SWhat is claimed?
The manuscript claims a unique global classical solution for the three-dimensional one-species relativistic Vlasov–Maxwell system, with nonnegative smooth compactly supported initial particle density and smooth finite-energy initial fields whose derivatives are bounded and whose Gauss constraints hold. No smallness or symmetry restriction is imposed.
Scientific scope
This exact collisionless model is not every plasma system or a laboratory fusion demonstration. Compact support applies to the particle data; the fields may have Coulomb tails. Momentum support is bounded on each finite time interval, not by one time-independent constant. WRS has inspected the cited statement and source-reported formalization scope where available; it has not audited the full proof or replayed Lean.
Evidence state
The manuscript reports a proof. WRS has not independently audited the complete argument or replayed the reported formalization. The grade and score here express conditional significance; they do not certify correctness. The provisional value enters the main reference rankings with an unverified label, but not achieved-science progress totals.
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