Though it's not much help, I always kind of figured they'd have a reverse Roman Empire deal. The real Roman Empire went from republic to dictatorship, so the Cyrodiilic Empire would go from dictatorship to republic. Basically, rule falls to the Elder Council, but they're not sure what to do about the succession, so the throne remains empty, leaving the Elder Council the effective head of the Empire and eventually turning it into a de facto republic (well, oligarchy, but still?). It would seem somewhat likely, as the main worry now is stabilizing the Empire. Either they hastily appoint someone, an option which could lead to either an incompetent leader or a civil war (or both, even), or they could maintain power within the council with the excuse that the Empire must be preserved, and such requires action. Which would be fairly true for them, I suspect.
As for the people's view of the succession, it seems they could make up something about Martin being the final chapter of the Septim dynasty (which, as far as we know, he is. Uriel seemed the frisky sort, though? but finding a lost heir just seems somewhat anti-climactic), and that with his passing, rituals change and becoming unnecessary, so it falls now to the people (nobles) of Tamriel to rule. Akatosh wills it, and all that. Either that or, who knows, establish a lesser council that would be formed of the people and occupy them like a shiny gold coin while the Elder Council goes on as before.
sorry guys and gals don't think hard this three children of uriel septim, forgive me forgot there name, they were in what there late 40's / 50's, it is pretty much likely this three sons of uriel have children, havn't heard anything of the dead of there offspring ...
So is it to hard to think that one of there children will be the next in line ?
The only thing here is, were that so, why go through everything with Martin? The thing is, no one really knew about Martin to begin with, so had there been an immediate band-aid heir, however distant, it stands to reason that they would have been applied. Rather, the Elder Council held control and issued orders until Martin arrived. For there to be an heir, it'd have to be distant enough that neither Uriel or the Elder Council was aware of it, which seems unlikely.
Many European countries are quit new, and not only easteren european countries, modern germany was only founded back in the middle of the 19th century, before that germany was a collection of bavarian kingdoms ...
Ah, the Franco-Prussian War. Cyrodiil could probably use a Bismarck about now. Italy falls in there as well (Sardinia-Piedmont, Two Sicilies, Lucca, Parma, Modena, Pope-Hatia, Tuscany, as well as the others that pre-date the nineteenth century). Europe sure was fun back then? And I kind of liked Burgundy. Crazy succession laws, always getting in the way?