# A_STRUC_PERC_I_RESULTS_INTERPRETATION.txt
# STELLAR_BOUNDARY_DYNAMICS_I
# Phase A — STRUC-PERC-I Result Interpretation

PHASE:
A_mesa_precollapse_tracks

STAGE:
STRUC-PERC-I batch evaluation of real pre-supernova radial-profile numeric ladders

INPUT_LAYER:
Phase A real pre-supernova model profiles were reduced through the following chain:

Zenodo 5556959 pre-supernova profile .data files
→ Phase A pre-supernova radial profile ladder CSV
→ compact STRUC-PERC-I canonical input CSV
→ pure numeric STRUC-PERC-I ladder TXT
→ STRUC-PERC-I v2.5.0 batch run

SOURCE_DATA:
Different to the core: the pre-supernova structures of massive single and binary-stripped stars
Zenodo record:
https://zenodo.org/records/5556959

SELECTED REAL PRE-SUPERNOVA MODELS:
A1:
profile_single_M12.09_128net.data

A2:
profile_single_M19.98_128net.data

INPUT_FILES:
struc_perc_i/numeric_ladders/A1_12M_numeric_ladder.txt
struc_perc_i/numeric_ladders/A2_20M_numeric_ladder.txt

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

PRIMARY RESULT:
Both real Phase A pre-supernova radial-structure numeric ladders returned
FULL_PERCOLATION.

SUMMARY TABLE:

OBJECT        VERDICT            GIANT_RATIO   ISOLATED   κ_CONNECT   n    TAIL_DOMINANCE
A1 12M        FULL_PERCOLATION   1.000000      0          2.000000    64   0.000000
A2 20M        FULL_PERCOLATION   1.000000      0          1.000000    64   0.000000

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

PHASE A INTERPRETATION:
The selected real pre-supernova radial profiles form connected structural
ladders under STRUC-PERC-I.

This means the compact radial structural reductions of the 12M and 20M
pre-supernova profiles do not fragment under the tested percolation criterion.
They are usable as connected pre-boundary stellar-structure ladders for the next
Phase A processing stage.

IMPORTANT DISTINCTION:
These are real pre-supernova radial profile structures, not MESA inlist
scaffolds and not time-resolved MESA history tracks.

They encode radial structure at the selected pre-supernova model state:
surface/envelope
outer shell
intermediate shell
inner shell
core boundary
inner core
central core

They do not by themselves encode the full time evolution from pre-main sequence
to collapse. They provide a real terminal/pre-supernova structural snapshot.

OBJECT-SPECIFIC NOTES:

A1 12M:
Selected file:
profile_single_M12.09_128net.data

STRUC-PERC-I result:
FULL_PERCOLATION
κ_connect = 2
n = 64
tailDominance = 0

Interpretation:
The 12M selected single-star pre-supernova radial profile is connected under
STRUC-PERC-I, but it requires a larger connection scale than the 20M profile.
This suggests a less compact radial structural-gap ladder under the current
reduction.

A2 20M:
Selected file:
profile_single_M19.98_128net.data

STRUC-PERC-I result:
FULL_PERCOLATION
κ_connect = 1
n = 64
tailDominance = 0

Interpretation:
The 20M selected single-star pre-supernova radial profile is connected under
STRUC-PERC-I with a lower connection scale than A1. Under the current reduction,
the 20M profile has a more compact percolating radial ladder.

COMPARISON WITH PHASE B STATUS:
Phase B supernova light-curve ladders also reached FULL_PERCOLATION, but Phase
B showed object-level separation after α-application and normalization review.

Phase A has now reached the STRUC-PERC-I layer but has not yet reached:
α-application
5D vector extraction
normalization-reviewed v2 vectors

Therefore A–B comparison is still not valid yet.

UNNS INTERPRETATION:
The Phase A result supports treating the selected pre-supernova profiles as
connected pre-boundary structural ladders.

In UNNS terms:

Φ:
The radial stellar profile can be ordered into a compact structural ladder.

Ψ:
The profile-derived structural gaps admit full vulnerability-graph connectivity.

τ:
The pre-supernova radial configuration preserves connected support/composition
structure up to the selected terminal/pre-supernova model state.

RELATION TO BOUNDARY-DYNAMICS PROGRAM:
This gives the before-boundary side of the stellar boundary-dynamics corpus.

Phase A:
real pre-supernova radial support/composition structure

Phase B:
observed post-collapse brightness-response trajectory

The eventual A–B bridge should test whether the pre-boundary radial structures
and post-boundary light-curve responses occupy compatible, separated, or
transition-linked regions of structural-vector space.

CURRENT VALID CONCLUSION:
The real Phase A selected profiles are STRUC-PERC-I admissible at the
percolation layer.

CURRENT INVALID CONCLUSION:
Do not yet claim that A and B have been compared.
Do not yet claim that the pre-collapse profile predicts the post-collapse light
curve.
Do not yet claim a full time-resolved margin-collapse trajectory for Phase A,
because these profile files are terminal/pre-supernova snapshots rather than
history.data time-series tracks.

NEXT PIPELINE STEP:
Run Phase A α-application on the compact STRUC-PERC-I canonical inputs.

NEXT SCRIPT:
tools/a_alpha_apply.py

NEXT INPUTS:
struc_perc_i/canonical_inputs/A1_12M_struc_perc_input.csv
struc_perc_i/canonical_inputs/A2_20M_struc_perc_input.csv

NEXT OUTPUT TARGETS:
alpha_application/grids/A1_12M_alpha_grid.csv
alpha_application/grids/A2_20M_alpha_grid.csv

alpha_application/vectors/A1_12M_5d_vector.csv
alpha_application/vectors/A2_20M_5d_vector.csv

alpha_application/summaries/A_ALPHA_APPLICATION_SUMMARY.csv
alpha_application/summaries/A_5D_VECTOR_SUMMARY.csv

FOLLOWING STEP:
Phase A normalization review:

alpha_application/normalization_review/
  A_ALPHA_NORMALIZATION_REVIEW.csv
  A_5D_VECTOR_SUMMARY_v2.csv
  A_NORMALIZATION_REVIEW_INTERPRETATION.txt

A–B BRIDGE REQUIREMENT:
The A–B bridge becomes valid only after:

A_mesa_precollapse_tracks/alpha_application/normalization_review/A_5D_VECTOR_SUMMARY_v2.csv

exists and can be compared against:

B_supernova_light_curves/alpha_application/normalization_review/B_5D_VECTOR_SUMMARY_v2.csv

STATUS:
Phase A real pre-supernova profile ladder construction complete.
Phase A STRUC-PERC-I canonical input construction complete.
Phase A numeric ladder construction complete.
Phase A STRUC-PERC-I batch evaluation complete.
Ready for Phase A α-application.
