Describe quantum mechanics in Dual 4 d complex space-time and

                 the ontological basis of wave function

Guoqiu Zhao1, 2,* 

1 HuaZhong University of Science & Technology, LuoYu Road1037, Wuhan, Hubei, China

2 China Institute of Basic Science of Hubei, Wuhan, China

*Email: zhao66@126.com

Abstract: Micro-object is both particle and wave, so the traditional Particle Model (mass point model) is actually not applicable for it. Here to describe its motion, we expand the definition of time and space and pick up the spatial degrees of freedom hidden by particle model. We say micro-object is like a rolling field-matter-ball, which has four degrees of freedom including one surface curvature degree and three mapping degrees in the three-dimensional phenomenal space. All the degrees are described by four curvature coordinate components, namely “k1, k2, k3, k4”, which form the imaginary part of a complex phase space, respectively. While as to the real part, we use “x1, x2, x3, x4” to describe the micro object’s position in our real space. Consequently, we build a Dual 4-dimensional complex phase space whose imaginary part is 4-dimension k space and real part is 4-dimension x space to describe the micro-object’s motion. Furthermore, we say wave function can describe the information of a field-matter-ball’s rotation & motion and also matter-wave can spread the information of micro-object’s spatial structure & density distribution. Matter-wave and probability-wave can transform to each other though matter-wave is a physical wave. The non-point property is the foundational source of the probability in Quantum Mechanics.

已发美国  《Journal of Modern Physics (JMP)》杂志。
Website: http://www.scirp.org/journal/jmp