Intrinsic Limits on Quantum Coherence: Characteristic Velocity, Frequency, and Geometric Thresholds.

Quantum coherence, the hallmark of quantum superposition and interference, is not only limited by environmental decoherence but also by intrinsic quantum properties and spacetime geometry. In this work, we rigorously derive characteristic velocity scales and critical frequencies that define the persistence of coherence, based on the Heisenberg Uncertainty Principle and wave packet dynamics. We further extend the framework to include potential influences of spacetime curvature, introducing a geometric length scale relevant to coherence persistence. This unified approach offers quantitative thresholds for coherence in ultracold atoms, neutron interferometry, nanomechanical resonators, and extreme astrophysical environments. Our results provide insights into the interplay between quantum mechanics, spatial confinement, and geometry, offering guidance for experimental design and quantum technology development.量子相干性(quantum coherence)作为量子叠加与量子干涉的标志性特征，其存续不仅受环境退相干效应的制约，还与内禀量子属性以及时空几何紧密相关。本研究基于海森堡不确定性原理（Heisenberg Uncertainty Principle）与波包动力学（wave packet dynamics），严格推导了表征量子相干性存续的特征速度尺度与临界频率。本研究进一步将该分析框架拓展至涵盖时空曲率的潜在影响，引入了与相干性存续相关的几何长度尺度。这一统一分析框架为超冷原子（ultracold atoms）、中子干涉测量（neutron interferometry）、纳米机械谐振器（nanomechanical resonators）以及极端天体物理环境中的量子相干性提供了定量阈值。本研究结果揭示了量子力学、空间约束与几何结构之间的相互作用机制，可为实验设计与量子技术研发提供理论指引。