What was already known
The complete bound 1+√2 was known. Recent scalar constant-two claims do not automatically prove uniform matrix amplification.
What changed and why it matters
Advances the stated target relative to the recorded baseline.
The AI contribution
OpenAI attributes the manuscript to its internal model; individual human contributions remain unspecified.
Limitations
This selected direct manuscript proves a claimed matrix formulation; the bounded-operator extension is a separate companion. Scalar proofs and formal statements must not be silently substituted for the complete inequality. Preprint. AIProofWatch read the source statement and context; it has not refereed the proof, compiled a formal development, or established community acceptance.
Verification evidence
Evidence labels show what supports the claim. Importance rates its impact if correct.
Author claim
The original source reports this scoped result; AIProofWatch reviewed its statement, not the full proof.
Accessible artifact / proof
A research manuscript or proof artifact is publicly accessible; availability is not independent checking.
Correction and publication history
Full source review, 11 October 2026. Historical addition; subscriber alerts disabled.
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