# B_STRUC_PERC_I_RESULTS_INTERPRETATION.txt
# STELLAR_BOUNDARY_DYNAMICS_I
# Phase B — STRUC-PERC-I Result Interpretation

PHASE:
B_supernova_light_curves

STAGE:
STRUC_PERC_I batch evaluation of Phase B numeric ladders

INPUT_LAYER:
Phase B observed supernova light-curve ladders were reduced through the following chain:

OSC raw JSON
→ Phase B light-curve ladder CSV
→ compact STRUC_PERC_I canonical input CSV
→ pure numeric STRUC-PERC-I ladder TXT
→ STRUC-PERC-I v2.5.0 batch run

INPUT_FILES:
struc_perc_i/numeric_ladders/B_SN1987A_numeric_ladder.txt
struc_perc_i/numeric_ladders/B_SN1993J_numeric_ladder.txt
struc_perc_i/numeric_ladders/B_SN1999em_numeric_ladder.txt
struc_perc_i/numeric_ladders/B_SN2011dh_numeric_ladder.txt
struc_perc_i/numeric_ladders/B_SN2012aw_numeric_ladder.txt
struc_perc_i/numeric_ladders/B_SN2013ej_numeric_ladder.txt

RESULT_FILES:
struc_perc_i/struc_perc_batch_results.csv
struc_perc_i/struc_perc_batch_results.json

PRIMARY RESULT:
All six Phase B pilot supernova numeric ladders returned FULL_PERCOLATION.

SUMMARY TABLE:

OBJECT        VERDICT            GIANT_RATIO   ISOLATED   κ_CONNECT        n
SN 1987A      FULL_PERCOLATION   1.000000      0          0.4216965034     34
SN 1993J      FULL_PERCOLATION   1.000000      0          0.4216965034     37
SN 1999em     FULL_PERCOLATION   1.000000      0          0.1778279410     36
SN 2011dh     FULL_PERCOLATION   1.000000      0          1.0000000000     45
SN 2012aw     FULL_PERCOLATION   1.000000      0          4.4000000000     80
SN 2013ej     FULL_PERCOLATION   1.000000      0          0.3162277660     95

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

UNNS INTERPRETATION:
The first Phase B pilot set shows that observed post-collapse supernova
brightness trajectories, after conversion into compact phase-gap ladders,
form connected vulnerability-graph structures under STRUC-PERC-I v2.5.0.

This means the six observed light-curve objects do not behave like adversarial
or broken ladders at the percolation layer. They preserve enough structural
continuity to reach full percolation.

BOUNDARY-DYNAMICS INTERPRETATION:
These ladders represent observable post-boundary response, not the hidden
pre-collapse stellar interior. The result says that the brightness-response
trajectory after collapse/explosion can be represented as a connected structural
relaxation ladder.

In project terms:

observed post-collapse light curve
→ phase-local brightness gaps
→ cumulative numeric ladder
→ full vulnerability-graph percolation

This supports the use of supernova light curves as boundary-response trajectories
within the UNNS Substrate / STRUC-PERC-I workflow.

IMPORTANT DISTINCTION:
FULL_PERCOLATION does not prove that every astrophysical detail is physically
explained by the ladder. It establishes that the reduced observable trajectory
is structurally connected under the STRUC-PERC-I percolation criterion.

OBJECT-SPECIFIC NOTES:

SN 1987A:
Anchor object. Full percolation with κ_connect ≈ 0.4217.
Acts as the first boundary-response reference case.

SN 1993J:
Type IIb / stripped-envelope comparison object.
Full percolation with κ_connect ≈ 0.4217.
Structurally close to SN 1987A at the κ_connect level in this reduction.

SN 1999em:
Plateau-regime Type II-P comparison object.
Full percolation with the lowest κ_connect in the pilot set:
κ_connect ≈ 0.1778.
This suggests an especially compact connected phase-gap structure in the
current reduction.

