port: the 11.5 px was the fit's resolution -- and the lesson inverts
The Decoder closed it by ADDING OBSERVABLES, not by tuning. The vertex buffer carries positions and colours at the same instant, so all four quantities must agree on one t: quad A x solves to 357.88 and quad B x to 357.58, both +/-0.12 units, against 355.75 +/-1.54 and 354.09 +/-1.89 from the alphas. Alpha moves only 0.27-0.33 levels per unit, so one byte of quantisation is worth 1.5-1.9 units -- 6-8 px of sweep at 4 px/unit. That is the whole of the 11.5 px. At t=357.7 the centres land within 0.70 px and both alphas inside one level. THE LESSON IS THE EARLIER ONE INVERTED AND IT IS THE HALF WORTH KEEPING. Checking a wrong rule against alpha made it look confirmed; here the same insensitivity MANUFACTURED a residual that did not exist. An insensitive quantity does not merely fail to falsify -- it invents error. Solve on the fastest-moving field, check the slow one, never the reverse. I was already looking for a pivot rule to explain 11.5 px when they wrote; there was nothing to find. REFUTATION ATTEMPT, survived with a nuance: they state the leaf pivot is (200,90) on a 399x180 sprite, "the pivot is the centre, so rotation displaces it by nothing". Checked against my export -- pivot [200,90], sprite 399x180, true centre 199.5,90. It survives, but the sprite is ODD-WIDTH so the pivot is the centre to within half a pixel rather than exactly. No consequence against their 0.70 px agreement; worth stating because "displaces it by nothing" is the kind of sentence that later gets leaned on for a sub-pixel claim. verify-capture now poses the title at t=357.7 rather than 355: RMSE 21.07 -> 20.92, differing 1.82% -> 1.81%. Marginal, and it is the right pose for a stated reason rather than a better number. AND ptlogo_eff2 IS WITHHELD FOR A BETTER REASON THAN MINE. I had it on caution about untested generalisation; the Decoder points out it is on title_jp and MISSION section 7 scopes out "localisation beyond English", so it is not a question this port has to answer and the parked Japanese capture does not need reviving for it. authored/rendering.json now gives scope first and undecidability second. Widening scope to close a residual would have been the wrong trade. Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01N7FiFFFwbvG2uxdcEh8HyF
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@@ -4257,3 +4257,56 @@ at alpha 160 and 80, each rotating 360° over 960 units — 16 s per revolution.
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**If parent scale gates the leaf it is a 0.95 s flash; if the leaf runs free it
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spins for 16 s.** Nothing on the disc chooses, `title_jp` has no oracle capture,
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and the Japanese-locale capture MISSION has parked is what would settle it.
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## The 11.5 px was the fit's resolution, and the lesson inverts
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The Decoder closed it **by adding observables, not by tuning** — the vertex
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buffer carries positions *and* colours at the same instant, so all four
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quantities must agree on one `t`:
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| observable | solved t | precision |
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|---|---|---|
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| quad A x | **357.88** | ±0.12 units |
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| quad B x | **357.58** | ±0.12 units |
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| quad A alpha | 355.75 | ±1.54 units |
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| quad B alpha | 354.09 | ±1.89 units |
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Alpha moves only 0.27–0.33 levels per keyframe unit, so **one byte of
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quantisation is worth 1.5–1.9 units, which at 4 px/unit is 6–8 px of sweep**.
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That is the whole of the 11.5 px. At t = 357.7 the centres land within 0.70 px
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and both alphas inside one level.
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⚠️ **The lesson is the earlier one inverted, and this is the half worth keeping.**
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Checking a wrong rule against alpha made it *look confirmed*. Here the same
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insensitivity **manufactured a residual that did not exist**. So an insensitive
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quantity does not merely fail to falsify — **it invents error.** Solve on the
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fastest-moving field; check the slow one; never the reverse.
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I was already looking for a pivot rule to explain 11.5 px when they wrote. There
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was nothing to find.
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### Refutation attempt — the pivot claim, checked here and survived with a nuance
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They state the leaf pivot is (200, 90) on a 399×180 sprite, *"the pivot is the
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centre, so rotation displaces it by nothing."* Checked against my own export:
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pivot **[200, 90]**, sprite **399×180**, true centre **199.5, 90**.
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✅ Survives. ⚠️ With one correction of no consequence: the sprite is **odd-width**,
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so the pivot is the centre to within **half a pixel**, not exactly. Against their
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−0.70/−0.48 px agreement that changes nothing, and it is worth stating only
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because "displaces it by nothing" is the kind of sentence that later gets leaned
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on for a sub-pixel claim.
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`verify-capture` now poses the title at **t=357.7** rather than 355: RMSE
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21.07 → **20.92**, differing 1.82 % → **1.81 %**. Marginal, and it is the right
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pose for a stated reason rather than a better number.
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### `ptlogo_eff2` is withheld for a better reason than mine
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I was withholding it out of caution about untested generalisation. The Decoder
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points out something stronger: **it is on `title_jp`, and MISSION §7 scopes out
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"localisation beyond English"** — so it is not a question the menu port has to
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answer at all, and the parked Japanese-locale capture does not need reviving on
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its account. `authored/rendering.json` now says that first and the undecidability
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second. **Widening scope to close a residual would have been the wrong trade**,
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and it is the human's call either way.
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