docs: align XPBD-softness framing with convergence data#1
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…ll descending, no plateau); label substep stability floor Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01714VdvQgrff4yNTzjgThnZ
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Text-only framing edits ahead of peer review. No data, code, or logic touched — only markdown prose in
.mdfiles and notebook markdown cells.What changed
30_convergence.ipynb— XPBD framing now matches the convergence data: the equilibrium residual falls monotonically and the tip is still descending at the largest budget tested (no plateau); per-doubling gains shrink so closing the residual gets progressively more expensive. Added a note labelling thesubsteps = 4point as a dt stability-floor artefact, not a convergence data point.10_hanging_bar.ipynb— reworded the XPBD clause in the Takeaway to "leaves a finite equilibrium residual at any fixed budget; more iterations drive it down but the cost grows." VBD sentence unchanged.docs/STATUS.md— "clearly-broken numeric" → "clearly-unstable numeric".docs/METHOD.md— "too poor to represent those modes" → "too stiff to represent those modes".README.md— replaced the gotcha headline with a neutral benchmark title (marked with a<!-- headline: confirm wording -->comment for confirmation).Verification
nbformatJSON.ruff check .passes; edits touch no code.🤖 Generated with Claude Code
https://claude.ai/code/session_01714VdvQgrff4yNTzjgThnZ
Generated by Claude Code