Alaska’s lieutenant governor maintains an office at the state Capitol in Juneau on the same floor as the governor. (James Brooks for Northern Journal)

Matt Heilala, a Republican and a podiatrist, says he’s running to be the next governor of Alaska, and he’s put up real cash to back it up: He’s invested more than $1 million of his own money in his campaign.

But officially, Heilala isn’t a candidate. And he won’t be until…