渐近列尼亚中的细胞自动机滑翔机的非平态自致性

Q. Tyrell Davis
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摘要

与生命一样,"蕾妮娅 CA "也支持一系列模式,这些模式会移动、与环境互动和/或因互动而改变。这些模式保持着一种内聚的、自组织的形态学,即它们是自组织的典范,自组织原则是一个由维持自身的组件和过程组成的网络。最近的研究报告指出,标准莱尼亚中的非柏拉图行为可能取决于剪切函数,而莱尼亚滑翔机很可能不会出现非柏拉图不稳定性。在这项工作中,我展示了一个 ALenia 滑翔机的例子,它的自造血能力依赖于一定的模拟粗糙度:当模拟的空间或时间分辨率太细时,滑翔机不再保持其形态或动力学。我还展示了渐近 Lenia 滑翔机的不稳定性图,以及其他与 CA 框架无关的不稳定性图,这些图显示了细小边界细节的分形保留,直至浮点精度的极限。
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Non-Platonic Autopoiesis of a Cellular Automaton Glider in Asymptotic Lenia
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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