The Collapse Spacetime Model: Generative Ontology and the Emergence of Lorentzian Spacetime

We develop the formal framework of the Collapse Spacetime Model (CSM), in which spacetime emerges from discrete Ontological Transition Events (OTEs) connected by a relational generative structure. OTEs are treated as primitive, non-geometric elements whose actualization is governed by a stochastic generative kernel. Each event contributes a micro–spacetime increment, and the statistical distribution of these increments admits a system-independent invariant ratio between expected spatial and temporal contributions. This generative invariant defines an emergent null propagation constant that determines the causal structure of the coarse-grained geometry. In the large-cluster limit, accumulated increments converge to a smooth Lorentzian spacetime without assuming a background manifold or metric. The framework provides a unified generative basis for emergent geometry, causal order, and quantum-like probabilistic structure, with implications for relational spacetime programs and approaches to quantum gravity.