Dubischar D, Gundlach V M, Steinkamp O, Khrennikov A
Institut für Dynamische Systeme, Universität Bremen, D-28334 Bremen, Germany.
J Theor Biol. 1999 Apr 21;197(4):451-67. doi: 10.1006/jtbi.1998.0887.
We develop a model of the process of thinking in the presence of noise (which is produced by the simultaneous action of a huge number of neurons in the brain as well as by external information and internal cognitive processes). Our model is based on Freud's idea on the splitting of cognitive processes into two (closely connected) domains: consciousness and subconsciousness. We represent the process of thinking as a random dynamical process in a space of ideas endowed with a non-Euclidean geometry (which differs extremely from the ordinary Euclidean geometry of spatial location of neurons in the brain). The so-called p-adic geometry on a space of ideas describes the ability of cognitive systems to form associations. We show that random dynamical thinking systems on a p -adic space of ideas still generate only deterministic ideas. We also study positive and negative effects of noise (in particular, creativeness and stress).
我们构建了一个在存在噪声情况下的思维过程模型（该噪声由大脑中大量神经元的同步活动以及外部信息和内部认知过程产生）。我们的模型基于弗洛伊德将认知过程分为两个（紧密相连）领域的观点：意识和潜意识。我们将思维过程表示为赋予非欧几里得几何（与大脑中神经元空间位置的普通欧几里得几何截然不同）的观念空间中的随机动态过程。观念空间上的所谓p进几何描述了认知系统形成联想的能力。我们表明，p进观念空间上的随机动态思维系统仍然只产生确定性的观念。我们还研究了噪声的正负效应（特别是创造力和压力）。
