Spacetime Geometry as a Modulator of Quantum Coherence: A Critical Velocity Perspective.

We propose that quantum coherence is fundamentally constrained by spacetime geometry. The coherence length L is determined by the smaller of two scales: a system’s physical size L_system or a curvature-dependent length L_curv, derived from the Ricci scalar R (matter-rich regions) or Kretschmann scalar K (vacuum). A critical velocity v_c = h/(mL) marks the threshold between quantum and classical regimes. Case studies in neutron stars, Bose-Einstein condensates (BECs), and strained graphene validate the model, demonstrating how curvature modulates coherence.

我们提出，量子相干性（quantum coherence）本质上受时空几何（spacetime geometry）约束。相干长度L由两个特征尺度中的较小值决定：系统的物理尺寸L_system，或是曲率相关长度L_curv——后者可由里奇标量R（物质富集区域）或克雷奇曼标量K（真空区域）推导得出。临界速度v_c = h/(mL) 界定了量子与经典区域的分界。针对中子星（neutron stars）、玻色-爱因斯坦凝聚态（Bose-Einstein condensates, BECs）与应变石墨烯（strained graphene）的案例研究验证了该模型，清晰展示了曲率如何调控相干性。