UNNS SUBSTRATE RESEARCH PROGRAM · COLOR CONFINEMENT REGIME SYNTHESIS · DATA SEED v0.1.1 · 2026-07-12

Color Confinement

Content analytics for the Color confinement.zip package: a source-indexed QCD data seed plus an eleven-report UNNS diagnostic chain running static-source spectra and Baker flux-tube profiles through STRUC-I admissibility and STRUC-PERC-I connectivity chambers, culminating in a derived boundary-pressure coordinate Π_boundary(r) and a Phase II cross-regime comparison plan. 161 files · 4 primary QCD sources · 12 reports · 15 figures · 9 chamber ladders.

01–05 DIAGNOSTIC CHAIN COMPLETE 06–08 CHAMBER ALIGNMENT COMPLETE 09–10 BOUNDARY-PRESSURE PROXY COMPLETE 11 FINAL SYNTHESIS COMPLETE Π_BOUNDARY(r): STRUC-I STABLE STRUCTURE · Ak=1.000 Π_BOUNDARY(r): STRUC-PERC-I FULL_PERCOLATION FLUX PEAK/WIDTH: LOCAL FRAGMENTATION STATIC GAP01: CONNECTED · GAP12: FRAGMENTED QC: 30 ACCEPT · 9 REVIEW · 2 EXCLUDE (of 41 profiles) 12 PHASE II CROSS-REGIME PLAN — PLANNING STAGE SOURCES: BULAVA 2019/2024 · BAKER 2024 · CARDOSO 2013 STATUS: NOT A DERIVATION OF QCD CONFINEMENT

Instruments: STRUC-I v1.0.4 · STRUC-PERC-I v2.5.0 Package: color_confinement_data_seed_v0.1.1_provenance Core priority: static Q-Q̄ potential · string-breaking thresholds · flux-tube profiles Pointwise rows parsed: 1090 (flux) + 57 (static) + 17 (proxy) Status: seed pack, not a raw lattice-data repository

§0 REPORT CHAIN — 12 DOCUMENTS

01
First Confinement Diagnostic

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02
Repair-Threshold Analysis

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03
Flux-Tube Sep. Extension

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04
Baker Flux QC

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05
Review-Separately Rows

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06–08
Chamber Alignment + Synthesis

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09–10
Boundary-Pressure Proxy

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11
Final Synthesis

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12
Phase II Cross-Regime Plan

INTEGRATED PRINCIPLE — ADMISSIBILITY-BY-CLOSURE

Internal reality ≠ external admissibility. Colored constituents may be internally real, but isolated colored externalization is not the admissible output. The observable route is tensioned, localized, and repaired into color-neutral composite channels: internal colored coordinate → attempted route extension → localized route tension → repair-threshold window → admissible color-neutral composite route. This is a structural UNNS reading of confinement — explicitly not a derivation of QCD confinement.

§1 CORPUS OVERVIEW — PACKAGE CONTENT ANALYTICS

161

TOTAL FILES IN PACKAGE

PRIMARY ARXIV SOURCES

MARKDOWN REPORTS

DIAGNOSTIC FIGURES (PNG)

FORMAL PDF REPORTS

CHAMBER-READY LADDERS

CHAMBER OUTPUT FILES

RAW .agr ANCILLARY FILES

PROCESSING SCRIPTS (.py)

1090

FLUX POINTWISE ROWS PARSED

STATIC ENERGY-LEVEL ROWS

DATA-STATUS PROVENANCE TAGS

DATA SEED + PROVENANCE

~24

manifest, README, source_registry, DATA_STATUS_GUIDE, 5 seed CSVs, 2 validators

manifest.json · source_registry.csv
string_tension_seed.csv · next_data_acquisition_queue.csv
validate_pack.py · validate_provenance.py

CORE DATA + RAW ANCILLARY

~27

data/01–03 (17 files) + raw_ancillary Baker .agr (10 files)

bulava2019_model_reconstructed_pointwise_E_levels.csv
baker2024_pointwise_Ex_FULL_NP...csv
Ex_FULL-NP_beta7.158d10a.agr · QCD_large_distances.agr

REPORTS + CHAMBER I/O

~69

reports/ (48 files) + chamber_inputs (11) + chamber_outputs (12) − overlap

11_color_confinement_final_synthesis.md
boundary_pressure_proxy_ladder.csv
chamber_struc_i_v1_0_4_results.json

SCRIPTS + QUEUE

scripts/ (8 .py) + extraction_queue (1 csv)

generate_chamber_inputs.py
extend_baker_flux_profiles_across_separations.py
pointwise_data_acquisition_queue.csv

Counts above are content-analytic tallies of the extracted package (161 files total), grouped by functional role rather than raw directory listing — several files (e.g. QC tables, trusted summaries) sit at the seam between "reports" and "chamber inputs" and are counted once, under their primary function. Two of the twelve numbered reports (09/10, boundary-pressure proxy) do not yet have companion PDFs; only 01, 02, 03 and the Regime Synthesis Note were rendered to PDF at time of packaging.

