量子形态发生：Thom突变理论的一个变体
Quantum morphogenesis: A variation on Thom's catastrophe theory
摘要：
非对易命题是量子和非量子（社会学、生物学、心理学）情形的特征。在希尔伯特空间模型中，状态被理解为所有可能命题之间的相关性，由密度矩阵表示。如果所讨论的系统通过反馈与环境相互作用，则其动态是非线性的。密度矩阵的非线性演化导致了非对易系统中可能出现的形态发生现象。提出了几个明确的精确可解模型，包括“生物体的出生和死亡”和“互补特性的发展”。
英文摘要：
Non-commutative propositions are characteristic of both quantum and non-quantum (sociological, biological, psychological) situations. In a Hilbert space model states, understood as correlations between all the possible propositions, are represented by density matrices. If systems in question interact via feedback with environment their dynamics is nonlinear. Nonlinear evolutions of density matrices lead to phenomena of morphogenesis which may occur in non-commutative systems. Several explicit exactly solvable models are presented, including `birth and death of an organism' and `development of complementary properties'.
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。
