The Onto-Mathematical Subject: A Topological Formalization of the Zeno Drive

This book formalizes the ontological singularity of the subject in the mathematical universe by synthesizing Marko Rodin’s Vortex-Based Mathematics (VBM) with Lacanian topology. By identifying the recursive doubling circuit (1 → 2 → 4 → 8 → 7 → 5) as the topological equivalent of the drive (trieb), Nodes 3 and 6 function as the oscillating poles of the Imaginary and Symbolic registers. This 3–6 polarity provides the differential tension required to animate the 1-2-4-8-7-5 circuit, while 9 serves as the Real or its semblance in the form of a master-signifier that quilts the entire manifold into an extractive, entropic libidinal/political economy. This model suggests a structural homology, wherein clinical structures (neurosis, psychosis, and perversion) can be modeled as specific geometric deformations within a Modulo-9 manifold, which in the context of capitalism, is governed by the Zeno Drive of asymptotic lack. Consequently, the end of analysis, a fractal microcosm of the end of capitalism, consists of a topological two-step process enacted by the onto-mathematical subject: traversing the fundamental fantasy, by reconfiguring one’s relationship to the Real (9) through hystericizing the S1, followed by sinthomatic identification with the objet a (0). The shift from the alienated counting of the doubling circuit to the autonomous rotation of the central axis (0/9) constitutes the basis of a socialist collective acting as a social superconductor that facilitates a phase transition from the friction of exploitation toward a non-alienated existence.