§2 SOURCE PROVENANCE — 4 PRIMARY REFERENCES

CANONICAL SOURCE REGISTRY · source_registry.csv

source_id	Title	Year	arXiv	Primary use	Status
Bulava2019_string_breaking	String breaking by light and strange quarks in QCD	2019	1902.04006	static Q-Q̄ spectrum; r_c / r_cs thresholds	PRIMARY
Bulava2024_mass_dependence	Quark-mass dependence of the potential energy between static colour sources	2024	2403.00754	ensemble metadata; physical-point tension	PRIMARY
Baker2024_flux_tube_full_QCD	Unveiling the flux tube structure in full QCD	2024	2409.20168	flux-tube simulation + pointwise Ex(x_t)	PRIMARY
Cardoso2013_SU3_flux_tube	Inside the SU(3) quark-antiquark QCD flux tube	2013	1302.3633	pure-gauge reference / control (not yet extracted)	SECONDARY / QUEUED

Every row in the package carries source_id, source_url/arXiv/DOI, source_location, and a row_provenance tag (one of 9 controlled values — see DATA_STATUS_GUIDE.md). Cardoso2013 is registered but not yet extracted into any data table.

§3 DIAGNOSTIC 01 — FIRST CONFINEMENT DIAGNOSTIC

STATIC ENERGY ROWS

0.707–1.607

SEPARATION RANGE (fm)

FLUX PROFILE ROWS

0.738

SOURCE SEPARATION (fm)

0.343

PEAK Ex FULL (GeV²)

0.245

PEAK Ex NP (GeV²)

0.551

NP FWHM ESTIMATE (fm)

UNNS WORKING MAP · diagnostic 01

Physics item	UNNS interpretation
quark separation r	route-extension coordinate
static spectrum V0(r), V1(r), V2(r)	boundary-pressure / route-tension spectrum
string-breaking threshold	repair-threshold marker
two-meson / screened channel	repaired admissible composite channel
flux-tube transverse profile Ex(x_t)	localized route geometry
absence of free color in ordinary spectrum	non-externalizable internal coordinate

Data status: static levels are MODEL_RECONSTRUCTION_FROM_REPORTED_PARAMETERS_NOT_RAW_DATA (diagonalized from the published Bulava 2019 3×3 Hamiltonian). Flux profile is AUTHOR_ANCILLARY_POINTWISE_DATA. Not sufficient for fitting a new potential curve or publishing a quantitative confinement result.

§4 DIAGNOSTIC 02 — REPAIR-THRESHOLD ANALYSIS

REPORTED REPAIR-THRESHOLD MARKERS · 17 rows inside threshold window

symbol	channel	reported r [fm]	nearest reconstructed r [fm]	gap V1−V0 [GeV]	gap V2−V1 [GeV]	d(gap01)/dr	d(gap12)/dr
r_c	light static-light threshold	1.224 ± 0.015	1.22094	0.08970	0.04594	−0.2114	−0.2126
r_cs	strange static-strange threshold	1.293 ± 0.016	1.28520	0.08642	0.04639	−0.0158	+0.3857

UNNS reading:

stretched color route → threshold-window approach → competing screened channel → repaired admissible color-neutral composite route

. The two reported thresholds mark the light and strange screening channels, treated as repair-threshold markers rather than free-color externalization points.

§5 DIAGNOSTICS 03–05 — FLUX-TUBE SEPARATION EXTENSION, QC, REVIEW

1090

POINTWISE ROWS PARSED

PROFILES REPRESENTED

SOURCE .agr FILES

QC: ACCEPT_FOR_TREND

QC: REVIEW_SEPARATELY

QC: EXCLUDE_FROM_TREND

0.723–1.060

TRUSTED d RANGE (fm)

TRUSTED TREND DATASET · ACCEPT_FOR_TREND only

component	n	d range [fm]	peak range [GeV²]	FWHM range [fm]	mean area
FULL	15	0.723–1.060	0.195–0.387	0.530–0.663	0.195
NP	15	0.723–1.060	0.126–0.274	0.544–0.723	0.152

DESCRIPTIVE TREND SLOPES · trusted rows only, not a fitted law

component	quantity	slope vs d	correlation r
FULL	peak	−0.4885	−0.960
FULL	fwhm	+0.3711	+0.964
FULL	area	−0.1919	−0.969
NP	peak	−0.2939	−0.908
NP	fwhm	+0.4207	+0.928
NP	area	−0.0818	−0.825

Reading: peak field weakens and width broadens modestly with increasing separation — interpreted as route redistribution, not route disappearance.

