普朗克能级物理学能通过随机游走来驱动经典宏观物理学吗？
Could Planck level physics be driving classical macroscopic physics through a random walk?
摘要：
我们研究一个非常简单的概念模型的随机行为的基础上，在速度空间中的随机行走过程。对于以经典非相对论速度运动的物体，这导致在非对称条件下的加速过程类似于服从牛顿第二定律的物体的行为，并且在三维空间中，出现依赖于平方反比定律的加速度。因此，非相对论性随机游走似乎能够描述经典物理学的某些显着特征;然而，这种经典行为似乎只能发生在质量超过我们认为是普朗克质量的阈值的物体上。在这种情况下，随机时空位移将小于普朗克长度和普朗克时间，因此这些具有经典行为的物体将被有效地定域。质量较低的物体表现出更快的扩散和更少的局部化，相对论性随机游走似乎需要质量与阈值质量相当或小于阈值质量的物体。结果表明，在微克质量范围内的内在量子经典跃迁的可能性。
英文摘要：
We examine a very simple conceptual model of stochastic behavior based on a random walk process in velocity space. For objects engaged in classical non-relativistic velocities, this leads under asymmetric conditions to acceleration processes that resemble the behavior of objects subject to Newton's second law, and in three dimensional space, acceleration dependent on an inverse square law emerges. Thus, a non-relativistic random walk would appear to be capable of describing certain prominent features of classical physics; however, this classical behavior appears to be able to take place only for objects with mass exceeding a threshold value which we identify with the Planck mass. Under these circumstances, stochastic space-time displacements would be smaller than the Planck length and the Planck time so that such classically behaved objects would be effectively localized. Lower mass objects exhibit more rapid diffusion and less localization, and a relativistic random walk would seem to be required of objects having masses comparable to and smaller than the threshold mass value. Results suggest the possibility of an intrinsic quantum-classical transition in the microgram mass range.
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