# C_STRUC_PERC_I_RESULTS_INTERPRETATION.txt
# STELLAR_BOUNDARY_DYNAMICS_I
# Phase C — STRUC-PERC-I Result Interpretation

PHASE:
C_spectral_time_series

STAGE:
STRUC-PERC-I batch evaluation of spectral line numeric ladders

RESULT STATUS:
Phase C pilot STRUC-PERC-I run completed.

INPUT_LAYER:
WISeREP public spectra were processed through the following chain:

raw WISeREP spectral files
→ spectral line-window ladder CSV
→ STRUC-PERC-I canonical input CSV
→ numeric STRUC-PERC-I ladder TXT
→ STRUC-PERC-I batch result

PILOT OBJECTS:
C1_SN1993J
C2_SN2012aw

PHASE C ROLE:
Test whether post-collapse spectral element-line evolution supports the
contact/outlier pattern seen in the A–B bridge.

A–B CONTEXT:
SN1993J was the closest Phase B light-curve object to A2_20M in the A–B bridge.
SN2012aw was the strongest outlier / special case in Phase B and remained the
most separated object in the A–B bridge context.

INPUT FILES:
struc_perc_i/numeric_ladders/C1_SN1993J_numeric_ladder.txt
struc_perc_i/numeric_ladders/C2_SN2012aw_numeric_ladder.txt

RESULT FILES:
struc_perc_i/struc_perc_batch_results.csv
struc_perc_i/struc_perc_batch_results.json

PRIMARY RESULT:
Both Phase C pilot spectral numeric ladders returned FULL_PERCOLATION.

SUMMARY TABLE:

OBJECT        VERDICT            GIANT_RATIO   ISOLATED   κ_CONNECT       n     TAIL_DOMINANCE
C1_SN1993J    FULL_PERCOLATION   1.000000      0          201.404839      685   0.570046
C2_SN2012aw   FULL_PERCOLATION   1.000000      0          3992.353937     198   0.959429

RUN STATUS:
Both runs completed.
Both runs reached giantRatio = 1.
Both runs returned isolated = 0.
Both runs returned FULL_PERCOLATION.

OBJECT-SPECIFIC INTERPRETATION:

C1_SN1993J:
Input:
C1_SN1993J_numeric_ladder.txt

STRUC-PERC-I result:
FULL_PERCOLATION
κ_connect = 201.4048389456797
n = 685
tailDominance = 0.5700456253569127

Interpretation:
SN1993J forms a connected spectral line-evolution ladder under STRUC-PERC-I.
Its κ_connect and tailDominance are elevated relative to the A and B profile /
light-curve layers, but within the Phase C pilot it is the less extreme spectral
case.

This is consistent with the A–B bridge result where SN1993J was the closest
post-collapse light-curve object to the A2_20M pre-supernova profile.

C2_SN2012aw:
Input:
C2_SN2012aw_numeric_ladder.txt

STRUC-PERC-I result:
FULL_PERCOLATION
κ_connect = 3992.353936889229
n = 198
tailDominance = 0.9594287169370818

Interpretation:
SN2012aw also forms a connected spectral line-evolution ladder, but it requires
a much larger κ_connect value and has very high tailDominance.

This confirms that SN2012aw remains structurally extreme in the spectral layer,
not only in the light-curve layer. It should remain flagged as a high-tail /
high-κ special case for Phase C alpha-application and later B–C / A–B–C bridge
work.

COMPARATIVE PHASE C INTERPRETATION:
Both spectral ladders are connected, but their connectivity geometry is strongly
different.

C1_SN1993J:
connected, lower κ_connect, moderate-high tailDominance

C2_SN2012aw:
connected, very high κ_connect, very high tailDominance

This supports the initial Phase C hypothesis:

SN1993J behaves as the contact-like pilot object.
SN2012aw behaves as the outlier/high-tail pilot object.

RELATION TO A–B BRIDGE:
The Phase C STRUC-PERC-I result agrees with the A–B bridge pattern.

A–B bridge:
SN1993J was the closest B object to A2_20M.
SN2012aw was the strongest outlier / most separated special case.

Phase C STRUC-PERC-I:
SN1993J remains connected but less extreme.
SN2012aw remains connected but highly tail-dominated and requires a much larger
connection scale.

This suggests that the contact/outlier distinction is not only a light-curve
artifact. It is also visible in the spectral element-line ladder representation.

UNNS INTERPRETATION:
Phase C adds a third observable layer to the stellar boundary-dynamics dataset.

Phase A:
pre-boundary radial composition/support structure

Phase B:
post-boundary brightness-response trajectory

Phase C:
post-boundary spectral element-line evolution trajectory

The current Phase C result shows that spectral ladders are admissible at the
percolation layer, but with sharply different κ/tail geometry between SN1993J
and SN2012aw.

In UNNS terms:

Φ:
Spectral line-window features can be ordered into connected post-collapse
structural ladders.

Ψ:
The vulnerability graph percolates for both spectral objects.

τ:
The spectral relaxation/redistribution response remains connected, but SN2012aw
shows a much stronger tail-dominated deformation geometry.

VALID CLAIMS:
The Phase C pilot spectra have been converted into spectral line ladders and
processed successfully through STRUC-PERC-I.

Both pilot spectral ladders are FULL_PERCOLATION structures.

SN2012aw remains structurally extreme in the spectral layer.

The C-layer result supports the earlier contact/outlier pattern observed in the
A–B bridge.

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

Do not claim detailed radiative-transfer modeling.

Do not claim direct nucleosynthesis yield prediction.

Do not claim that the pilot pair represents all spectral behavior across
core-collapse supernovae.

Do not claim that STRUC-PERC-I percolation alone proves physical causation.

SCIENTIFIC CAUTION:
The current spectral ladders use line-window proxies extracted from public
spectra. These are structural spectral features, not full abundance maps.

The phase_days field was unavailable in the initial metadata extraction, so the
current ordering is based on spectrum_date and spectrum_id. This is acceptable
for the pilot but should be refined later if rest-frame phase metadata is
recovered.

NEXT PIPELINE STEP:
Run Phase C alpha-application on the STRUC-PERC-I canonical inputs.

NEXT SCRIPT:
tools/c_alpha_apply.py

NEXT INPUTS:
struc_perc_i/canonical_inputs/C1_SN1993J_struc_perc_input.csv
struc_perc_i/canonical_inputs/C2_SN2012aw_struc_perc_input.csv

NEXT OUTPUT TARGETS:
alpha_application/grids/C1_SN1993J_alpha_grid.csv
alpha_application/grids/C2_SN2012aw_alpha_grid.csv

alpha_application/vectors/C1_SN1993J_5d_vector.csv
alpha_application/vectors/C2_SN2012aw_5d_vector.csv

alpha_application/summaries/C_ALPHA_APPLICATION_SUMMARY.csv
alpha_application/summaries/C_5D_VECTOR_SUMMARY.csv

FOLLOWING STEP:
Phase C normalization review:

alpha_application/normalization_review/
  C_ALPHA_NORMALIZATION_REVIEW.csv
  C_5D_VECTOR_SUMMARY_v2.csv
  C_NORMALIZATION_REVIEW_INTERPRETATION.txt

AFTER PHASE C v2:
Construct B–C bridge and then A–B–C tri-domain bridge.

STATUS:
Phase C spectral line ladder extraction complete.
Phase C STRUC-PERC-I input construction complete.
Phase C numeric ladder construction complete.
Phase C STRUC-PERC-I batch evaluation complete.
Ready for Phase C alpha-application.
