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存在满足整合信息理论所有公设(包括排斥性)且具有任意大整合信息的无限族基底

Existence of an infinite family of substrates satisfying all the postulates of integrated information theory, exclusion included, with arbitrarily large integrated information

A. Mayeux

arXiv 2610.02219首次发表:更新:

AI 中文总结

该研究构造了满足整合信息理论全部公设(含排斥性)的无限族基底,其整合信息随单元数二次方幂增长。

AI 中文摘要

对于无限多个规模,我们展示了一个由二元单元组成的循环,每个单元对其自身及其两个顺时针邻居执行异或运算。该循环在每种状态下都是一个复合体,且没有任何真子系统具有更高的整合度,其整合信息随单元数量的二次方幂增长。

英文摘要

For infinitely many sizes we exhibit a cycle of binary units, each taking the exclusive-or of itself and its two clockwise neighbours, that is a complex in every state, no proper subsystem being more integrated, and whose integrated information grows as two raised to a power quadratic in the number of units.

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