A wave function can be written in the form of Re^iS/ℏ . We put this form of wave function into quantum mechanics equations and take hydrodynamic limit, i. e., let Planck constant be zero. Then equations of motion (EOM) describing the movement of macroscopic bodies are retrieved. From Schrdinger equation, we obtain Newtonian mechanics, including Newton’s three laws of motion; from decouple Klein–Gordon equation with positive kinetic energy (PKE), we obtain EOM of special relativity in classical mechanics. These are for PKE systems. From negative kinetic energy (NKE) Schrdinger equation and decoupled Klein–Gordon equation, the EOM describing low momentum and relativistic motions of macroscopic dark bodies are derived. These are for NKE systems, i. e., dark systems. In all cases scalar and vector potentials are also taken into account. The formalism obtained is collectively called macromechanics. For an isolated system containing PKE and NKE bodies, both total momentum and total kinetic energy are conserved. A dark ideal gas produces a negative pressure, and its microscopic mechanism is disclosed. Two-body problems, where at least one is of NKE, are investigated for both macroscopic bodies and microscopic particles. A NKE proton and a PKE electron can compose a stable PKE atom, and its spectral lines have blue shifts compared to a hydrogen atom. The author suggests to seek for these spectral lines in celestial spectra. This provides a way to seek for dark particles in space. Elastic collisions between a body and a dark body are researched.

波函数可以写成R e ^{i S / ℏ} . 我们将这种形式的波函数代入量子力学方程，并取流体力学极限，即令普朗克常数为零。然后检索描述宏观物体运动的运动方程 (EOM)。从薛定谔方程，我们得到牛顿力学，包括牛顿三大运动定律；从具有正动能 (PKE) 的 Klein-Gordon 方程解耦，我们获得了经典力学中狭义相对论的 EOM。这些用于 PKE 系统。从负动能 (NKE) 薛定谔方程和解耦克莱因-戈登方程，推导出描述宏观暗体的低动量和相对论运动的 EOM。这些用于 NKE 系统，即暗系统。在所有情况下，标量势和矢量势也要考虑在内。得到的形式统称为宏观力学。对于包含 PKE 和 NKE 体的孤立系统，总动量和总动能都是守恒的。暗理想气体产生负压，揭示其微观机理。双体问题，其中至少一个是 NKE，对宏观物体和微观粒子都进行了研究。一个 NKE 质子和一个 PKE 电子可以组成一个稳定的 PKE 原子，与氢原子相比，其谱线有蓝移。作者建议在天体光谱中寻找这些光谱线。这提供了一种在太空中寻找暗粒子的方法。研究了物体和暗体之间的弹性碰撞。双体问题，其中至少一个是 NKE，对宏观物体和微观粒子都进行了研究。一个 NKE 质子和一个 PKE 电子可以组成一个稳定的 PKE 原子，与氢原子相比，其谱线有蓝移。作者建议在天体光谱中寻找这些光谱线。这提供了一种在太空中寻找暗粒子的方法。研究了物体和暗体之间的弹性碰撞。双体问题，其中至少一个是 NKE，对宏观物体和微观粒子都进行了研究。一个 NKE 质子和一个 PKE 电子可以组成一个稳定的 PKE 原子，与氢原子相比，其谱线有蓝移。作者建议在天体光谱中寻找这些光谱线。这提供了一种在太空中寻找暗粒子的方法。研究了物体和暗体之间的弹性碰撞。