共振，不稳定系统和不可逆性：物质与心灵相遇
Resonances, Unstable Systems and Irreversibility: Matter Meets Mind
摘要：
动力系统的基本时间反演不变性可以通过各种方式被打破。一种方法是基于共振的存在及其相互作用，从而产生不稳定的动力系统，导致定义明确的时间箭头。与这些时间箭头相关联的是具有时间方向的半群。通常，当时间对称性被破坏时，会产生两个面向时间的半群，一个面向未来，一个面向过去。如果时间反演的状态和演化由于共振而被排除，那么这些状态及其相关的时间向后定向半群的地位是值得商榷的。这些状态和半群的一个可能的角色是作为精神系统的抽象表示，而不是物质系统。这种解释的开始将被概述。
英文摘要：
The fundamental time-reversal invariance of dynamical systems can be broken in various ways. One way is based on the presence of resonances and their interactions giving rise to unstable dynamical systems, leading to well-defined time arrows. Associated with these time arrows are semigroups bearing time orientations. Usually, when time symmetry is broken, two time-oriented semigroups result, one directed toward the future and one directed toward the past. If time-reversed states and evolutions are excluded due to resonances, then the status of these states and their associated backwards-in-time oriented semigroups is open to question. One possible role for these latter states and semigroups is as an abstract representation of mental systems as opposed to material systems. The beginnings of this interpretation will be sketched.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
