自旋建模的另一种形式
An alternative formalism for modeling spin
摘要：
我们提出了一种替代的形式主义建模自旋。这种形式化的本体元素是长度为$n$的基2序列。然后，通过考虑基-2序列之间的相关性，开发了模拟物理所需的机器。在选择一个参考基2序列时，可以定义一个关系系统，我们将其解释为量子数。基于这些相关量子数的性质，从第一性原理出发，导出了控制相互作用自旋系统的选择定则。还提供了一种计算关联概率的工具，即量子力学中的平方Clebsch-Gordan系数。由此产生的模型提供了一个生动的自旋和相互作用的自旋系统的信息论图片。重要的是，这个模型是在没有对时空的性质做任何假设的情况下开发的，这为研究涌现的时空模型提供了一个有趣的机会。
英文摘要：
We present an alternative formalism for modeling spin. The ontological elements of this formalism are base-2 sequences of length $n$. The machinery necessary to model physics is then developed by considering correlations between base-2 sequences. Upon choosing a reference base-2 sequence, a relational system of numbers can be defined, which we interpret as quantum numbers. Based on the properties of these relational quantum numbers, the selection rules governing interacting spin systems are derived from first principles. A tool for calculating the associated probabilities, which are the squared Clebsch-Gordan coefficients in quantum mechanics, is also presented. The resulting model offers a vivid information theoretic picture of spin and interacting spin systems. Importantly, this model is developed without making any assumptions about the nature of space-time, which presents an interesting opportunity to study emergent space-time models.
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