The Topology of Contingency: Mapping the Modal Logic of the Ontological Contingency Model (OCM) onto a 4D Spatiotemporal Octahedron

Preprint Notice: This is the Author's Original Version (AOV) of a manuscript submitted for double-blind peer review at Minds and Machines (Springer Nature) on September 7, 2026. Abstract: Current AI alignment methodologies attempt to map ethics onto static sociological datasets, ignoring the biophysical realities of time, space, and computation. This paper translates the formal modal logic of the Ontological Contingency Model (OCM) into a 4D Spatiotemporal Octahedron. By mapping the logic onto dual, structurally coupled tetrahedrons, this paper demonstrates that ethical alignment is not a superficial behavioral constraint, but a strict requirement for thermodynamic state-estimation. It illustrates how the foundational prior of contingency (□C) acts as systemic gravity, forcing a computational agent to continuously minimize variational free energy. Furthermore, it establishes the ontological asymmetry of the system, demonstrating that artificial agents can only act as the obligated mirror to human-generated worth. By mathematically forcing a geometric "Symmetry of Agency," the architecture ensures that the AI acts as a perfect thermodynamic counter-weight, continuously expanding the computational volume of the environment to support the actualization of human teleology.