# BC_BRIDGE_RESULT_RECORD.txt
# STELLAR_BOUNDARY_DYNAMICS_I
# B–C Bridge — Result Record

BRIDGE:
B–C

PARENT DATASET:
stellar_boundary_dynamics

RESULT STATUS:
B–C bridge completed.

DATE:
2026-06-01

PURPOSE:
Record the first completed structural comparison between:

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

and

C:
observed post-collapse spectral line-evolution structures

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

INPUTS:
BC_bridge/inputs/B_5D_VECTOR_SUMMARY_v2.csv
BC_bridge/inputs/C_5D_VECTOR_SUMMARY_v2.csv

OUTPUTS:
BC_bridge/comparisons/BC_VECTOR_PAIRWISE_COMPARISON.csv
BC_bridge/comparisons/BC_DOMAIN_CENTROID_COMPARISON.csv
BC_bridge/comparisons/BC_OBJECT_ALIGNMENT.csv

BC_bridge/summaries/BC_BRIDGE_SUMMARY.csv
BC_bridge/summaries/BC_BRIDGE_INTERPRETATION.txt

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

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

PHASE B OBJECTS:
B_SN1987A
B_SN1993J
B_SN1999em
B_SN2011dh
B_SN2012aw
B_SN2013ej

PHASE B PROCESSING CHAIN:
raw supernova 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 REVIEW STATUS:
Comparable objects: 1
Scale-review-needed objects: 5
High-tail/high-kappa attention objects: 1

PHASE B SPECIAL CASE:
SN2012aw remained the main high-tail/high-kappa attention object in the
light-curve layer.

PHASE C DATA TYPE:
Observed post-collapse spectral time-series data converted into spectral
line-window structural ladders.

PHASE C SOURCE:
WISeREP public spectra.

PHASE C PILOT OBJECTS:
C1_SN1993J
C2_SN2012aw

PHASE C PROCESSING CHAIN:
raw WISeREP spectra
→ spectral line-window 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 C STRUC-PERC-I RESULT:
C1_SN1993J_numeric_ladder.txt:
FULL_PERCOLATION
κ_connect = 201.4048389456797
tailDominance = 0.5700456253569127
n = 685

C2_SN2012aw_numeric_ladder.txt:
FULL_PERCOLATION
κ_connect = 3992.353936889229
tailDominance = 0.9594287169370818
n = 198

PHASE C REVIEW STATUS:
Comparable objects: 0
Scale-review-needed objects: 2
High-tail-attention objects: 1
High-kappa-attention objects: 1

PHASE C SPECIAL CASE:
C2_SN2012aw remained a high-tail/high-kappa attention object in the spectral
layer.

BRIDGE METHOD:
The bridge compared Phase B and Phase C 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 B–C vector comparison
2. Domain centroid comparison
3. Object-matched alignment for overlapping objects
4. Bridge interpretation summary

PRIMARY DOMAIN RESULT:
Centroid distance = 1.31753512889

Centroid separation label:
strong_separation

PRIMARY INTERPRETATION:
The current processed dataset shows strong separation between the Phase B
light-curve response domain and the Phase C spectral line-evolution domain.

This means the brightness-response and spectral-line channels are not redundant
representations of the same structural vector geometry. They encode distinct
post-collapse observable regimes.

CLOSEST B–C PAIR:
B_SN2012aw ↔ C1_SN1993J

Distance:
0.64829362306

Interpretation:
cross-object weak separation

MOST SEPARATED B–C PAIR:
B_SN1987A ↔ C2_SN2012aw

Distance:
2.6457282231

Interpretation:
cross-object strong separation

OBJECT-MATCHED ALIGNMENT:
Mean object-matched distance = 1.31770171513
Mean all-pair B–C distance = 1.59818652776

SN1993J MATCHED PAIR:
B_SN1993J ↔ C1_SN1993J

Distance:
0.712109467708

Matched pair nearest?
yes

Interpretation:
SN1993J behaves coherently across B and C: its spectral counterpart is the
nearest spectral counterpart to its light-curve vector. This supports the
contact-case pilot role for SN1993J.

SN2012aw MATCHED PAIR:
B_SN2012aw ↔ C2_SN2012aw

Distance:
1.92329396256

Matched pair nearest?
no

Interpretation:
SN2012aw remains special, but not as a simple same-object light-curve ↔ spectral
contact. Its spectral vector is strongly separated and does not align nearest
to its own B-layer vector.

NOTABLE PATTERNS:
1. B and C are strongly separated at the domain-centroid level.

2. SN1993J preserves object-matched coherence across the light-curve and
   spectral layers.

3. SN2012aw preserves special/outlier status, but the B and C manifestations
   are not nearest-neighbor aligned.

4. The spectral layer adds new structural information rather than merely
   duplicating the light-curve layer.

5. SN2012aw remains a sensitivity candidate for later A–B–C analysis.

RELATION TO A–B BRIDGE:
The A–B bridge found weak separation between pre-supernova radial profiles and
post-collapse light-curve responses.

The B–C bridge found strong separation between post-collapse light-curve
responses and post-collapse spectral line evolution.

Together, these results suggest that the stellar boundary-dynamics corpus is
not collapsing into a single observational coordinate. Different observable
layers occupy distinct but comparable structural regions.

UNNS INTERPRETATION:
The B–C bridge tests whether two post-boundary observable channels share a
common structural relaxation geometry.

Phase B:
brightness-response ladder

Phase C:
spectral line-evolution ladder

Bridge:
reviewed vector comparison across two post-collapse observational channels.

The result indicates that post-collapse relaxation is multi-channel:
brightness response and spectral element-line evolution remain structurally
connected internally but separate from each other in reviewed vector space.

VALID CLAIMS:
The B–C bridge is complete.

B and C are strongly separated in reviewed v2 structural-vector space.

SN1993J shows object-matched coherence across light-curve and spectral layers.

SN2012aw remains structurally special across the broader program, but its
light-curve and spectral forms are not nearest-neighbor aligned.

The spectral layer adds independent structural information to the corpus.

INVALID CLAIMS:
Do not claim that spectral line-window proxies are direct abundance
measurements.

Do not claim radiative-transfer modeling.

Do not claim direct nucleosynthesis yield recovery.

Do not claim object-by-object progenitor reconstruction from B–C vector
proximity alone.

Do not claim physical causation from vector distance alone.

SCIENTIFIC LIMITATION:
Phase C currently contains only two pilot spectral objects:
SN1993J
SN2012aw

The B–C bridge is therefore a pilot bridge, not a population-level spectral
survey.

The spectral line-window features are structural proxies. They should be treated
as comparative observables, not as complete abundance maps.

NEXT PIPELINE STEP:
Proceed to the A–B–C tri-domain bridge.

NEXT BRIDGE:
ABC_bridge

REQUIRED INPUTS:
A_mesa_precollapse_tracks/alpha_application/normalization_review/A_5D_VECTOR_SUMMARY_v2.csv
B_supernova_light_curves/alpha_application/normalization_review/B_5D_VECTOR_SUMMARY_v2.csv
C_spectral_time_series/alpha_application/normalization_review/C_5D_VECTOR_SUMMARY_v2.csv

NEXT OUTPUT TARGET:
ABC_bridge/
  ABC_BRIDGE_INDEX.txt
  inputs/
    A_5D_VECTOR_SUMMARY_v2.csv
    B_5D_VECTOR_SUMMARY_v2.csv
    C_5D_VECTOR_SUMMARY_v2.csv
  comparisons/
  summaries/

STATUS:
B–C bridge complete.
Ready for A–B–C tri-domain bridge initialization.
