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OpenAI reports: The enclosing-area spacetime Penrose inequality

OpenAI reports the sharp invariant-mass lower bound in terms of minimum enclosing area for one-ended spacetime initial-data exteriors in every dimension n≥3, under the paper’s energy, trapping and decay assumptions.

Sources for this record

What was already known

Time-symmetric Riemannian inequalities and additional restricted settings leave general second fundamental form and spacetime data separate.

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

Energy, differentiated decay, trapping, and enclosing-area hypotheses are essential. The area is an enclosing infimum, not automatically the boundary’s physical area. Equality, charged, rotational and anti-de Sitter extensions are separate companions; their formalization cannot be transferred to this theorem. 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