从因果集推导狭义相对论
A Derivation of Special Relativity from Causal Sets
摘要：
我们提出了一个新的推导狭义相对论的基础上的事件的信息物理组成的因果集。我们假设事件是基本的，一些事件有可能接收其他事件的信息，但反之亦然。这导致了偏序事件集的概念，称为因果集。量化通过选择两个协调事件链进行，每个链代表一个观察者，并为每个链分配一个估值。事件可以通过识别链上最早的事件来投射到每个链上，该事件可以被告知。通过这种方式，每个事件都可以通过一对数字来量化，称为一对数字，该数字来自链上的估值。对可以被分解为对称和反对称对的总和，它们对应于类时间和类空间坐标。从这个对，我们得到一个标量测度，并表明这是闵可夫斯基度量。接着是洛伦兹变换，以及速度是联系两个惯性系的一个相关量，并且存在一个最大速度，它在所有惯性系中都是不变的。所有结果都直接来自事件假设和所采用的量化方案。
英文摘要：
We present a novel derivation of special relativity based on the information physics of events comprising a causal set. We postulate that events are fundamental, and that some events have the potential to receive information about other events, but not vice versa. This leads to the concept of a partially-ordered set of events, which is called a causal set. Quantification proceeds by selecting two chains of coordinated events, each of which represents an observer, and assigning a valuation to each chain. Events can be projected onto each chain by identifying the earliest event on the chain that can be informed about the event. In this way, each event can be quantified by a pair of numbers, referred to a pair, that derives from the valuations on the chains. Pairs can be decomposed into a sum of symmetric and antisymmetric pairs, which correspond to time-like and space-like coordinates. From this pair, we derive a scalar measure and show that this is the Minkowski metric. The Lorentz transformations follow, as well as the fact that speed is a relevant quantity relating two inertial frames, and that there exists a maximal speed, which is invariant in all inertial frames. All results follow directly from the Event Postulate and the adopted quantification scheme.
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