II · Zeeman Dynamics CERT_NEG = 0 for B ≥ 0.04 T Crisis window: B ≈ 0.02 T 2,081,602 ladder rows Universal multi-scale gap hierarchy

Atoms tested: H, He, Li, Na, Ca, Fe, Ag, Au — 9 systems Field sweep: 0–1 T · 101 slices · branch-resolved Primary falsifier: inv(p) > ν(V(p)) at B ≥ 0.04 T — not observed Manuscript: Admissibility Geometry of Atomic Spectral Ladders (2026)

Structural Persistence Across the Cosmos and the Earth

Details: Category: UNNS Research; Published: 10 March 2026

UNNS Cross-Domain Certification · March 2026 · Four Physical Domains

The Persistence Law of Structure

A cross-domain empirical test of the UNNS admissibility framework — spanning 12 orders of magnitude of physical scale, four unrelated systems, and one structural law that governs them all.

Four completely unrelated physical systems — earthquake displacement fields, the cosmic microwave background, planetary gravity fields, and the distribution of galaxies across the universe — were analyzed independently. They share no common physical mechanism. Yet every single one exhibits the same structural constraint.

GRAV-I · Planetary Gravity CMB I–III · Cosmology CW-I · Cosmic Web LXV · Seismology 19 chamber runs · Zero falsifications Four rigidity levels · Complete hierarchy

Scale span: ~12 orders of magnitude (km to Gpc) Domains: 4 independent physical systems Chamber runs: 19 total, 0 intrinsic falsifications Hierarchy: Absolute → Relational → Covariant → Topological

Structural Persistence in the Cosmic Web: Cross-Scale Orientation Stability in Galaxy Survey Data (UPDATED!)

Details: Category: Labs; Published: 09 March 2026

UNNS Laboratory · 2026 · Cosmic Web Arc · CW-I v2.1.0 · Three-Survey Update

A CW-I test of structural persistence
in the cosmic web

How a purpose-built persistence chamber analysed 1.84 million galaxies across three independent surveys — DESI (deep universe), SDSS (intermediate depth), and 2MRS (local universe) — using a survey-appropriate five-scale smoothing ladder, and found that all three converge to the same Structural Boundary persistence regime.

CW-I · Persistence Chamber Structural Boundary · All Three Surveys Three-Survey Cross-Validation DESI L = 0.004° · 5-Scale Ladder N = 1,268,677 DESI + 500K SDSS + 43K 2MRS 4th Empirical Domain · UNNS

Chamber: CW-I v2.1.0 Datasets: DESI + SDSS + 2MRS galaxy surveys Smoothing ladder: 5 → 80 Mpc (5 levels, survey-appropriate) DESI axis drift (5-scale): 0.004° total Falsifier activations: 0 / 3 surveys

Executive Summary

The CW-I (Cosmic Web Persistence Chamber I) applies a Gaussian coarse-graining ladder to three independent galaxy surveys and tracks the dominant eigenvector of the density-weighted inertia tensor as the smoothing radius grows. A survey-appropriate five-scale ladder R ∈ {5, 10, 20, 40, 80} Mpc is used for all three datasets, ensuring the coarse-graining operator acts on physically resolved density contrast rather than survey-volume geometry.

The primary finding is cross-survey convergence: all three independent galaxy surveys — DESI (N = 1,268,677), SDSS (N = 500,000), and 2MRS (N = 43,533) — receive verdict Structural Boundary on the survey-appropriate ladder. DESI achieves S_struct = 0.9997 with total axis path L = 0.004°; SDSS achieves S_struct = 0.841 with L = 1.07°; and 2MRS achieves S_struct = 0.648 with L = 18.25°. No survey produces an intrinsic falsifier.

The three surveys span dramatically different cosmological depths, sky footprints, and galaxy counts, yet all three exhibit multiscale orientation coherence that persists across cluster and supercluster scales while remaining partially coupled to survey geometry. This convergence of independent observational datasets to the same persistence regime is strong evidence that the CW-I chamber is measuring a genuine multiscale structural property of the cosmic web rather than an artefact of any single survey.

"The cosmic web exhibits structural orientation stability that reproduces across three independent surveys spanning local, intermediate, and deep cosmological depth. This is a persistent geometric property of the galaxy distribution — not a statistical observation, not a coordinate artefact, not an isolated survey effect."

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