I had not considered the naming issue, because, well, I just hadn't thought about it, but you bring up a good point of discussion, at the least. It would not be the first time I LLC had reformed and forced the NHC to track a named storm from a different location... so in that respect, assuming the NHC isn't so naiive as to track the remnant low to dissipation when the new low is already in the formative stages, the name Arthur would be maintained. IF, however, the NHC does continue to track the "original" LLC to dissipation (which it seems like they are apt to do, from the 5am discussion), and THEN they decide to pick up on the developing low in the GOH... the naming would be a matter of significant debate, and largely one of timing. If a 6 hour span elapses between the discontinuance of advisories on "Arthur", and the issuance of advisories on "GOH System", I could see the NHC deciding (incorrectly, in my opinion) that the system was a new entity and warranted designation as "TD Two"/"TS Bertha". This could lead to a bit of a comical post-season analysis, where someone finally determines that Alma underwent not one, but two, sex/name changes.

ETA: 11am advisory downgrades Arthur, and says the circulation center is difficult to locate. *sigh*... try looking in the Gulf of Honduras.

ETA2: Is it just me, or is the GOES satellite down? SSD is not up-to-date.