Frostyverse — H-102 Local Radial Shell-Template / Field-Compression Audit
============================================================================
version:              1.1.02-local-radial-shell-template-compression-audit
patch:                exact-equal-radius-local-frame-shell-template-cubic-anisotropy-radial-layer-map-p0-1
generated:            2026-08-16T03:53:39
python:               3.13.5
platform:             Linux-6.18.35-x86_64-with-glibc2.41
mode:                 VALIDATION H-102
exact field:          inherited p=0 direct symmetric solution
frozen K:             8.6816265415871847e-05
source:               inherited smooth fractional spherical source
GR scoring/inference: NONE
photon steering:      NOT PART OF THIS TEST
planetary holdout:    SEALED

    [direct field] h100-validation-inherited radius=9.0000 K=10 n=181 nodes=3839 core=0.043 GiB ...
    [direct field] done: equation residual=3.727e-20 time=0.33s
    [memory-lean direct field] h100-validation-memory-lean radius=9.0000 K=10 n=181 nodes=3839 core=0.043 GiB ...
    [memory-lean direct field] done: full-array residual recheck SKIPPED to save one R^3 buffer; time=0.16s
CONSTRUCTION — memory-lean field identity: max |delta|=0.000e+00 shape=True
CONSTRUCTION VERDICT: PASS

TEST 01 — exact equal-radius shell generation + local radial-frame decomposition (GR CLOSED)
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  R=9 building exact p=0 field ...
    [direct field] h102-shell-R9 radius=9.0000 K=10 n=181 nodes=3839 core=0.043 GiB ...
    [direct field] done: equation residual=3.727e-20 time=0.15s
    main shells=11 layer shells=16 sampled cells so far=225 | symmetry spread=3.884e-06
    R=9 field RELEASED
  R=11 building exact p=0 field ...
    [direct field] h102-shell-R11 radius=11.0000 K=10 n=221 nodes=6643 core=0.078 GiB ...
    [direct field] done: equation residual=3.388e-20 time=0.21s
    main shells=11 layer shells=16 sampled cells so far=443 | symmetry spread=2.767e-09
    R=11 field RELEASED
  exact fields inspected                                  = (9, 11)
  exact equal-radius FrostCells sampled                   = 443
  worst cubic sign/permutation invariant spread           = 3.884e-06
  GR opened                                               = NO
  TEST 01 VERDICT: PASS/EXACT-SHELLS-LOCAL-FRAME

TEST 02 — do equal-radius cells collapse to one radial shell template?
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  worst local radial-tensor template error                = 5.498692e-02 relative
    occurred at R=11 rho=1.047429 (6 inequivalent orientations)
  <= 1.0e-02 strong shell-template target                    = False
  <= 1.0e-03 excellent shell-template target                 = False
  R=9   worst template=4.732e-02 | shear=3.215e-02 | tangent split=3.283e-02 | segment=8.850e-01
  R=11  worst template=5.499e-02 | shear=4.732e-02 | tangent split=2.851e-02 | segment=8.507e-01
  TEST 02 VERDICT: PASS/TEMPLATE-MEASURED

TEST 03 — can a tiny cubic-orientation correction explain shell residuals?
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  constant-template worst feature residual                = 6.350654e-02 relative
  q4+q6 leave-one-out worst feature residual              = 2.066240e-01 relative
  median RMS improvement factor                           = 3.600x
  fraction shell/features improved                        = 0.833
  IMPORTANT                                               = q4/q6 model is descriptive only; it never feeds FV
  TEST 03 VERDICT: PASS/ORIENTATION-STRUCTURE-MEASURED

TEST 04 — how smoothly does the shell template change one radial layer at a time?
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  near-surface one-layer linear interpolation worst errors:
    radial strain E_rr                                    = 1.012406e-01 relative
    tangential strain E_tt                                = 9.788583e-02 relative
    radial displacement coefficient                       = 3.718339e-03 relative
  TEST 04 VERDICT: PASS/RADIAL-LAYER-MAP-MEASURED

TEST 05 — optimization interpretation (no field replacement)
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  shell-template worst relative residual                  = 5.498692e-02
  q4/q6 median RMS improvement                            = 3.600x
  recommended next optimization route                     = shell template needs lattice phase, but q4/q6 captures useful structure; build compact radial+cubic correction
  IMPORTANT                                               = H-102 maps computational regularity only; exact FV remains unchanged
  TEST 05 VERDICT: PASS/INTERPRETED

VALIDATION VERDICT: PASS
