# B_ALPHA_APPLICATION_INTERPRETATION.txt
# STELLAR_BOUNDARY_DYNAMICS_I
# Phase B — Alpha-Application / 5D Vector Interpretation

PHASE:
B_supernova_light_curves

STAGE:
alpha_application / deformation-grid interpretation

INPUT_FILES:
B_5D_VECTOR_SUMMARY.csv
B_ALPHA_APPLICATION_SUMMARY.csv

ALPHA_GRID:
α_min = 0.50
α_max = 1.50
α_points = 21

PRIMARY RESULT:
All six Phase B pilot objects were converted successfully into α-deformation
grids and 5D structural vectors.

All six objects show collapse_observed = yes under the first-pass
deformation criterion. This does not mean the light curves physically fail.
It means the compact structural representation crosses the current
script-defined instability threshold somewhere inside the tested α interval.

IMPORTANT CAUTION:
The anisotropic_persistence values are extremely large for some objects,
especially SN2011dh, SN2012aw, and SN2013ej. This is likely caused by
scale sensitivity in slope/curvature-derived features. These values should
be treated as diagnostic flags, not final physical claims, until the next
normalization pass is performed.

SUMMARY TABLE:

OBJECT        mean_GR      var_GR       anisotropic_persistence  admissibility_persistence  collapse_radius  κ_connect_ref  tail_ref
SN1987A      0.511545     0.367679     0.983796                  0.880952                  0.15             0.421697       0
SN1993J      0.270649     0.0912456    238.183                   0.676633                  0.05             0.421697       0
SN1999em     0.322674     0.128455     1.63928                   0.870013                  0.1              0.177828       0
SN2011dh     0.301215     0.119883     92624.6                   0.846154                  0.05             1              0
SN2012aw     0.636499     1.6651       1.92205e+06               0.778468                  0.05             4.4            0.329015
SN2013ej     0.499337     0.502211     2.797e+11                 0.749351                  0.05             0.316228       0

RANKING BY ADMISSIBILITY PERSISTENCE:
1. SN1987A — 0.880952
2. SN1999em — 0.870013
3. SN2011dh — 0.846154
4. SN2012aw — 0.778468
5. SN2013ej — 0.749351
6. SN1993J — 0.676633

RANKING BY LOWEST MEAN GAP RESPONSE:
1. SN1993J — mean_GR = 0.270649
2. SN2011dh — mean_GR = 0.301215
3. SN1999em — mean_GR = 0.322674
4. SN2013ej — mean_GR = 0.499337
5. SN1987A — mean_GR = 0.511545
6. SN2012aw — mean_GR = 0.636499

RANKING BY LOWEST GAP-RESPONSE VARIANCE:
1. SN1993J — var_GR = 0.091246
2. SN2011dh — var_GR = 0.119883
3. SN1999em — var_GR = 0.128455
4. SN1987A — var_GR = 0.367679
5. SN2013ej — var_GR = 0.502211
6. SN2012aw — var_GR = 1.665098

RANKING BY LATEST COLLAPSE ONSET RADIUS:
1. SN1987A — collapse_onset_radius = 0.150000
2. SN1999em — collapse_onset_radius = 0.100000
3. SN1993J — collapse_onset_radius = 0.050000
4. SN2011dh — collapse_onset_radius = 0.050000
5. SN2012aw — collapse_onset_radius = 0.050000
6. SN2013ej — collapse_onset_radius = 0.050000

OBJECT-SPECIFIC INTERPRETATION:

SN1987A:
  admissibility_persistence = 0.880952
  mean_GR = 0.511545
  var_GR = 0.367679
  anisotropic_persistence = 0.983796
  collapse_onset_radius = 0.150000
  κ_connect_reference = 0.421697
  tail_dominance_reference = 0.000000
  Interpretation: strongest persistence in the pilot set and latest collapse onset.
  It remains the Phase B anchor object.