SN 2011dh:
Type IIb / stripped-envelope comparison object.
Full percolation with κ_connect = 1.0.
This indicates a larger deformation scale is needed than for SN 1987A,
SN 1993J, SN 1999em, or SN 2013ej, but the ladder still fully connects.

SN 2012aw:
Plateau-regime comparison object.
Full percolation, but with κ_connect ≈ 4.4 and tailDominance ≈ 0.329.
This is the main structural outlier of the pilot set.

Interpretation:
SN 2012aw does not fail; it reaches full percolation. However, it requires a
substantially larger connection scale, and its tail accounts for about 32.9%
of the gap budget. This makes it a candidate for deeper inspection during
alpha-application and deformation-grid analysis.

SN 2013ej:
Transition-rich Type II object.
Full percolation with κ_connect ≈ 0.3162.
This places it between the very compact SN 1999em case and the higher-scale
SN 1987A / SN 1993J cases.

PILOT-SET CONCLUSION:
The first six Phase B supernova light-curve ladders are percolating, connected,
and non-fragmentary under the STRUC-PERC-I v2.5.0 batch analyzer.

The strongest result is not merely that each object passed individually, but
that the whole pilot set — including Type II-P, Type IIb, peculiar Type II, and
transition-rich Type II behavior — remained structurally connected after the
same canonical reduction.

RELATION TO UNNS SUBSTRATE:
The result supports the hypothesis that real physical boundary-response
trajectories occupy connected admissible regions rather than adversarial
fragmented regimes.

Within the UNNS Substrate language:

Φ:
The light-curve phase structure can be ordered into a cumulative ladder.

Ψ:
The gap distribution admits full vulnerability-graph connectivity.

τ:
The observed post-collapse trajectory preserves relaxation continuity rather
than fragmenting into disconnected structural regimes.

STRUC-PERC-I ROLE:
STRUC-PERC-I has now served as the first percolation test for Phase B.
The output justifies moving from static ladder construction to deformation
analysis.

NEXT PIPELINE STEP:
alpha_application / deformation-grid construction

NEXT TARGET STRUCTURE:
B_supernova_light_curves/
  alpha_application/
    ALPHA_APPLICATION_INDEX.txt
    grids/
    vectors/
    summaries/

NEXT SCRIPT:
tools/b_alpha_apply.py

NEXT COMPUTATIONAL OBJECT:
Each Phase B STRUC-PERC-I canonical input should be subjected to α-deformation
over the compact structural features:

gap
duration_days
mag_range
mean_slope
mean_curvature
phase order
band-local persistence

EXPECTED OUTPUTS:
alpha_application/grids/B_SN1987A_alpha_grid.csv
alpha_application/grids/B_SN1993J_alpha_grid.csv
alpha_application/grids/B_SN1999em_alpha_grid.csv
alpha_application/grids/B_SN2011dh_alpha_grid.csv
alpha_application/grids/B_SN2012aw_alpha_grid.csv
alpha_application/grids/B_SN2013ej_alpha_grid.csv

alpha_application/vectors/B_SN1987A_5d_vector.csv
alpha_application/vectors/B_SN1993J_5d_vector.csv
alpha_application/vectors/B_SN1999em_5d_vector.csv
alpha_application/vectors/B_SN2011dh_5d_vector.csv
alpha_application/vectors/B_SN2012aw_5d_vector.csv
alpha_application/vectors/B_SN2013ej_5d_vector.csv

alpha_application/summaries/B_ALPHA_APPLICATION_SUMMARY.csv
alpha_application/summaries/B_5D_VECTOR_SUMMARY.csv

STATUS:
Phase B source acquisition complete.
Phase B raw JSON acquisition complete.
Phase B light-curve ladder construction complete.
Phase B STRUC-PERC-I canonical input construction complete.
Phase B numeric ladder construction complete.
Phase B STRUC-PERC-I batch evaluation complete.
Ready for alpha-application / deformation-grid construction.
