粒子与场的精确力学类比
Towards an Exact Mechanical Analogy of Particles and Fields
摘要：
电磁场和粒子的精确类比可以在具有空隙的湍流理想流体的连续介质力学中找到。湍流偏离均匀各向同性状态对应于电磁场：平均压力为静电势，平均流体速度为磁矢量势，平均湍流能量密度为电动势。扰动波模拟了电磁波。流体的空腔用作壁以支持湍流的静止扰动。在存在空隙的情况下，湍流非粒子流体的空化导致形成空的空间和静止流体的湍流夹杂物。这些模型分别模拟了带正电和带负电的粒子。由于膨胀，夹杂物与湍流扰动场相互作用。这看起来就像电荷与电磁场的相互作用。随机环境模型中夹杂的分裂与色散量子粒子的离域。
英文摘要：
An exact analogy of electromagnetic fields and particles can be found in continuum mechanics of a turbulent perfect fluid with voids. Deviations of the turbulence from a homogeneous isotropic state correspond to electromagnetic fields: with the average pressure as electrostatic potential, the average fluid velocity as magnetic vector potential and the density of the average turbulence energy as electromotive force. The waves of turbulence perturbation model the electromagnetic waves. Cavities of the fluid serve as walls to support stationary perturbations of turbulence. Cavitation of the turbulent noncorpuscular fluid occurring in the presence of voids leads to forming dilatational inclusions of empty space and of the quiescent fluid. These model the positive and negative electrically charged particles, respectively. Due to the dilatation, the inclusions interact with the turbulence perturbation fields. This looks exactly as interaction of the charges with the electromagnetic fields. Splitting and dispersion of an inclusion in the stochastic environment model delocalization of a quantum particle.
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