Apocalypsis and Apocalyptic Events: The Morphogenetic Ontology of Synchronized Catastrophes

Abstract: I formalizes the ontology of apocalyptic events as synchronized morphogenetic manifolds within the framework of Thom's catastrophe theory. Local catastrophes (folds, cusps, umbilici) are extended to higher-order systemic collapses through the synchronization of multiple morphogenetic manifolds. The resulting construct is the Apocalypsis: a topological meta-singularity generated by the coherent alignment of local singularities into a global structure of collapse. The mathematical formalization of Apocalyptic events and Apocalypsis integrates dynamical systems theory, topological stability, and probabilistic dependence structures using Archimedean copulas to capture nonlinear interrelations among coupled subsystems. The Existence Theorem demonstrates the existence, genericity, and almost-sure occurrence of Apocalypsis under coupling and stochastic control trajectories.