Topological and Geometric Morphogenesis of Black Hole Structures Based on Chiasmal Models and Cusp Catastrophe

The cosmos of Heraclitus is dynamis, becoming through polemos (conflict); in Anaxagoras, discord plays a central role; Epicurus attributes motion to parenklisis (inclination) which, in De Rerum Natura, Lucretius calls clinamen: the “deviation” in the trajectory of atoms, such that their motion is governed by randomness and unpredictability. For Aristotle, motion is «he tou dynamei ontos entelecheia, hēi toiouton, kinēsis estin» (the actuality of what exists potentially); permanence and change unfold within the temporality of Augustine of Hippo and within the mathematized spatial time of Immanuel Kant. More recently, for Jacques Monod, life on Earth might never have arisen: it is chance - an event - that determined its emergence, a contingency that nonetheless accompanies necessity. Across these thinkers, a morphogenetic vision of reality emerges. The primordial conditions and the numerous entities of the universe are not directly observable but can be inferred through formalizations and models. Within the field of modeling, many questions remain open, particularly concerning the understanding and representation of black holes. For this reason, a qualitative analysis may offer new perspectives and hypotheses regarding cosmological structures through the models illustrated in Figures 1-10. To paraphrase Aristotle, research can be articulated in multiple ways, and in the present context (where the individual inhabits the infosphere of the human-tech-space) this work aims to overcome the divide between calculative thinking and the Humanities. The hysteresis of macrotechne, microtechne, and isomorphing constitutes the current existential condition of humanity: to inhabit téchne is our destiny.