# AB_BRIDGE_RESULT_RECORD.txt
# STELLAR_BOUNDARY_DYNAMICS_I
# A–B Bridge — Result Record

BRIDGE:
A–B

PARENT DATASET:
stellar_boundary_dynamics

RESULT STATUS:
A–B bridge completed.

DATE:
2026-06-01

PURPOSE:
Record the first completed structural comparison between:

A:
real pre-supernova radial-profile structures

and

B:
observed post-collapse supernova light-curve response structures

after both domains were processed into normalization-reviewed v2 structural
vectors.

INPUTS:
AB_bridge/inputs/A_5D_VECTOR_SUMMARY_v2.csv
AB_bridge/inputs/B_5D_VECTOR_SUMMARY_v2.csv

OUTPUTS:
AB_bridge/comparisons/AB_VECTOR_PAIRWISE_COMPARISON.csv
AB_bridge/comparisons/AB_DOMAIN_CENTROID_COMPARISON.csv
AB_bridge/comparisons/AB_OBJECT_RANKING.csv

AB_bridge/summaries/AB_BRIDGE_SUMMARY.csv
AB_bridge/summaries/AB_BRIDGE_INTERPRETATION.txt

PHASE A SOURCE:
Zenodo 5556959
Different to the core: the pre-supernova structures of massive single and binary-stripped stars

PHASE A DATA TYPE:
Real processed pre-supernova radial-profile data.

PHASE A SELECTED MODELS:
A1_12M:
profile_single_M12.09_128net.data

A2_20M:
profile_single_M19.98_128net.data

PHASE A PROCESSING CHAIN:
pre-supernova profile .data
→ pre-supernova radial profile ladder CSV
→ STRUC-PERC-I canonical input
→ numeric STRUC-PERC-I ladder
→ STRUC-PERC-I batch result
→ alpha-application grid
→ first-pass 5D vector
→ normalization-reviewed v2 vector

PHASE A STRUC-PERC-I RESULT:
A1_12M_numeric_ladder.txt:
FULL_PERCOLATION
κ_connect = 2
tailDominance = 0

A2_20M_numeric_ladder.txt:
FULL_PERCOLATION
κ_connect = 1
tailDominance = 0

PHASE A NORMALIZATION REVIEW:
Comparable objects: 0
Scale-review-needed objects: 2
High-kappa-attention objects: 1

PHASE A REVIEW NOTE:
Both Phase A objects showed composition-channel dominance. This was treated as
a scale-review condition, not a failure. The bridge used the reviewed v2 vector
summary.

PHASE B SOURCE:
Open Supernova Catalog / AstroCats-derived light-curve JSON files

PHASE B DATA TYPE:
Observed post-collapse supernova light-curve response data.

PHASE B OBJECTS:
B_SN1987A
B_SN1993J
B_SN1999em
B_SN2011dh
B_SN2012aw
B_SN2013ej

PHASE B PROCESSING CHAIN:
OSC raw JSON
→ light-curve ladder CSV
→ STRUC-PERC-I canonical input
→ numeric STRUC-PERC-I ladder
→ STRUC-PERC-I batch result
→ alpha-application grid
→ first-pass 5D vector
→ normalization-reviewed v2 vector

PHASE B STRUC-PERC-I RESULT:
All six Phase B light-curve ladders returned FULL_PERCOLATION.

PHASE B NORMALIZATION REVIEW:
Comparable objects: 1
Scale-review-needed objects: 5
High-tail/kappa-attention objects: 1

PHASE B REVIEW NOTE:
SN2012aw remained the main high-tail/high-kappa attention object.

BRIDGE METHOD:
The bridge compared Phase A and Phase B v2 vectors using normalized feature
space.

FEATURES COMPARED:
mean_GR
var_GR
anisotropic_persistence_bounded
admissibility_persistence
collapse_onset_radius
kappa_connect_reference
tail_dominance_reference

COMPARISON OUTPUTS:
1. Pairwise A–B vector comparison
2. Domain centroid comparison
3. Phase B object ranking by nearest Phase A profile
4. Bridge interpretation summary

PRIMARY DOMAIN RESULT:
Centroid distance = 0.584026232738

Centroid separation label:
weak_separation

PRIMARY INTERPRETATION:
The current processed dataset shows weak separation between the Phase A
pre-supernova radial-profile domain and the Phase B post-collapse light-curve
response domain.

