论文标题
量子旋转是本体论的旋转的小扰动吗？
Are quantum spins but small perturbations of ontological Ising spins?
论文作者
论文摘要
经典伊斯林旋转的动力学效果在这里被概括为任意长的链。这是一个本体论模型，具有定义统一更新运算符的成对交换交互产生的离散动力学。该模型结合了有限的信号速度，并在许多方面类似于离散的自由场理论。我们推断出相应的汉密尔顿运营商，并表明它产生了确切的终止贝克 - 贝克贝尔·霍斯多夫公式。这项研究的动机由量子力学的细胞自动机解释提供。我们发现，我们的本体论模型是经典和确定性的，似乎在适当的形式描述中似乎是量子机械类型的。然而，令人惊讶的是，（原则上）模型的小变形将其变成了真正的量子理论。这支持了量子力学源于处理物理现象的认知方法。
The dynamics-from-permutations of classical Ising spins is generalized here for an arbitrarily long chain. This serves as an ontological model with discrete dynamics generated by pairwise exchange interactions defining the unitary update operator. The model incorporates a finite signal velocity and resembles in many aspects a discrete free field theory. We deduce the corresponding Hamiltonian operator and show that it generates an exact terminating Baker-Campbell-Hausdorff formula. Motivation for this study is provided by the Cellular Automaton Interpretation of Quantum Mechanics. We find that our ontological model, which is classical and deterministic, appears as if of quantum mechanical kind in an appropriate formal description. However, it is striking that (in principle arbitrarily) small deformations of the model turn it into a genuine quantum theory. This supports the view that quantum mechanics stems from an epistemic approach handling physical phenomena.