REVIEW-SEPARATELY DISPOSITION · 05_baker_review_separately_rows.md · 9 rows

decision class	count	meaning
KEEP_SEPARATE_QUALITATIVE_STRING_BREAKING	3	paper-defined profiles, distinct source convention
EXCLUDE_FROM_INTERPRETATION_FOR_NOW	2	boundary/noise-dominated, FWHM is a parsing artifact
NORMALIZE_LATER_QUALITATIVE_ONLY	2	low SNR, unstable width — needs normalization review
KEEP_SEPARATE_LARGE_DISTANCE_CONTROL	1	large-distance profile, separate error convention
EXCLUDE_FROM_TREND_KEEP_AS_OUTLIER_NOTE	1	ordinary NP file but wide FWHM / low peak significance

None of these 9 rows are discarded — they are held as a separate qualitative/control evidence class rather than mixed into the main FULL/NP trend.

§6 §§6–8 · CHAMBER PROCESSING — STRUC-I v1.0.4 · STRUC-PERC-I v2.5.0

Nine chamber-ready single-column ladders were generated from QC-clean tables and run through both chambers: STRUC-I tests admissibility under perturbation (regime / state / mean Aκ); STRUC-PERC-I tests gap-connectivity (verdict / giantRatio / κ_connect). Ladders derive only from QC-accepted rows — REVIEW_SEPARATELY rows are excluded from chamber input.

STRUC-I × STRUC-PERC-I — ALL 9 LADDERS

ladder	n	STRUC-I regime / state	mean Aκ	min Aκ	STRUC-PERC-I verdict	giantRatio	κ_connect
flux_FULL_area_trusted	15	GP / Weak Persist.	0.99996	0.9990	FULL_PERCOLATION	1.000	40.02
flux_FULL_peak_trusted	15	GP / Weak Persist.	0.95826	0.8605	HARD_FRAGMENTATION	0.857	—
flux_FULL_width_trusted	15	GP / Weak Persist.	0.99999	0.9995	HARD_FRAGMENTATION	0.857	—
flux_NP_area_trusted	13	GP / Weak Persist.	0.99974	0.9975	FULL_PERCOLATION	1.000	10.00
flux_NP_peak_trusted	13	GP / Weak Persist.	0.99558	0.9805	FULL_PERCOLATION	1.000	4.01
flux_NP_width_trusted	13	GP / Weak Persist.	1.00000	1.0000	HARD_FRAGMENTATION	0.923	—
static_gap01_repair_window	17	GP / Stable Structure	0.99849	0.9740	FULL_PERCOLATION	1.000	10.00
static_gap12_repair_window	17	GP / Stable Structure	1.00000	1.0000	HARD_FRAGMENTATION	0.941	—
boundary_pressure_proxy Π_boundary(r)	17	GP / Stable Structure	1.00000	1.0000	FULL_PERCOLATION	1.000	10.00

GP = Geometric Persistence. 5 of 8 raw local-descriptor ladders are STRUC-PERC-I connected; peak/width descriptors (local shape sensitivity) tend to fragment while area/gap01 (global route-integral coherence) stay connected. The derived Π_boundary(r) proxy is the only object that is simultaneously perfectly admissible (Aκ=1.000, min Aκ=1.000) and fully percolated (giantRatio=1.000) — see §7.

FINDING §6.1

Raw local descriptors may fragment; the derived pressure coordinate does not

flux_FULL_peak, flux_FULL_width, flux_NP_width, and static_gap12 all reach HARD_FRAGMENTATION under STRUC-PERC-I despite being individually STRUC-I admissible. flux_FULL_area, flux_NP_area, flux_NP_peak, and static_gap01 reach FULL_PERCOLATION. The pattern separates global route-integral coherence (area, gap01) from local shape sensitivity (peak, width, gap12) — and motivates constructing a single coordinatizing observable (§7) rather than reading any one raw ladder as "the" confinement signal.

§7 BOUNDARY-PRESSURE PROXY Π_boundary(r) — REPORTS 09–10

WORKING DEFINITION · v0.3.0 STATIC_ONLY_EXACT_COLUMNS

Π_boundary(r) = w_gap·C_gap(r) + w_thr·C_threshold(r) + w_slope·C_slope(r) (flux term C_flux deliberately removed from the first executable pass — kept symbolic in the v0.1 definition at w_flux=0.15). Effective normalized weights used: gap = 0.412, threshold = 0.353, slope = 0.235. C_gap = channel-gap compression near r_c/r_cs, C_threshold = proximity to the nearest repair marker, C_slope = finite-difference gap-reorganization sharpness. This is a structural UNNS diagnostic variable, not a fitted physical law and not a QCD potential.

