# ABC_BRIDGE_RESULT_RECORD.txt
# STELLAR_BOUNDARY_DYNAMICS_I
# A-B-C Bridge — Tri-Domain Result Record

BRIDGE:
A-B-C

PARENT DATASET:
stellar_boundary_dynamics

RESULT STATUS:
A-B-C tri-domain bridge completed.

DATE:
2026-06-01

PURPOSE:
Record the completed structural comparison across the three normalization-
reviewed v2 domains of the Stellar Boundary Dynamics dataset:

A:
pre-supernova radial support/composition profiles

B:
post-collapse light-curve response trajectories

C:
post-collapse spectral line-evolution trajectories

The purpose of the A-B-C bridge is to determine whether the stellar boundary
system behaves as:

1. a simple transition chain:
   A -> B -> C

2. a branching structure:
   A -> B, with C branching away as an independent post-collapse observable
   regime

3. a linked admissible-cluster structure:
   multiple internally connected regimes related by bridge geometry.

INPUTS:
ABC_bridge/inputs/A_5D_VECTOR_SUMMARY.csv
ABC_bridge/inputs/B_5D_VECTOR_SUMMARY.csv
ABC_bridge/inputs/C_5D_VECTOR_SUMMARY.csv

OUTPUTS:
ABC_bridge/comparisons/ABC_DOMAIN_CENTROID_COMPARISON.csv
ABC_bridge/comparisons/ABC_PAIRWISE_DOMAIN_DISTANCE.csv
ABC_bridge/comparisons/ABC_OBJECT_CHAIN_ALIGNMENT.csv
ABC_bridge/comparisons/ABC_TRANSITION_CHAIN_TEST.csv

ABC_bridge/summaries/ABC_BRIDGE_SUMMARY.csv
ABC_bridge/summaries/ABC_BRIDGE_INTERPRETATION.txt
ABC_bridge/summaries/ABC_BRIDGE_RESULT_RECORD.txt

DATA LAYERS:
A = pre-supernova radial support/composition profiles
B = post-collapse light-curve response trajectories
C = post-collapse spectral line-evolution trajectories

PHASE A OBJECTS:
A1_12M
A2_20M

PHASE B OBJECTS:
B_SN1987A
B_SN1993J
B_SN1999em
B_SN2011dh
B_SN2012aw
B_SN2013ej

PHASE C OBJECTS:
C1_SN1993J
C2_SN2012aw

COMPARISON FEATURES:
mean_GR
var_GR
anisotropic_persistence_bounded
admissibility_persistence
collapse_onset_radius
kappa_connect_reference
tail_dominance_reference

PRIMARY DOMAIN DISTANCES:
A-B centroid distance = 0.260288865545
A-B classification = overlap_or_close_contact

B-C centroid distance = 1.28513101396
B-C classification = strong_separation

A-C centroid distance = 1.31329085839
A-C classification = strong_separation

GLOBAL ABC CLASSIFICATION:
A_to_B_contact_with_C_branching

PRIMARY INTERPRETATION:
The tri-domain structure is best read as A-to-B contact or weak transition,
with C branching away as an independent post-collapse observable regime.

This means the stellar boundary system is not best described as a simple
linear A -> B -> C chain.

It is better described as:

A -> B contact / inheritance
with
C branching away as an independent post-collapse spectral regime.

DOMAIN-PAIR DETAILS:

A-B:
centroid distance = 0.260288865545
classification = overlap_or_close_contact

closest pair:
A2_20M <-> B_SN1993J
distance = 0.149829450823

most separated pair:
A2_20M <-> B_SN1987A
distance = 1.21874943796

interpretation:
Pre-boundary profiles and post-boundary light curves are related but shifted.
The A-B relation is the contact/inheritance side of the stellar boundary
system.

B-C:
centroid distance = 1.28513101396
classification = strong_separation

closest pair:
B_SN2012aw <-> C1_SN1993J
distance = 0.468731448595

most separated pair:
B_SN1987A <-> C2_SN2012aw
distance = 2.40402179402

interpretation:
Light curves and spectra form distinct post-boundary observable regimes.
The spectral layer is not a redundant copy of the brightness-response layer.

A-C:
centroid distance = 1.31329085839
classification = strong_separation

closest pair:
A2_20M <-> C1_SN1993J
distance = 0.608333864002

most separated pair:
A1_12M <-> C2_SN2012aw
distance = 2.23586389048

interpretation:
Pre-boundary profiles and spectra are separated across the full boundary route.
The spectral layer is structurally farther from the pre-boundary state than the
light-curve layer is.

OBJECT CHAIN ALIGNMENT:

SN1993J CONTACT CHAIN:
A2_20M -> B_SN1993J -> C1_SN1993J

dAB = 0.149829450823
dBC = 0.596998156969
dAC = 0.608333864002

branching_index = 0.447168706146

interpretation:
compact transition chain with C still near B

Result:
SN1993J remains the coherent contact object across the full A-B-C chain.
It is the strongest example of a compact boundary route in the current corpus.

