A Linear Approximate Model of Creativity in Quantum and Chaos Theory

Abstract

The appearance of creativity is one of the most attractive issues in neuroscience and psychology. Creativity has been investigated qualitatively by using concepts of quantum and chaos theory since the end of the 20th century. Here, we show an explicit mathematical model which tries to explain the dynamics on the development of creativity. The present model is constructed by a linear approximation of chaos theory in nonlinear dynamical system. Also, it is the classical approximation of quantum mechanics, in which Newtonian mechanics is derived. Significant feature of the creativity is an existence of discontinuity which may relate to sudden appearance of idea. Such discontinuous nature relates not only to nonlinear dynamics but also to quantum theory. In this study, we first investigate the characteristics of creative attitudes by means of factor analysis and abstract two chief factors of the creative attitudes; that are “efforts and durability” and “independence and originality”. Moreover, we find a significant positive relationship between the emotional experiences and the two creative attitudes. Scholastic ability judged by paper tests, on the other hand, also has a significant positive relationship with the factor of “effort and durability” but not with that of “independence and originality”. Secondly, we build a mathematical model on the change of the two chief factors of creative attitudes using the linear approximation in nonlinear dynamical systems. We use the Dirac delta function to express the discontinuity. The calculated results are expressed in a relation between the novelty and the workload. The present linear approximation model should be the first one to build mathematically a predictive model of creativity.