Counterexample CE-SCORE-ERROR-ALIGNMENT-ORDER-001

What it falsifies

The trace-loss alignment bound is always <= the crude bound; both separately bound |T1|.

CE-SCORE-ERROR-ALIGNMENT-ORDER-001: labels before, 4 atoms in 3 cells-8-6-4-20-1-0.50000.5001score 1score 2
Labels before
  • Cell 0
  • Cell 1
  • Cell 2
Atoms of CE-SCORE-ERROR-ALIGNMENT-ORDER-001
AtomWeightScore 1Score 2Cell before
11/20-1-90
21/201-91
39/20-112
49/20112

How it was verified

Method: exact_formula.

Rational witness; independently recomputed in tests/test_research_claims.py. See audit for the corrected theorem.

Claims that cite it

Recorded 8 September 2026. The fixture as JSON.