Determine whether a real-valued source is sufficient

Determine whether the key relaxation, entropy-production, and classicalization phenomena of the source-modified de Broglie-Bohm framework can be produced using a real-valued Schrödinger source, or whether both the real and imaginary source components are required by deeper symmetries or dynamical constraints.

Background

The source enters the modified Hamilton-Jacobi and continuity equations through phase-rotated real and imaginary projections. These projections control different physical effects: phase dynamics and effective quantum-potential modification arise from the real projection, while Born-density evolution and entropy production involve the imaginary projection. The paper therefore identifies the sufficiency of a real source as an unresolved structural question.