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test(cliffs): show Vulcanus's residual is NOT the threshold effect Nauvis's is - #34

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Jul 28, 2026
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test(cliffs): show Vulcanus's residual is NOT the threshold effect Nauvis's is#34
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Follow-up to #33, which attributed Nauvis's ~6% cliff residual to threshold sensitivity in the field. The obvious next move is to assume the same of Vulcanus's much larger gap. I measured instead, and it does not hold.

Same boundary-proximity test, run against the smoothed field the gate actually sees, normalised by each planet's own interval so the 40-vs-120 difference doesn't do the talking:

matched, median / interval mismatched separation
Nauvis 123456 0.60% 0.18% 3.4x
Vulcanus [0,0] 3.7% 1.5% 2.4x
Vulcanus [1500,1500] 5.4% 3.9% 1.4x
Vulcanus [-1200,800] 5.3% 2.2% 2.4x

The effect is present on Vulcanus - wrong cells are consistently nearer a boundary than right ones - but far weaker, and they are not knife-edge: 1.5-3.9% of an interval against Nauvis's 0.18%, an order of magnitude out.

So a field-precision fix would not close Vulcanus's residual. Whatever is left there is structural and still unidentified. That's worth knowing before anyone spends a session chasing f32-vs-f64 on the assumption it fixes both planets.

Pinned as a test rather than left as a note, deliberately: generalising a Nauvis result to both planets is the exact mistake that made cliff_smoothing cost two months ("a no-op in this path" - true of Nauvis only). Also pins Nauvis's own knife-edge figure so the two assertions read as a matched pair.

Tests and notes only, no src/ change. pnpm run verify: 1182 passed, 0 failed.

🤖 Generated with Claude Code

https://claude.ai/code/session_016vZjgASLZyxUfXx1dsq2HX

…uvis's is

Follow-up to #33, which attributed Nauvis's ~6% cliff residual to threshold
sensitivity in the field. The obvious next move is to assume the same of
Vulcanus's much larger gap. Measured instead, and it does not hold.

Same boundary-proximity test, run against the smoothed field the gate actually
sees, normalised by each planet's own interval so the 40-vs-120 difference does
not do the talking:

| | matched, median / interval | mismatched | separation |
| --- | --- | --- | --- |
| Nauvis 123456 | 0.60% | 0.18% | 3.4x |
| Vulcanus [0,0] | 3.7% | 1.5% | 2.4x |
| Vulcanus [1500,1500] | 5.4% | 3.9% | 1.4x |
| Vulcanus [-1200,800] | 5.3% | 2.2% | 2.4x |

The effect is present on Vulcanus - wrong cells are consistently nearer a
boundary than right ones - but far weaker, and they are NOT knife-edge: 1.5-3.9%
of an interval against Nauvis's 0.18%, an order of magnitude out. **A
field-precision fix would not close Vulcanus's residual.** Whatever is left there
is structural and still unidentified.

Pinned deliberately rather than left as a note: generalising a Nauvis result to
both planets is the exact mistake that made `cliff_smoothing` cost two months
("a no-op in this path" - true of Nauvis only).

Also pins Nauvis's own knife-edge figure (< 0.5% of an interval) so the two
assertions read as a matched pair.

Refs #18, #22.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_016vZjgASLZyxUfXx1dsq2HX
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