Quantum Coherence Thresholds: Velocity and Phase Limits.

This article investigates the intrinsic limitations on quantum coherence in low-energy systems by deriving velocity and phase thresholds. We employ a rigorous application of the Heisenberg uncertainty principle and provide a clear physical interpretation of the derived quantities. This framework offers an accurate understanding of the constraints on quantum coherence, particularly relevant in ultracold atoms, neutron interferometry, and slow-electron systems.