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迈向动态系统中的化学

Towards chemistries in dynamical systems

Martin Biehl, Nathaniel Virgo

arXiv 2607.19090首次发表:更新:

AI 中文总结

探索用类似化学中分子及反应的方式描述动态系统,需做三个决策,包括确定位置、物种及转变反应集,提出状态更新相关要求,以生命游戏细胞自动机滑翔机为例说明,还指出方法存在的问题。

AI 中文摘要

化学从分子及其反应的角度描述宇宙的某些方面。在这项探索性工作中,我们提出了一种以类似方式描述任何动态系统某些方面的方法。要用这种方式描述动态系统,必须做出三个决策。一是有多少不同的“位置”可供分子或化学物种出现;二是如何确定每个位置存在(或不存在)的物种;三是不同位置的物种之间可能发生的转变和反应集。为使这些选择与动态系统的状态更新兼容,每个状态必须能够确定将当前出现的分子转变为更新状态中出现的分子的转变。我们还提出了一个额外要求,即在状态更新期间总是有一种独特的方式来选择最少数量的转变。我们讨论了生命游戏细胞自动机中的滑翔机,并认为按照兰德尔·比尔的定义,它们也满足额外标准。我们还指出了该方法的一些问题。

英文摘要

Chemistry describes aspects of the universe in terms of molecules and their reactions. In this exploratory work we present a way to describe aspects of any dynamical system in similar terms. To describe a dynamical system in this way three decisions have to be made. The first is how many different "places" there are at which molecules or chemical species can occur; the second is how to determine the species present (or not) at each place; and the third is the set of transitions and reactions that can occur between the species in the various places. For these choices to be compatible with the state update of the dynamical system each state must be able to determine transitions that take the currently occurring molecules to those occurring in the updated state. We also propose an additional requirement that there is always a unique way to choose the least amount of transitions occurring during state updates. We discuss gliders in the game of life cellular and argue that when following their definition of according to Randall Beer they satisfy the additional criterion as well. We also point out some issues with the approach.

Comments8 pages, accepted for presentation at the 2026 Artificial Life Conference

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