The Topology of Absolution: Continuity, Agency, and the Non-Replacement of the Self

This essay develops an account of absolution, sanctification, and purgatory within the framework of the Gaitán Topology. If personal identity consists in the unbroken traversal of an infinite interior, then forgiveness cannot be understood as the replacement of one moral self by another. The essay distinguishes guilt as a boundary condition, removable instantaneously through absolution, from pride as an interior curvature that can only be healed through continuous traversal. Against both replacement theories of conversion and infinite-speed models of sanctification, it argues that continuity is not an independent condition of identity but the consequence of agency itself. The resulting framework offers a unified account of conversion, sanctification, deathbed absolution, purgatory, and the persistence of personal identity across moral transformation.