A Three-Dimensional Reformulation of Bohmian Mechanics

We propose a reinterpretation of Bohmian mechanics in which the single--particle wave functions defined in ordinary three--dimensional space---usually treated as conditional or derived quantities---are elevated to ontological primitives. In this formulation, particle positions and their associated three--dimensional wave functions jointly constitute the fundamental ontology, while the universal wave function on configuration space is retained as part of the formal structure generating their dynamics. Each particle is associated with a wave function in three--dimensional space, conditioned on the actual positions of the others, yielding an exact reformulation of standard Bohmian dynamics. Within a \( \psi \)--ontic framework supported by the Pusey--Barrett--Rudolph theorem, we argue that the ontological status of the wave function need not be tied to configuration space, but may instead be realized through interacting wave fields defined directly in physical space. This reinterpretation preserves the full empirical and dynamical content of Bohmian mechanics while restoring a spatially grounded ontology. Although no new testable predictions are introduced, the proposed framework secures three conceptual gains: ontological clarity, pedagogical accessibility, and extension potential. The novelty lies in providing an exact, spatially grounded reformulation that clarifies the ontological role of wave functions without committing to configuration space as the fundamental arena of physical reality.