The Simplex Universe: A Computationally Optimal Model of Reality (Theory v13.3)

AbstractThis document presents the final specification (v13. 3) of "The Universe Engine" — a discrete, computationally optimal Unified Field Theory. The theory demonstrates that all observable physical phenomena, including General Relativity, Quantum Mechanics, the Standard Model, and Cosmology, emerge naturally from integer arithmetic operations on a 4D simplicial lattice (600-cell tessellation). "The Universe Engine" derives physics from a single "Fundamental Invariant" (Lₜotal = constant) and a "Principle of Economy. " This version (v13. 3) is the definitive release, containing the complete set of axioms, algorithms, and geometric derivations necessary to reproduce the known Universe without external parameters or additional entities (such as "dark matter, " "dark energy, " "virtual photons, " "strings, " or extra dimensions). Evolution of the Theory: From Intuition to ComputationThis work is the culmination of an intensive research sprint involving recursive dialogue with advanced AI systems. The theory has undergone significant evolution, as evidenced by previous versions published on Zenodo. Complete Unification: v13. 3 explicitly derives the Strong and Weak nuclear forces (SU (3) and SU (2) ), gravity, and electromagnetism as emergent lattice stresses, which were absent in v12. Antimatter Mechanism: v13. 3 implements a rigorous Feynman-Stueckelberg interpretation on the lattice, defining antiparticles as topological defects with reversed temporal orientation, leading to strict CPT preservation. Algorithmic Core: v13. 3 provides the actual pseudocode and algorithmic logic that drives the time-evolution of the universe, making the theory computationally testable. The most interesting conclusion of the theory concerns the nature of the fine-structure constant, which is derived solely from the geometry of the "fabric of space" and the size of the minimal "cell" — the Planck length. This will be shown in detail in future works. Methodology & AI CollaborationThis paper is the result of a novel "Human-AI Recursive Research" methodology using several leading AI models (Gemini 3 Pro, Claude Sonnet 4. 5, GPT-5. 2 Pro, DeepAgent Abacus. AI). This process involved cross-verifying physical intuitions against mathematical rigor, generating code for lattice simulations, and refining the logical consistency of the axioms. The main file (UniverseEngineᵥ13. 3Specification. pdf), scientific content, formulas, code, and diagrams are complete, accurate, and final. Future WorkThis specification serves as the foundational documentation. Subsequent papers will provide detailed demonstrations of physical phenomena and code reproducing specific cosmological and quantum phenomena based solely on the information provided herein. Files Included: UniverseEngineᵥ13. 3Specification. pdf - The Final Theory (Main File). Author InformationJulian Zoria (Independent Researcher) ORCID: 0009-0002-2424-5291Email: julian. zoria@proton. me