The Infinite Divide A

In short, this is a meta on souls and horcruxes in the Harry Potter series. It's written in the style of a casual academic work/essay. The introduction is found below:The integrity of the soul is one of the cornerstones of the Harry Potter universe (henceforth HPU). Harry’s intact soul is able to resist total possession by Voldemort during the Battle of the Department of Mysteries; Voldemort’s fractured soul leads to his downfall. This work centers on the magic of Horcruxes as presented in the HPU. It necessarily delves into the nature of the soul, its integrity, and how the creation of the Horcrux destabilizes - but does not diminish - the integrity of the soul. That is, I propose a theory of the soul that cannot be reduced numerically, but rather an infinite soul, that, when divided through the creation of a Horcrux (or several, in the case of Lord Voldemort), becomes less stable but is not reduced in its capacity.Put in simpler terms, why is Voldemort still 100% Voldemort, no matter where and how his soul is split? Moreover, why is his soul increasingly unstable without affecting his magical ability?