论文标题
部分可观测时空混沌系统的无模型预测
The paradox of infinitesimal granularity: Chaos and the reversibility of time in Newton's theory of gravity
论文作者
论文摘要
物理学的基本定律是时间对称的，但是我们的宏观经验与此相矛盾。时间可逆性悖论部分是牛顿运动方程式不可预测性的结果。我们衡量不可逆的，引力N体系统对数值精度的依赖性，并发现它作为幂律。然后，随机波数据包还原假设在笛卡尔相空间中引入了基本不确定性，该空间通过经典的三体动力学传播到三重寿命内的宏观尺度。然后，波函数的自发崩溃通过三重系统（以及可能的多体系统）的叠加来驱动宇宙的全局混乱行为。然后，无限粒度的悖论源自叠加原理，该原理指出，任何多体系统都是由三体问题的合奏组成的。
The fundamental laws of physics are time-symmetric, but our macroscopic experience contradicts this. The time reversibility paradox is partly a consequence of the unpredictability of Newton's equations of motion. We measure the dependence of the fraction of irreversible, gravitational N-body systems on numerical precision and find that it scales as a power law. The stochastic wave packet reduction postulate then introduces fundamental uncertainties in the Cartesian phase space coordinates that propagate through classical three-body dynamics to macroscopic scales within the triple's lifetime. The spontaneous collapse of the wave function then drives the global chaotic behavior of the Universe through the superposition of triple systems (and probably multi-body systems). The paradox of infinitesimal granularity then arises from the superposition principle, which states that any multi-body system is composed of an ensemble of three-body problems.
