论文标题
空间和时间的结构以及古典物理的不确定性
The Structure of Space and Time, and the Indeterminacy of Classical Physics
论文作者
论文摘要
我解释了空间和时间的结构在什么意义上可能是模糊的或不确定的,这是我定义的概念。这导致通过模糊的间隔在空间和时间中位置的数学表示。由此,得出了空间位置和速度之间互补不准确的原则,并且与讨论的不确定性原理有关。此外,即使自然定律是确定性的,系统的行为也会在某种程度上随机。这些和其他考虑因素使经典物理学更接近量子力学。给定时间箭头,也得出了熵的箭头。最后,使混乱具有额外的客观含义。
I explain in what sense the structure of space and time is probably vague or indefinite, a notion I define. This leads to the mathematical representation of location in space and time by a vague interval. From this, a principle of complementary inaccuracy between spatial location and velocity is derived, and its relation to the Uncertainty Principle discussed. In addition, even if the laws of nature are deterministic, the behaviour of systems will be random to some degree. These and other considerations draw classical physics closer to Quantum Mechanics. An arrow of entropy is also derived, given an arrow of time. Lastly, chaos is given an additional, objective meaning.