For nearly a century, quantum mechanics has relied on scalar probability amplitudes and algebraic formulations, often leading to deep ontological crises regarding wave-particle duality and non-local topological phases. We propose a purely geometric reformulation—the 3D Helical Holographic Quantum Mechanics (H3QM) formalism—which demonstrates that standard 2D scalar wavefunctions are merely lower-dimensional shadows of a continuous 3D helical geometric fluid. Without altering the predictive success of the Schrödinger or Pauli equations, we mathematically establish the Conservative Sector (H3QM-C) by mapping phase flow, spin currents, and topological tension to a helical operation field. We prove a Curl-Lift Continuity Theorem ensuring empirical equivalence with standard probability conservation, and reconstruct the Pauli spin current as an internal helical circulation. Supported by strict numerical simulations and rigorously aligned with the H3QM ontological framework, this paper mathematically proves that: (1) scalar probabilities exactly emerge from the geometric projection of helical fields; (2) double-slit interference is a deterministic generation of topological vortices in spatial fluid rather than the cancellation of existence; (3) the Aharonov-Bohm geometric (Berry) phase is the physical consequence of spatial torsion; and (4) mass-energy equivalence and electron-positron pair annihilation into two photons are topological state transitions from closed geometric knots to open propagating helical waves. This formalism mathematically and visually dissolves quantum mechanics' long-standing philosophical paradoxes, paving the way for intuitive unified theories. Multilingual Availability Note: To facilitate global academic discussion, this dataset includes the complete and mathematically identical manuscript in three languages: English (en-US), Traditional Chinese (zh-TW), and Simplified Chinese (zh-CN).
Chou Cosmo (Sat,) studied this question.