This means the two domains are not collapsed into the same structural region,
but they are also not strongly separated. The result supports treating the
boundary as a transition between related but distinct structural regimes.

CLOSEST A–B PAIR:
A2_20M ↔ B_SN1993J

Distance:
0.232685521403

Interpretation:
close structural contact in reviewed v2 feature space

MOST SEPARATED A–B PAIR:
A1_12M ↔ B_SN2012aw

Distance:
2.0846018436

Interpretation:
strongly separated structural relation

PHASE B OBJECT RANKING BY NEAREST PHASE A PROFILE:
1. B_SN1993J nearest to A2_20M at distance 0.232685521403
2. B_SN2011dh nearest to A2_20M at distance 0.574599134067
3. B_SN2013ej nearest to A2_20M at distance 0.627292239052
4. B_SN1999em nearest to A1_12M at distance 0.834823303234
5. B_SN1987A nearest to A1_12M at distance 1.24413168497
6. B_SN2012aw nearest to A2_20M at distance 1.87865142223

NOTABLE PATTERNS:
1. A2_20M is the nearest Phase A profile for four of six Phase B objects:
   B_SN1993J
   B_SN2011dh
   B_SN2013ej
   B_SN2012aw

2. A1_12M is the nearest Phase A profile for:
   B_SN1999em
   B_SN1987A

3. B_SN1993J is the closest post-collapse light-curve response to the Phase A
   pre-supernova profile domain in this first bridge.

4. B_SN2012aw remains the strongest outlier / special case, consistent with its
   earlier Phase B high-tail/high-kappa attention status.

UNNS INTERPRETATION:
This bridge gives the first completed pre-boundary → post-boundary comparison
inside the stellar_boundary_dynamics dataset.

Phase A:
pre-boundary radial support/composition structure

Phase B:
post-boundary brightness-response relaxation structure

Bridge:
reviewed structural-vector comparison across the boundary.

The result supports a boundary-transition framing:

connected pre-supernova radial structures
→ collapse/explosion boundary
→ connected but shifted post-collapse observable response trajectories

VALID CLAIMS:
The dataset now supports a first structural comparison between pre-supernova
radial profiles and post-collapse light-curve responses.

The A and B domains are weakly separated in reviewed v2 structural-vector space.

A2_20M has the strongest contact with several Phase B light-curve responses,
especially B_SN1993J.

SN2012aw remains structurally special and should be retained as an outlier /
sensitivity candidate.

INVALID CLAIMS:
Do not claim direct astrophysical prediction of a specific observed supernova
from a specific pre-supernova profile.

Do not claim full explosion modeling.

Do not claim that two Phase A profiles represent the full pre-collapse massive
star population.

Do not claim that six Phase B light curves represent the full core-collapse
supernova population.

Do not claim that Phase A profile snapshots replace time-resolved MESA
history.data trajectories.

SCIENTIFIC LIMITATION:
Phase A currently uses terminal/pre-supernova radial profile snapshots, not full
time-series evolution tracks.

Phase B uses observed brightness-response trajectories, not direct hidden-core
measurements.

The bridge is therefore structural and comparative, not a full physical
explosion simulation.

NEXT EXPANSION BRANCH:
C — spectral time series

RATIONALE:
Spectral time series can test whether element-line evolution supports or
modifies the A–B structural contact/separation pattern.

Suggested Phase C targets:
changing lines of H, He, Si, Fe, Ni, O, Ca
time-resolved spectra
line-strength ladders
element-transition ladders

NEXT POSSIBLE OUTPUT:
C_spectral_time_series/
  sources/
  raw/
  ladders/
  struc_perc_i/
  alpha_application/
  normalization_review/

STATUS:
A–B bridge complete.
Ready to archive result record and proceed to Phase C planning.
