We present numerical simulations of three key phenomena within the Universe Engine v13. 3 framework: (1) wave-particle duality as computational economy, (2) electromagnetic induction via U (1) gauge phase accumulation, and (3) Lorentz invariance emerging from the fundamental geometric invariant L²space + L²time = L²total. All formalism and algorithms are extracted exclusively from Universe Engine specification documents with explicit citations. Results demonstrate quantitative verification of UE principles with full reproducibility (fixed seeds, documented parameters). The Lorentz invariance simulation achieves exact preservation of the invariant (0. 00% variation across 20 velocity samples), validating that special relativity emerges naturally from discrete Euclidean lattice geometry. Energy conservation in the electromagnetic generator is verified to 4. 4% accuracy. Wave-particle duality is demonstrated through computational cost analysis showing that wave propagation (photons) requires fewer operations than particle maintenance (topological defects), explaining the "computational economy" principle (UE Axiom 5). All simulations use the 600-cell tessellation substrate with edge-based state variables (uₑ for geometry, Aₑ for electromagnetism, Sₑ for spin). The electromagnetic induction simulation reproduces Faraday's law on the discrete lattice through U (1) gauge phase accumulation in rotating conductor loops, with energy balance verified between mechanical energy loss and electrical energy dissipation. The Lorentz invariance verification numerically proves that the fundamental invariant is preserved across all velocities 0 ≤ v < c, demonstrating time dilation (Δτ = Δt/γ) and length contraction as exact geometric consequences. All code, data, and figures are provided for independent verification. The complete Python simulation package (ueᵣeproₚackage. py) includes three tasks with documented parameters, output data in JSON/CSV formats, and publication-quality figures. This work provides the first comprehensive numerical validation of Universe Engine v13. 3 predictions with falsifiable, reproducible results. Author InformationJulian Zoria (Independent Researcher) ORCID: 0009-0002-2424-5291Email: julian. zoria@proton. me Co-authors: GPT-5. 2 Pro (creative colleague) DeepAgent Abacus. AI (mathematician)
Julian Zoria (Thu,) studied this question.