SN1993J:
  admissibility_persistence = 0.676633
  mean_GR = 0.270649
  var_GR = 0.091246
  anisotropic_persistence = 238.183
  collapse_onset_radius = 0.050000
  κ_connect_reference = 0.421697
  tail_dominance_reference = 0.000000
  Interpretation: most fragile by admissibility persistence in this first α run despite full STRUC-PERC-I percolation.

SN1999em:
  admissibility_persistence = 0.870013
  mean_GR = 0.322674
  var_GR = 0.128455
  anisotropic_persistence = 1.63928
  collapse_onset_radius = 0.100000
  κ_connect_reference = 0.177828
  tail_dominance_reference = 0.000000
  Interpretation: strong plateau-regime stability; low κ_connect and high admissibility persistence.

SN2011dh:
  admissibility_persistence = 0.846154
  mean_GR = 0.301215
  var_GR = 0.119883
  anisotropic_persistence = 92624.6
  collapse_onset_radius = 0.050000
  κ_connect_reference = 1.000000
  tail_dominance_reference = 0.000000
  Interpretation: good persistence, but very high anisotropic diagnostic value; slope/curvature normalization should be checked.

SN2012aw:
  admissibility_persistence = 0.778468
  mean_GR = 0.636499
  var_GR = 1.665098
  anisotropic_persistence = 1.92205e+06
  collapse_onset_radius = 0.050000
  κ_connect_reference = 4.400000
  tail_dominance_reference = 0.329015
  Interpretation: remains the main sensitivity candidate. It had high κ_connect/tail dominance in STRUC-PERC-I and now shows elevated mean_GR/var_GR with reduced persistence.

SN2013ej:
  admissibility_persistence = 0.749351
  mean_GR = 0.499337
  var_GR = 0.502211
  anisotropic_persistence = 2.797e+11
  collapse_onset_radius = 0.050000
  κ_connect_reference = 0.316228
  tail_dominance_reference = 0.000000
  Interpretation: transition-rich object with reduced persistence and extreme anisotropic diagnostic value; requires normalization review.

PHASE B FINDINGS:

1. STRUC-PERC-I percolation and α-stability are not identical.
   All six objects fully percolated, but α-deformation separated them by
   admissibility persistence, gap response, variance, and collapse onset.

2. SN1987A is the strongest anchor.
   It has the highest admissibility persistence and the latest collapse
   onset radius in this first α-grid.

3. SN1999em is the strongest plateau-like comparison object.
   It combines low κ_connect, high admissibility persistence, and relatively
   moderate deformation response.

4. SN2012aw remains structurally special.
   It fully percolated, but required κ_connect ≈ 4.4 and had tail dominance
   ≈ 0.329. The α-vector also marks it as high-response / high-variance.

5. SN1993J and SN2013ej are the weakest persistence cases in this first α run.
   They should not be called failures, but they are less stable under the
   current deformation metric.

6. The very large anisotropic_persistence values indicate that Phase B now
   needs a normalization refinement before final scientific comparison.

UNNS INTERPRETATION:

The Phase B pilot now shows a two-layer structure:

Layer 1 — Percolation:
All six observed post-collapse light-curve ladders are connected under
STRUC-PERC-I. This supports their use as real boundary-response ladders.

Layer 2 — Deformation:
Under α-application, the objects separate into different stability regimes.
This is exactly the useful regime: the pilot does not merely say pass/fail;
it begins to rank the geometry of post-collapse relaxation.

NEXT STEP:
Create a normalization-review step for the α vectors before using them for
A–B comparison. Specifically:

1. Inspect slope and curvature scales inside the α grids.
2. Normalize anisotropic_persistence with a robust bounded transform.
3. Recompute B_5D_VECTOR_SUMMARY_v2.csv.
4. Then compare Phase A MESA pre-collapse vectors with Phase B light-curve
   post-collapse vectors.

STATUS:
Phase B α-application complete.
Interpretation complete.
Normalization-review step recommended before final A–B bridge.