Direct Simulation of Classical and Quantum Force Fields via Topological Phase Dynamics on a T 3-Manifold
Direct Simulation of Classical and Quantum Force Fields via Topological Phase Dynamics on a T 3-Manifold
This paper presents the unified mathematical formulation and simulation-based validationof the three fundamental macro- and micro-scale field manifestations within the AevumOriens framework: the Interference Field, the Macroscopic Magnetic Torsion Field, and theLocal Torsion/Vorticity Field (Spin Density) on a three-dimensional flat torus (T 3 ). Ratherthan treating interactions as mediated by virtual gauge bosons or abstract probabilisticwavefunctions, Aevum Oriens reduces all force mechanics to the deterministic elastic responseof a continuous scalar phase field Φ(x). We demonstrate that field superposition, magneticdipole loops, and quantum spin density naturally emerge from spatial gradient thresholds(∥∇Φ∥L∞ ≤ 1.7678) and field vorticity (∇ × v).