This topic follows mathematical statements in physical models, including gravitational inequalities and field equations; it does not turn a theorem into an experimental prediction.
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Parisi and Zamponi give an analytic proof of a+b=1 from the scaling full replica-symmetry-breaking equations for infinite-dimensional hard-sphere jamming. Together with the earlier relation b=(1+c)/2, it yields the scaling identities linking force, gap and overlap exponents.
Read original source Parisi–Zamponi: precise identity, assumptions and AI disclosurearxiv.org
Original report: 2026-06-02OpenAI claims globally smooth unique evolution for arbitrary admissible large initial data in the three-dimensional one-species relativistic Vlasov–Maxwell model, under its support and field assumptions.
Read original source Pinned primary manuscript · family 362github.com
Original report: 2026-10-06OpenAI 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.
Read original source Pinned primary manuscript · family 260github.com
Original report: 2026-10-06This topic follows mathematical statements in physical models, including gravitational inequalities and field equations; it does not turn a theorem into an experimental prediction.
Background review: 2026-10-11. Selected sources:
Publication dates and editorial changes.
Parisi–Zamponi–Claude: an analytic proof of the jamming exponent identity
OpenAI reports: Global classical relativistic Vlasov–Maxwell solutions
OpenAI reports: The enclosing-area spacetime Penrose inequality
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