Asymptotic Lenia中细胞自动机滑翔机的非柏拉图式自创生
Non-Platonic Autopoiesis of a Cellular Automaton Glider in Asymptotic Lenia
AI总结：
本研究展示了Asymptotic Lenia中滑翔机的非柏拉图式自创生现象，揭示其自创生能力依赖于模拟粗糙度，且不稳定性图谱在浮点精度极限内呈现分形保留。
摘要：
与Life一样，Lenia CA支持一系列移动、与环境交互和/或被这些交互所改变的模式。这些模式维持着凝聚的自组织形态，即它们体现了自创生——维持自身的组件与过程网络的自组织原则。近期将Asymptotic Lenia实现为反应扩散系统的研究报告称，标准Lenia中的非柏拉图式行为可能依赖于截断函数，且ALenia滑翔机可能不受非柏拉图式不稳定性的影响。在本研究中，我展示了一个ALenia滑翔机的例子，其自创生能力依赖于特定的模拟粗糙度：当以过细的空间或时间分辨率进行模拟时，该滑翔机不再维持其形态或动力学。我还表明，Asymptotic Lenia滑翔机及其他不同CA框架中滑翔机的不稳定性图谱，在直至浮点精度极限的范围内，展现出精细边界细节的分形保留。
英文摘要：
Like Life, Lenia CA support a range of patterns that move, interact with their environment, and/or are modified by said interactions. These patterns maintain a cohesive, self-organizing morphology, i.e. they exemplify autopoiesis, the self-organization principle of a network of components and processes maintaining themselves. Recent work implementing Asymptotic Lenia as a reaction-diffusion system reported that non-Platonic behavior in standard Lenia may depend on the clipping function, and that ALenia gliders are likely not subject to non-Platonic instability. In this work I show an example of a glider in ALenia that depends on a certain simulation coarseness for autopoietic competence: when simulated with too fine spatial or temporal resolution the glider no longer maintains its morphology or dynamics. I also show that instability maps of the asymptotic Lenia glider, and others in different CA framworks, show fractal retention of fine boundary detail down to the limit of floating point precision.
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