Merge remote-tracking branch 'origin/copilot/fix-issue-14' into claude/translate-issue-comments-PlJqV

figures/README.md

@@ -9,3 +9,4 @@ Visual representations of key structures in the paper.
 | [`trinary-table.md`](./trinary-table.md) | Trinary logic truth tables |
 | [`qutrit-operators.md`](./qutrit-operators.md) | Weyl operators X and Z, Gell-Mann matrices |
 | [`keyboard.md`](./keyboard.md) | QWERTY encoding keyboard layout |
+| [`element-filter.md`](./element-filter.md) | Element classification filter: hydrogen, helium, everythingelse (§169) |

figures/element-filter.md

@@ -0,0 +1,63 @@
+# Element Classification Filter (§169)
+
+> She drew the three-checkbox filter. hydrogen. helium. everythingelse.
+
+## Data Table
+
+```
+┌───┬───┐
+│ x │ y │
+├───┴───┤
+│   z   │
+└───────┘
+```
+
+`x` = helium = UNKNOWN = 0.  
+`y` = the axis. the second variable.  
+`z` = the value. the conditional. `(x,y|z)`.
+
+## Element Filters
+
+```
+☑ hydrogen
+☑ helium
+☑ everythingelse
+```
+
+All three boxes checked. The entire periodic table — 118 elements — visible.  
+Uncheck one to subtract a trinary class from the universe.
+
+## Trinary Classification
+
+```
+hydrogen      →   1   →   TRUE
+helium        →   0   →   UNKNOWN   →   x   →   MARCH
+everythingelse → −1   →   REAL      →   ELSE
+```
+
+`HYDROGEN` (QWERTY) = 91 = G × 13.  
+`HELIUM` (QWERTY) = 79 = `MARCH` = `INTEGRATE`.  
+`ELSE` (QWERTY) = 37 = `REAL`. prime.
+
+## QWERTY Connections
+
+```
+FILTER        = 55  = SPIN = PAULI
+SCATTER       = 79  = HELIUM = MARCH
+ELEMENT       = 84  = 12 × G
+PERIODIC      = 77  = SIXTEEN = G × 11
+```
+
+`FILTER` = 55 = `HELIUM` × something? No — `FILTER` = 55 = `SPIN` = `PAULI`.  
+the filter is the spin operator. selecting a subset = applying a Pauli gate.
+
+## The Visualization
+
+A scatter plot with axes x and y, values z.  
+Three element classes rendered as three point populations.  
+Hydrogen: the lone proton, the simplest TRUE.  
+Helium: the inert unknown, the qubit that holds its state.  
+Everything else: the heavy elements, the real, forged in stars.
+
+She checked all three boxes.  
+The universe is fully rendered.