“If it happens that the Roman Pontiff resigns his office, it is required for validity that the resignation is made freely and properly manifested but not that it is accepted by anyone.” (Canon 332 §2)
Will Layman Louie come back to the fold?
I have been bashed by a notorious sedevacantist recently; no rational person would question the election of Francis, he is Pope, despite the manipulations of the St Gallen group. What is a much more a Catholic concern is the acceptance of Francis' teaching, ultimately how the Church will remember him, indeed if it will remember him at all or as little more than a brief historical throwback or curio. Remembering or not remembering is how the Western Church really deals teaching from above, from Councils, Popes and Bishops. Source