Apocalypsis and Apocalyptic Events: The Morphogenetic Ontology of Synchronized Catastrophes
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917049979109376 |
|---|---|
| author | Martinez, Rolando Manuel Gonzales |
| author_facet | Martinez, Rolando Manuel Gonzales |
| contents | I formalize 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 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 that capture nonlinear interrelations among coupled subsystems. The Inevitability Theorem demonstrates the existence, genericity, and almost-sure occurrence of Apocalypsis under stochastic coupling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25431 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Apocalypsis and Apocalyptic Events: The Morphogenetic Ontology of Synchronized Catastrophes Martinez, Rolando Manuel Gonzales Dynamical Systems Algebraic Topology I formalize 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 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 that capture nonlinear interrelations among coupled subsystems. The Inevitability Theorem demonstrates the existence, genericity, and almost-sure occurrence of Apocalypsis under stochastic coupling. |
| title | Apocalypsis and Apocalyptic Events: The Morphogenetic Ontology of Synchronized Catastrophes |
| topic | Dynamical Systems Algebraic Topology |
| url | https://arxiv.org/abs/2510.25431 |