AbstractThis paper and accompanying simulation (v13. 3. 3) address a fundamental question in the "Universe Engine" framework: How does geometric motion convert into physical energy? Using the discrete 4D simplicial lattice model, we derive Faraday’s Law of Induction (EMF = -dΦ/dt) not as a postulated axiom, but as an emergent geometric property. We demonstrate that "motion" in a discrete universe is actually a wave of lattice deformations, and "energy" is the elastic stress resulting from these deformations. Key Theoretical Insights: Motion as Lattice Deformation: In the Universe Engine, objects do not "move" through empty space. Instead, motion is the propagation of geometric updates (changes in edge lengths Lₛpace and Lₜime). Derivation of Faraday's Law: We show that the electromotive force (EMF) arises naturally when the "counting" of magnetic flux lines changes due to the geometric distortion of the loop's area. This confirms that classical electromagnetism is the macroscopic limit of discrete lattice geometry. Energy-Geometry Equivalence: The simulation proves that the work done to move a magnet (mechanical energy) is directly converted into the re-orientation of lattice spins (electrical energy), conserving the Fundamental Invariant: Lₛpace² + Lₜime² = C The Simulation (generatorₛimulation. py) Included is a Python simulation of an electric generator operating on Universe Engine principles. Input: A rotating magnetic field defined by discrete flux quanta. Process: Calculates the change in magnetic flux (ΔΦ) across a discrete surface area. Output: Generates a sinusoidal EMF, matching classical predictions perfectly but derived from discrete steps. Context & SignificanceThis module is crucial for understanding the emergence of Lorentz Invariance. By demonstrating how spatial motion (lattice deformation) generates energy (temporal stress), we lay the groundwork for deriving the Lorentz transformations from first principles without assuming a continuous manifold. Files Included: electromagneticᵢnductionₛimplexᵤniverse. pdf (Theoretical derivation) generatorₛimulation. py (Source code of the simulation) Author InformationJulian Zoria (Independent Researcher) ORCID: 0009-0002-2424-5291Email: julian. zoria@proton. me
Julian Zoria (Thu,) studied this question.