جَاءَ زَيْدٌ لَا يَحْمِلُ شَيْئًا.
Zayd arrived while carrying nothing.
The negative imperfect should not be handled mechanically as an affirmative imperfect. In some constructions the presence or absence of circumstantial wāw is discussed with reference to the negation and the available link, but the details depend on the actual structure.
وَزَيْدٌ لَا يَحْمِلُ شَيْئًا
While Zayd was carrying nothing.
The second expression is built as a nominal clause with its own predication. The editor must identify the subject of the circumstance, the clause functioning as ḥāl, and the syntactic position of wāw.