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FROSTYVERSE TEST H2-085 — STRUCTURAL FOUR / SIX-SUPPORT FROSTNODE MULTIPLICITY AUDIT
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version:  2.0.85-structural-four-six-support-node-audit
patch:    h2-084-six-support-transverse-opening-structural-four-plus-frozen-benchmarks-1
baseline: Frostyverse-Test-H2-084.zip sha256=688563ed2557313cfc98c7c8994364ab729c7adc897aefbf664ce1246413623b
python:   3.10.6
profile:  full; R=(20, 40, 80); ledger samples=32768; structural samples=512; workers=6

TEST 01 - CONTRACT / WHAT COUNTS AS A STRUCTURAL FOUR
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R01  [KNOWN-2D]  Existing stable FV remains approximately +2D; H2-085 seeks a coefficient-free structural source for the missing multiplier.
R02  [NO-FITTED-FOUR]  Primary structural candidates do not contain or fit the target 4; the target appears only as an external comparison ruler.
R03  [INHERITED-SIX-SUPPORT]  Use the pre-existing H-021 six incident FrostSegment support geometry and actual FQ transverse-opening rule.
R04  [DEFORMED-GRID]  Recompute the six physical support directions in the inherited deformed FrostGrid around each orbit; do not assume perfect cube geometry after the ideal audit.
R05  [INDEPENDENT-BODY]  Each planet uses its own orbit and local FrostGrid geometry. No Mercury state enters Earth/Venus/Mars.
R06  [D-WEIGHTED]  The primary structural coefficient is the six-support transverse-square multiplicity averaged with the existing D response weight around that body's orbit.
R07  [NEGATIVE-CONTROLS]  Three one-sided axes, four planar supports, and eight body diagonals are audited so an arbitrary support count cannot masquerade as the desired multiplicity.
R08  [ROTATION-RESOLUTION]  XY, XZ, and oblique planes plus R transfer test whether the structural multiplier is a 3D FV property rather than grid-axis tuning.
R09  [FROZEN-BENCHMARKS]  Carry forward the best pure-two-mass, mass+well, and non-hard-coded-4 well formulas exactly as frozen benchmarks; do not refit them.
R10  [LIMITATION]  A surviving structural four would explain a natural multiplicity available to a black-box closure, not yet derive the microscopic coupling that makes it multiply D.

TEST 02 - IDEAL FQ / FROSTNODE STRUCTURAL IDENTITY + NEGATIVE CONTROLS
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  S6_from_FQ_openings          mean=4.000000000000 min=4.000000000000 max=4.000000000000 std=5.265e-16
  SIX_NODE_SUPPORTS            mean=4.000000000000 min=4.000000000000 max=4.000000000000 std=2.204e-16
  THREE_ONE_SIDED_AXES         mean=2.000000000000 min=2.000000000000 max=2.000000000000 std=1.035e-16
  FOUR_PLANAR_SUPPORTS         mean=2.652022946860 min=2.000000000000 max=3.937988281250 std=5.906e-01
  EIGHT_BODY_DIAGONALS         mean=5.333333333333 min=5.333333333333 max=5.333333333333 std=1.265e-15
  ideal six-support multiplicity vs external target: 4.000000000000  relerr=0.000000000%

TEST 03 - REBUILD INHERITED FV LEDGER + ACTUAL DEFORMED SUPPORT FRAMES
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  building inherited FV field/profile R=20 ...
    Mercury stable/D=+2.002165376 required missing/D=+3.997834624 structural S6_Dw=+4.000000097
  building inherited FV field/profile R=40 ...
    Mercury stable/D=+2.001840588 required missing/D=+3.998159412 structural S6_Dw=+4.000000012
  building inherited FV field/profile R=80 ...
    Mercury stable/D=+2.002348001 required missing/D=+3.997651999 structural S6_Dw=+4.000000002
  SEALED structural ledger fingerprint: 80859ea59f941c3308c260945727a3cb4c1bec3d7e778d5bb3090345ce8e8128

TEST 04 - APPLY STRUCTURAL S6 AS THE MISSING-D MULTIPLIER
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  MERCURY    required C=+3.997651999  structural C=+4.000000002  total err=+0.03913%
  VENUS      required C=+3.986821296  structural C=+4.000000000  total err=+0.21965%
  EARTH_EMB  required C=+3.999740457  structural C=+4.000000000  total err=+0.00433%
  MARS       required C=+3.999283199  structural C=+4.000000000  total err=+0.01195%

TEST 05 - ROTATION / RESOLUTION / FRAME-DEFORMATION AUDIT
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  worst real-body orientation relative span in structural C = 0.000001%
  Mercury structural total-error max across R            = 0.039133%
  max local six-support frame isotropy error             = 1.935386e-07
  max opposing-pair direction error                      = 1.251157e-08

TEST 06 - FROZEN PRIOR FUNCTIONS VS STRUCTURAL MULTIPLICITY
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  H2-083_PURE_TWO_MASS                 named=2.17347% synthetic=1.88547%
  H2-084_MASS_GEOM                     named=1.83406% synthetic=1.87819%
  H2-084_NATIVE_GEOM                   named=1.20778% synthetic=1.68669%
  CONST_4_DIAGNOSTIC                   named=0.21965% synthetic=0.22814%
  STRUCTURAL_SIX_SUPPORT_DWEIGHTED     named=0.21965% synthetic=0.22814%

TEST 07 - H2-085 DECISION
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  ideal inherited H-021 six-support identity produces target multiplicity: True
  deformed structural named R80 max total error:       0.219645%
  deformed structural synthetic R80 max total error:   0.228141%
  Mercury resolution max total error:                     0.039133%
  rotation relative-span gate:                            0.000001%
  negative support-topology controls separated from 4:    True
  verdict: STRUCTURAL SIX-SUPPORT FOUR SURVIVES AS A COEFFICIENT-FREE FV MULTIPLICITY CLUE
  status:  PROMISING BLACK-BOX ORIGIN FOR WHY THE MISSING CLOSURE IS ~4D; MICROSCOPIC COUPLING TO D STILL NOT DERIVED
  SEALED H2-085 final fingerprint: 08b692926624561af9215f9c0a430a53bd87b3c3a86bddccf091762a468ecb26

Interpretation guardrails:
  - The structural coefficient is computed from FrostNode/FrostSegment geometry, not fitted to Mercury or another planet.
  - A passing result would give a concrete reason a factor near four is available inside FV, while leaving the actual FrostTransit-to-D coupling black-box/provisional.
  - The frozen H2-083/H2-084 equations remain in the CSV comparison so the best empirical alternatives are not lost.

H2-085 complete. Return h2-085results.txt first; CSVs are optional unless a row needs verification.
