The Jordan Separation Theorem Reinterpreted: Boundary Generation and Tripartite Decomposition

The Jordan separation theorem is reinterpreted as a generative mechanism producing interior, boundary, and exterior structures. This perspective extends naturally to layered spaces and spacetime, yielding cylindrical boundaries, null cones, and a categorical formulation of boundary generation. This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.