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[paper] P9 minor revision: Reviewer B Round 4 fixes - #318

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All 6 Reviewer B Round 4 minor revision issues addressed:

  1. Near-sphere threshold: Removed unsupported ε>0.2 claim. Now honestly states artefactual intercept dominates for ε≲0.5; clean regime is canonical operating range (ε≈0.75).
  2. Basis size ambiguity: Clarified N=Legendre trial functions (N=3,5,7 for sensitivity study; N=5 for main results).
  3. Prolate coordinate clarification: Explicitly states parameter continuation within oblate spheroidal Ritz formulation (no coordinate switch).
  4. Symmetry-preservation honesty: Ritz basis does not preserve exact a↔c exchange symmetry; σ₃(0)=0 inferred from continuous model.
  5. Conservative claim: Replaced misleading wording with direct statement that canonical κ≈69 is computed directly and unaffected by near-sphere artefact.
  6. Table caption: Added ε and c/a definitions.

Tests: 487/487 pass. Paper compiles clean (6 pages).

…reservation, table fixes

Reviewer B Round 4 minor revision — all 6 issues addressed:

Fix 1: Remove unsupported epsilon>0.2 threshold. Replace with honest
statement that artefactual intercept dominates for epsilon<0.5 and the
clean asymptotic regime is the canonical operating range (epsilon~0.75).

Fix 2: Clarify that N refers to Legendre-polynomial trial functions in the
displacement expansion (N=3,5,7 for sensitivity; N=5 for main results).

Fix 3: State explicitly that prolate geometries use parameter continuation
within the oblate spheroidal coordinate Ritz formulation, not a switch to
prolate spheroidal coordinates.

Fix 4: Add symmetry-preservation honesty: the Ritz basis does not preserve
exact a<->c exchange symmetry; sigma_3(0)=0 must be inferred from the
continuous model.

Fix 5: Remove misleading 'conservative' claim. Replace with direct
statement that canonical oblate condition numbers are computed directly and
unaffected by the near-sphere artefact.

Fix 6: Add epsilon and c/a definitions to Table 1 caption.

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
@JonathanMace
JonathanMace merged commit 7b7e857 into main Mar 31, 2026
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JonathanMace deleted the p9-minor-rev branch March 31, 2026 18:28
JonathanMace added a commit that referenced this pull request Mar 31, 2026
- P9: Major revision → Submission-ready (4 rounds Reviewer B, PR #318+#320)
- P10: Draft → Submission-ready (theorems PR #314, figures #315/#321, polish #317)

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
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