feat(V&V): Zernike pipeline validation - synthetic WFE generator + round-trip validator

- generate_synthetic_wfe.py: Creates synthetic OPD surfaces from known Zernike coefficients
- validate_zernike_roundtrip.py: Round-trip validation (generate → fit → compare)
- validation_suite/: 18 test cases (single mode, multi-mode, noisy, edge cases)
- All 18 test cases pass with 0.000 nm error (clean) and <0.3 nm (10nm noise)
- M1 params: 1200mm dia, 135.75mm inner radius, 50 Noll modes

Project: P-Zernike-Validation (GigaBIT M1)
Requested by: Adyn Miles (StarSpec) for risk reduction before M2/M3 ordering

tools/validation_suite/many_modes_truth.json

@@ -0,0 +1,104 @@
+{
+  "input_coefficients": {
+    "5": 20.0,
+    "6": 16.666666666666668,
+    "7": 14.285714285714286,
+    "8": 12.5,
+    "9": 11.11111111111111,
+    "10": 10.0,
+    "11": 9.090909090909092,
+    "12": 8.333333333333334,
+    "13": 7.6923076923076925,
+    "14": 7.142857142857143,
+    "15": 6.666666666666667,
+    "16": 6.25,
+    "17": 5.882352941176471,
+    "18": 5.555555555555555,
+    "19": 5.2631578947368425,
+    "20": 5.0,
+    "21": 4.761904761904762,
+    "22": 4.545454545454546,
+    "23": 4.3478260869565215,
+    "24": 4.166666666666667,
+    "25": 4.0,
+    "26": 3.8461538461538463,
+    "27": 3.7037037037037037,
+    "28": 3.5714285714285716,
+    "29": 3.4482758620689653,
+    "30": 3.3333333333333335,
+    "31": 3.225806451612903,
+    "32": 3.125,
+    "33": 3.0303030303030303,
+    "34": 2.9411764705882355,
+    "35": 2.857142857142857,
+    "36": 2.7777777777777777,
+    "37": 2.7027027027027026,
+    "38": 2.6315789473684212,
+    "39": 2.5641025641025643,
+    "40": 2.5,
+    "41": 2.4390243902439024,
+    "42": 2.380952380952381,
+    "43": 2.3255813953488373,
+    "44": 2.272727272727273,
+    "45": 2.2222222222222223,
+    "46": 2.1739130434782608,
+    "47": 2.127659574468085,
+    "48": 2.0833333333333335,
+    "49": 2.0408163265306123,
+    "50": 2.0
+  },
+  "coefficient_names": {
+    "5": "Astigmatism 45\u00b0",
+    "6": "Astigmatism 0\u00b0",
+    "7": "Coma X",
+    "8": "Coma Y",
+    "9": "Trefoil X",
+    "10": "Trefoil Y",
+    "11": "Primary Spherical",
+    "12": "2nd Astig X",
+    "13": "2nd Astig Y",
+    "14": "Quadrafoil X",
+    "15": "Quadrafoil Y",
+    "16": "2nd Coma X",
+    "17": "2nd Coma Y",
+    "18": "2nd Trefoil X",
+    "19": "2nd Trefoil Y",
+    "20": "Pentafoil X",
+    "21": "Pentafoil Y",
+    "22": "2nd Spherical",
+    "23": "Z(6,-2)",
+    "24": "Z(6,+2)",
+    "25": "Z(6,-4)",
+    "26": "Z(6,+4)",
+    "27": "Z(6,-6)",
+    "28": "Z(6,+6)",
+    "29": "Z(7,-1)",
+    "30": "Z(7,+1)",
+    "31": "Z(7,-3)",
+    "32": "Z(7,+3)",
+    "33": "Z(7,-5)",
+    "34": "Z(7,+5)",
+    "35": "Z(7,-7)",
+    "36": "Z(7,+7)",
+    "37": "Z(8,+0)",
+    "38": "Z(8,-2)",
+    "39": "Z(8,+2)",
+    "40": "Z(8,-4)",
+    "41": "Z(8,+4)",
+    "42": "Z(8,-6)",
+    "43": "Z(8,+6)",
+    "44": "Z(8,-8)",
+    "45": "Z(8,+8)",
+    "46": "Z(9,-1)",
+    "47": "Z(9,+1)",
+    "48": "Z(9,-3)",
+    "49": "Z(9,+3)",
+    "50": "Z(9,-5)"
+  },
+  "n_points": 118572,
+  "diameter_mm": 1200.0,
+  "rms_nm_clean": 16.40426082558852,
+  "rms_nm_with_noise": 16.40426082558852,
+  "noise_rms_nm": 0.0,
+  "seed": 42
+}