UNNS SUBSTRATE
10/10 FULL
A→B CONTACT · C BRANCH
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Stellar Boundary Dynamics I — STRUC-PERC-I v2.5.0 Pilot Manuscript · 2026

Stellar Boundary
Dynamics DASHBOARD

Catastrophic Transition as Routing Between Admissible Structural Regimes

A three-layer structural study of core-collapse supernovae across pre-collapse radial profiles, post-collapse light curves, and post-collapse spectral evolution. All 10 phase-level evaluations return Full-percolation while the ABC tri-domain bridge classifies the global routing geometry as A→B contact with C branching — showing that catastrophic transition preserves local admissibility while routing structure into non-equivalent downstream regimes.

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10/10
Full-percolation
zero Hard/Giant/Tail
3
Observational
layers (A · B · C)
3
Bridge runs
AB · BC · ABC
0.401
ABC A–B centroid
weak separation
1.287
ABC B–C centroid
strong separation
ABC Routing Geometry v2 Unified
A B C Pre-SN Profile Light Curve Spectral Series d=0.401 weak sep. d=1.287 strong sep. d=1.365 A_to_B_contact_with_C_branching
Global Classification v2 Normalization Tri-Domain
Observational Layers All Full
A
Pre-SN Radial Profiles
2 objects · Zenodo 5556959 · MESA terminal snapshots
A1_12M (12.09 M☉) · A2_20M (19.98 M☉) · n = 64
κ = 1–2
TD = 0
FULL
B
Post-Collapse Light Curves
6 objects · OSC/AstroCats · multi-band photometry
SN1987A · SN1993J · SN1999em · SN2011dh · SN2012aw · SN2013ej
κ = 0.18–4.4
TD = 0–0.33
FULL
C
Post-Collapse Spectral Series
2 objects · WISeREP · 8 line-window features
C1_SN1993J (685 rows) · C2_SN2012aw (198 rows)
κ = 201–3992
TD = 0.57–0.96
FULL
STRUC-PERC-I Log v2.5.0
[A] A1_12M → FULL_PERCOLATION [A] A2_20M → FULL_PERCOLATION [A] κ: 1–2 · TD: 0.000 · n=64 [B] SN1987A → FULL_PERCOLATION [B] SN1993J → FULL_PERCOLATION [B] SN1999em → FULL_PERCOLATION [B] SN2011dh → FULL_PERCOLATION [B] SN2012aw → FULL_PERCOLATION ★ [B] SN2013ej → FULL_PERCOLATION [B] κ_max: 4.400 (SN2012aw) [C] C1_SN1993J → FULL_PERCOLATION [C] C2_SN2012aw → FULL_PERCOLATION ★ [C] κ: 201–3992 · TD: 0.57–0.96 [ABC] ABC BRIDGE COMPLETE [ABC] d(A,B) = 0.401 weak_separation [ABC] d(B,C) = 1.287 strong_separation [ABC] d(A,C) = 1.365 strong_separation
0
Hard · Giant · Tail
10
Full evaluations
ABC Bridge — Centroid Distances Authoritative
A–B
0.401 weak sep.
B–C
1.287 strong sep.
A–C
1.365 strong sep.
Branching indices
BC−AB
+0.886 C branch str.
AC−AB
+0.964 spectral offset
Pairwise AB = 0.584 · BC = 1.318
Diagnostic only · different norm. space
Object Archetypes Contact vs Branching
SN1993J — Contact Chain BI = 0.504
A2_20M → B_SN1993J → C1_SN1993J
A→B 0.150
B→C 0.654
A→C 0.661
Corpus minimum A–B distance · equilateral compact geometry · near-linear structural inheritance across all three layers
SN2012aw — Branching Anomaly BI = 1.470
A2_20M → B_SN2012aw → C2_SN2012aw
A→B 0.438
B→C 1.908
A→C 2.009
Full-percolating throughout · highest κ in B and C · persistent admissible anomaly · 2.9× SN1993J branching index
κ_connect Escalation A → B → C Log Scale

All evaluations remain Full while κ_connect spans five decades. The B→C jump is abrupt: κ_B max = 4.4 → κ_C min = 201.

Phase A
A1_12M
κ = 2
A2_20M
κ = 1
Phase B
SN1999em
κ = 0.18
SN2011dh
κ = 1.0
SN2012aw ★
κ = 4.4
Phase C — spectral layer
C1_SN1993J
κ = 201
C2_SN2012aw ★
κ = 3992
Representation-Dependent Five Decades All Full
Boundary Routing Conjecture Formal Layer — Conjecture 1
A catastrophic transition in a physically realized system need not destroy admissibility. Instead, the transition may preserve local Full-percolation in each post-boundary observable representation, while routing the system into multiple downstream structural regimes that remain internally connected but are mutually non-equivalent under bridge geometry.
Definition 1
Admissible boundary-routing event — all layers Full, ≥ 2 strongly separated, routed geometry
Prop. 1
Full-percolation ⇏ cross-regime equivalence — bridge geometry required
Theorem 1
Stellar Boundary Routing — pilot-corpus empirical theorem, A→B contact, C branching
Conjecture 2
Contact-chain / branching-anomaly dichotomy — SN1993J BI = 0.504, SN2012aw BI = 1.470
Corpus Resources Three Archives
Working Manuscript · PDF Stellar Boundary Dynamics Full manuscript: Definition 1, Proposition 1, Theorem 1, Conjectures 1–2, Tables, Figures, Reproducibility Appendix. 23 pages · STRUC-PERC-I v2.5.0. ↗ unns.tech/media/unns/stellar_boundary_dynamics/ Interactive Analytics · HTML Corpus Analytics Dashboard Full interactive analysis: §1–§11 with ABC bridge result, object chains, routing geometry, κ/TD escalation, footnote, and pairwise vs ABC bridge diagnostics. ↗ stellar_boundary_dynamics_analytics.html Full Corpus Archive · ZIP Stellar Boundary Dynamics Corpus Complete pipeline archive: Phase A–C raw data, ladders, STRUC-PERC-I inputs, alpha grids, v2 vector summaries, AB/BC/ABC bridge comparisons, result records, and all conversion scripts. ↓ stellar_boundary_dynamics.zip
V2 Normalization — Scale Review 9 of 10 Objects

Before bridge comparison, a scale review detects channel dominance in the raw alpha vector. V2 bounded-anisotropic normalization replaces raw αaniso with a capped value ∈ [0,1], correcting scale amplification without affecting FULL verdicts (which are computed from the numeric ladder directly, prior to alpha-application).

A2_20M
254.5×
Composition/gap ratio
Max channel dominance in corpus
Phase B Max
699k×
SN2013ej curvature/gap
5 of 6 B objects: review req.
Verdict impact
None
V2 affects bridge distances only ·
All 10 FULL verdicts unchanged
Bridge files: A/B/C_5D_VECTOR_SUMMARY_v2.csv · Script: a/b/c_alpha_normalization_review.py
UNNS Substrate Research Program © 2026  ·  STRUC-PERC-I v2.5.0  ·  Stellar Boundary Dynamics I  ·  unns.tech