标题： 超越自旋：无自旋量子力学中的扭转驱动非线性 显示英文标题

标题： Beyond Spin: Torsion-Driven Nonlinearity in Spinless Quantum Mechanics

摘要： 我们提出了一种新颖的随机变分方法（SVM），用于在具有挠率的弯曲空间中量化非相对论无自旋粒子。与正则量子化不同，这种方法自然适用于一般坐标系中的量子化，并表明通常与自旋相关的挠率可以通过量子涨落影响无自旋粒子的量子动力学。在平坦空间中，这种由挠率引起的效应表现为薛定谔方程中的对数非线性，这与孤子研究、波函数塌缩以及可能对传统量子力学的修改有关。由于挠率出现在各种修正引力理论中，特别是在早期宇宙和暗物质相关的理论中，我们的发现表明了这些效应可能影响量子行为的新机制。我们还提供了挠率大小上限的一个粗略估计。 显示英文摘要

摘要： We present a novel stochastic variational method (SVM) for quantizing non-relativistic spinless particles in curved spaces with torsion. Unlike canonical quantization, this approach is naturally suited for quantization in general coordinate systems and shows that torsion, typically associated with spin, can influence the quantum dynamics of spinless particles through quantum fluctuations. In a flat space, this torsion-induced effect appears as a logarithmic nonlinearity in the Schroedinger equation, which is relevant to studies of solitons, wave function collapse, and possible modifications to conventional quantum mechanics. Since torsion arises in various modified gravity theories, particularly those related to the early universe and dark matter, our findings suggest a new mechanism through which such effects may impact quantum behavior. We also provide a rough estimate for the upper bound of the torsion magnitude.