论文标题
探索离散化在自组织出现中的作用在连续蜂窝自动机和其他复杂动态系统的某些近似值中的作用
Intention to explore the role of discretization in the emergence of self-organization in certain approximations of continuous cellular automata and other complex dynamic systems
论文作者
论文摘要
约翰·H·康威（John H. Conway）的生命游戏以及较大的诸如生命般的CA家族中的蜂窝自动机是离散的：细胞具有二进制状态空间，出生和生存过渡规则是9位。受到生活的启发，几个项目在两个维度上开发了连续值的蜂窝自动机框架。这些CA系统在数字计算机中实现时必然是理想连续系统的近似值，这不可避免地会导致离散错误。众所周知，至少从庞加莱（Poincairé）在三体问题上进行工作的时间，复杂动态系统中的任意小错误会导致随着时间的推移的实质性行为偏差。 意图的概述基于在细胞自动机中的观察结果，在某些情况下，错误不仅容易耐受，而且对于自组织至关重要。 该手稿描述了一组实验，以研究离散化在近似持续重视动态系统的重要性，如何以及何时需要离散化才能进行自组织，以及结果可能与新兴的代理机构和意识的类比有关的相关性。
John H. Conway's Game of Life, as well as cellular automata in the larger family of Life-like CA, are discrete: the cells have a binary state space and the birth and survival transition rules are 9-bits apiece. Inspired by Life, several projects have developed continuously-valued cellular automata frameworks in 2 dimensions. These CA systems are necessarily imperfect approximations of ideal continuous systems when they are implemented in a digital computer, and this inevitably leads to discretization errors. As we know since at least the time of Poincairé's work on the three-body problem, arbitrarily small errors in a complex dynamic system can lead to substantial behavioral deviation over time. This outline of intent is based on observations in cellular automata that, in certain cases, errors are not only well-tolerated, but are essential for self-organization. This manuscript describes a set of experiments to investigate the importance of discretization in approximating continuously valued dynamic systems, how and when discretization is required for self-organization to occur, and the relevance the results might have with respect to emergent agency and analogies for consciousness.
