The Genesis Algorithm (Article plus Sourcecode): Numerical Verification of 3D Emergence from p-adic Branching (0.5cm)

Synopsis Standard cosmological models assume spacetime geometry as a background manifold. The SDRIS framework [1] postulates that geometry is an emergent property of a recursive informational process ($R: I \to I$). This paper presents the SDRIS-Genesis Algorithm}, a Monte Carlo simulation that evolves a universe from a single bit without pre-programmed metric constraints. By implementing the recursive rules of Forking (Expansion) and p-adic Linking (Entanglement), I demonstrate that the resulting information graph naturally converges to a Spectral Dimension of $d_S \approx 3.02$. This provides numerical proof that 3-dimensional space is the stable topological attractor of binary recursive branching ($p=2$). Furthermore, the simulation spontaneously generates a filamentary Cosmic Web structure, validating the hypothesis that large-scale structure is an artifact of recursive density variations in the underlying p-adic ontology. My “Genesis” source code is included with my research paper as a separate file and is dual-licensed under the GNU GPL v3.1 and the Apache License 3.0. It is intended for academic use.