Reconstructing Quantum Mechanics: A Vortex-Based Replacement for Schrödinger’s Equation

This article proposes a deterministic and geometrically grounded reformulation of quantum mechanics based on vortex dynamics in a structured, superfluid-like vacuum. Modeling the electron as a self-sustaining irrotational vortex with both internal rotation and external translation, the framework derives fundamental quantum phenomena—including de Broglie wavelength, Compton wavelength, spin, and quantization—directly from physical principles of motion and vacuum geometry. A generalized wave function is introduced, embedding both translational and rotational phase components, leading to a modified Schrödinger-like equation that naturally incorporates internal angular momentum. Interference, tunneling, and entanglement are reinterpreted as emergent behaviors of coherent vortex trajectories, eliminating the need for wavefunction collapse or intrinsic randomness. The Born rule is shown to arise from deterministic mechanisms such as phase averaging, internal oscillations, and ergodic dynamics. This vortex model aligns with classical, quantum, and relativistic principles, resolves key interpretational paradoxes, and offers a unified, causal framework for understanding quantum phenomena as structured motion within a physically real vacuum.