0.546

MEAN Π_boundary (17 rows)

0.278

MIN Π_boundary @ r=1.125 fm

0.766

MAX Π_boundary @ r=1.221 fm

PRESSURE-BAND DISTRIBUTION · 17 rows

MILD_TENSION

ACTIVE_REPAIR_WINDOW

HIGH_NEAR_REPAIR

Bands are descriptive/methodological only, not calibrated physical thresholds. The single HIGH_BOUNDARY_PRESSURE_NEAR_REPAIR row sits at r = 1.22094 fm — immediately adjacent to the reported r_c = 1.224 fm light-channel threshold.

Π_boundary(r) NEAR REPAIR WINDOW · selected rows

r [fm]	gap01 [GeV]	gap12 [GeV]	Π_boundary	band
1.12455	0.1449	0.0619	0.278	MILD
1.17275	0.1096	0.0558	0.477	MILD
1.18881	0.1009	0.0529	0.583	ACTIVE
1.20488	0.0942	0.0495	0.679	ACTIVE
1.22094	0.0897	0.0459	0.766	HIGH · near r_c
1.28520	0.0864	0.0464	0.745	ACTIVE · near r_cs
1.30127	0.0860	0.0543	0.750	ACTIVE
1.38159	0.0827	0.1202	0.328	MILD

FINDING §7.1

Π_boundary(r) is the strongest chamber result in the color-confinement chain

The proxy ladder is simultaneously STRUC-I Geometric Persistence / Stable Structure (mean Aκ = 1.000, min Aκ = 1.000) and STRUC-PERC-I FULL_PERCOLATION (giantRatio = 1.000, κ_connect = 10, 0 isolated nodes out of 17). No raw local descriptor in the package achieves both properties at once. The proxy therefore acts as a coordinatizing observable: it takes partially fragmented lower-level descriptors (flux peak/width, static gap12) and produces a stable, fully connected pressure coordinate — while its peak value (0.766) falls exactly at r = 1.221 fm, adjacent to the reported light-channel repair threshold r_c = 1.224 fm.

§8 REPORT 11 FINAL SYNTHESIS · REPORT 12 PHASE II CROSS-REGIME PLAN

CROSS-REGIME COMPARISON TABLE · Phase II planning, not yet executed

Coordinate	Color confinement	H-mode plasma	Charge-boundary law
Visible projection	color-neutral hadrons	ILH label / H-mode access	scalar charge conservation
Hidden route coordinate	color / flux-tube route	edge / confinement route	charge route / closure tuple
Route-extension coord.	static-source separation r	event index / time window t	transition tuple
Pressure term	gap compression, threshold proximity, slope	F_route fragmentation pressure	forbidden/constrained boundary pressure
Boundary event	string breaking / repair threshold	L-H transition	admissibility / transition boundary
Derived global coordinate	Π_boundary(r)	m_edge,event · m_edge,conf(t)	boundary-route admissibility
Chamber outcome	stable + fully connected	not yet chamber-tested	route admissibility vs graph connectivity

S_cross(color confinement) = 1.000 (A_STRUC-I=1.000, G_STRUC-PERC-I=1.000). H-mode plasma is the proposed Regime B; its margin ladders (m_edge,event, C_edge, F_route) are registered as READY_FOR_EXTRACTION but not yet chamber-tested at time of this analysis.

FINAL STRUCTURAL STATEMENT

Color confinement is admissibility-by-closure in a physically grounded regime: the attempted isolated color route does not externalize; it localizes as flux-tube tension; the repair window reorganizes channel structure; the admissible continuation is color-neutral closure. The derived boundary-pressure coordinate Π_boundary(r) is chamber-stable (STRUC-I Aκ=1.000) and fully connected (STRUC-PERC-I giantRatio=1.000) — the first explicit UNNS confinement-pressure object in the program.

Explicit non-claims (stated repeatedly across all 12 reports): this does not derive QCD confinement, Π_boundary is not a physical QCD potential, the proxy weights are not universal, and the static-only proxy is not a final theory. The static-source spectrum is model-reconstructed from published parameters (not raw GEVP lattice points); only one Baker flux-tube profile family has full pointwise coverage; Cardoso2013 remains an unextracted reference source.

Recommended next phase: Phase II — Cross-Regime Boundary-Pressure Comparison, testing whether H-mode plasma confinement (and later Ranque-Hilsch separation, gravitational binding, fracture nucleation) reproduces the same pattern — fragmented local descriptors stabilizing into a connected global pressure coordinate.