SN2012aw ANOMALY CHAIN:
A2_20M -> B_SN2012aw -> C2_SN2012aw

dAB = 0.437750002656
dBC = 1.90778269098
dAC = 2.0085454502

branching_index = 1.47003268832

interpretation:
C branches away from the A-B contact path

Result:
SN2012aw remains the persistent anomaly. Its light-curve representation is
already separated from the A-B contact path, and its spectral representation
branches away even more strongly.

This confirms that SN2012aw is not merely a Phase B photometric outlier. It is
a cross-layer boundary-routing anomaly whose spectral expression becomes the
most separated component of the tri-domain chain.

MAIN RESULT:
The Stellar Boundary Dynamics corpus supports the following structural picture:

pre-supernova radial structure
  -> light-curve response contact / inheritance
  -> spectral line-evolution branching

The boundary event does not destroy admissibility, because all processed layers
remain internally connected.

However, the boundary does not produce one unified post-collapse coordinate
either. Instead, it routes structure into multiple admissible but non-equivalent
observable regimes.

THEORETICAL INTERPRETATION:
The A-B-C bridge supports a boundary-routing model:

1. A physical system can undergo catastrophic transition without losing
   structural admissibility.

2. Pre-boundary and first post-boundary observable layers can remain in contact
   or near-contact.

3. Additional post-boundary observables can branch away into strongly separated
   but internally connected structural regimes.

4. Object-specific anomalies can persist across layers without becoming
   inadmissible.

5. Internal percolation and cross-domain equivalence are different concepts:
   FULL_PERCOLATION establishes local structural viability, while bridge
   geometry establishes inter-regime relation.

RELATION TO PRIOR BRIDGES:

A-B bridge alone:
weak/contact-like transition between pre-supernova profiles and light curves.

B-C bridge alone:
strong separation between light curves and spectra.

A-B-C bridge:
integrates both into a single routing result:
A-to-B contact with C branching.

RELATION TO UNNS / ADMISSIBILITY THEORY:
The result supports the interpretation of stellar collapse as an admissible
cluster-routing event rather than a simple structural rupture.

In UNNS terms:

A:
pre-boundary support/composition ladder

B:
post-boundary luminosity-response ladder

C:
post-boundary spectral-redistribution ladder

ABC bridge:
tri-domain comparison showing that the boundary routes structure across
non-equivalent admissible regimes.

VALID CLAIMS:
The A-B-C bridge is complete.

The tri-domain system is classified as:
A_to_B_contact_with_C_branching.

A and B are close/contact-like in reviewed vector space.

B and C are strongly separated.

A and C are strongly separated.

SN1993J remains the coherent contact chain.

SN2012aw remains the persistent anomaly and branches strongly in the spectral
layer.

The stellar boundary system is better represented as linked admissible regime
routing than as a single linear trajectory.

INVALID CLAIMS:
Do not claim direct supernova prediction.

Do not claim full hydrodynamic explosion modeling.

Do not claim radiative-transfer modeling.

Do not claim nucleosynthesis yield recovery.

Do not claim spectra are direct abundance maps.

Do not claim object-by-object progenitor reconstruction from bridge distance
alone.

Do not claim that two Phase A profiles represent all massive-star progenitors.

Do not claim that two Phase C spectral pilots represent all core-collapse
spectral behavior.

SCIENTIFIC LIMITATIONS:
The Phase A layer uses two public pre-supernova radial profile snapshots.

The Phase B layer uses six light-curve objects.

The Phase C layer uses two spectral pilot objects.

The spectral features are line-window structural proxies, not complete abundance
or radiative-transfer reconstructions.

The ABC result is therefore a first structural boundary-routing test, not a
population-complete astrophysical model.

MANUSCRIPT IMPLICATION:
The manuscript title should emphasize boundary routing rather than only a
three-layer test.

Recommended framing:
Stellar Boundary Dynamics:
Catastrophic Transition as Routing Between Admissible Structural Regimes

Alternative:
Boundary Routing in Stellar Collapse:
A Three-Layer Structural Test of Catastrophic Realizability Transition

NEXT MANUSCRIPT UPDATE:
Update the manuscript synthesis to include:

1. ABC bridge method.
2. A-B-C centroid distances.
3. Global classification:
   A_to_B_contact_with_C_branching.
4. SN1993J contact-chain result.
5. SN2012aw anomaly-chain result.
6. The general theoretical claim:
   catastrophic transition can preserve admissibility while routing structure
   across multiple non-equivalent observable regimes.

STATUS:
Phase A complete.
Phase B complete.
Phase C complete.

A-B bridge complete.
B-C bridge complete.
A-B-C bridge complete.

Ready for manuscript synthesis.
