Let's say that a pope has a stroke and becomes mentally incapacitated. Most theologians consider this the equivalent of death. Let's say it takes a couple months for the Church to come to the conclusion that he's lost his faculties and vacated the office. So the Church "judges" (aka "recognizes the fact") that he's gone insane. So, on June 1, the man has a stroke and becomes mentally incapacitated. On June 30, Church officials release a statement that he's lost his mind and that the office is vacant. Did the office become vacant on June 30 or on June 1. (...)
The office would not be vacant until the fact of his insanity was "judged" and officially declared by the competent authorities.
Fr. E. Sylvester Berry: "...no pope has ever been afflicted with insanity, and it is probable that God in His providence will never permit such an unfortunate circuмstance to arise. But
should the condition arise, it would devolve upon the bishops of the Church to establish and declare the fact officially; the cardinals would then proceed to the election of a successor." (Berry, The Church of Christ, An Apologetic and Dogmatif Treatise, 1955, ch. 11).
Now let's say that on June 27th, even as the Church is planning on making the announcement that the office is vacant, the Pope makes a miraculous recovery. Then the Church withdraws the intention to make the June 30 declaration, and things continue as if it never happened. So, until the Church REMOVED the designation (the material recognition), the Pope was in a position to resume his office ... without having to be re-designated (i.e. re-elected).
He didn't
resume the office. He retained it the entire time, and recovered before the fact was declared and another was elected.
Now let's say that the Church declares the See vacant on June 30, and elects a new Pope on July 15. Then on July 31st the prior Pope miraculously regains his faculties. Is he now the Pope? No, because the Church had already removed the material aspect of the papacy ... which became REMOVABLE once the formal aspect was gone.
Nope. The
material aspect did not become
removable because the formal aspect was already gone. The
Pope became
removable because he lost his mind and could not govern the Church in that condition. Because of
that, the Church has the right to establish that he was insane and then elect another who can function in the capacity of pope. Since the Church has the right to do what is necessary to provide that she has head who can actually govern, some time during that process Christ would have separated the insane pope from the papacy and deprived him of the papal authority.
The Roman Catholic Church is the Mystical Body of Christ. Christ is the head of the Mystical body. He has given men, with all their limitations, the authority to govern the Church to the best of their ability, but Christ will always do what is necessary. If the Church were faced with a Pope who went insane, the authorities would have the duty and corresponding right to determine the extent of incapacity and, if it was severe, to legally declare him removed from the office and elect another. If the men did their part, Christ would do His. But it is entirely unreasonable to believe that Christ would deprive a man of the papacy while the Church continued to recognize him as Pope, and while He continued to function in that capacity.
Sedeprivationism treats heresy the same way. It's the heresy itself that removes from office, just like it was the incapacity itself that removed from office. When the Church makes a judgment, it's merely a "recognition of fact" and not some kind of juridical sentence. Once the Church recognizes that the formal aspect of authority is gone, removed by God due to heresy, then the material aspect becomes REMOVABLE. In the case of the V2 papal claimants, however, this material aspect has not actually been removed. So, if Bergoglio were to convert, then he would resume the exercise of his formal authority.
But what if the "fact" is not certain? What if a pope is suspected of heresy, but it is not certain? What if some people think he's a heretic, while others do not? Would Christ deprive him of the Papacy while the hierarchy and a majority of Catholics thought he was
not a heretic, while 5% of Catholic thought they "recognize the fact" that he was? What if the 5% were mistaken about the fact? What if 25%, or even 50% of Catholics thought they "recognized the fact" of his heresy, while the remaining Catholics did not? Would that degree of notoriety suffice for Christ to deprive him of the Papacy?
Or does it seem more reasonable that Christ would wait until "the fact" of his heresy was "recognized" by the authorities - by those who have the training necessary to distinguish heresy from lesser errors, who know how to determine, with a sufficient degree of certitude, that a person who is suspected of heresy is, in fact, a heretic, and who possess the authority to declare the fact to the faithful?
Since it is Christ who not only deprives a heretical Pope of his authority, but also chooses when to do so; and since the Magisterium is the office established by Christ to teach the faithful, and who He commands the faithful to obey, doesn't it seem more reasonable that He would wait until the heresy was established and declared by members of the Magisterium before depriving the Pope of his authority? Of course it does.
But, at the end of the day, the "judgment" of the Church is nothing more than an "awareness" ... which can take on formality in the form of a declaration, but I submit that it does not have to. It could be just tacitly understood by everyone that he's no longer Pope ... as in the case of Bergogio saying "I've become a Buddhist."
Now this is where we agree. If a pope openly left the Church and become a professing Buddhist, and if the fact of his apostasy was widely known by the Church, no "judgment" would be necessary, since it would leave no room for doubt that he was an apostate. In that case, all that would be required is for the Church to elect another.