TITLE:
Describe Quantum Mechanics in Dual 4 d Complex Space-Time and the Ontological Basis of Wave Function
AUTHORS:
Guoqiu Zhao
KEYWORDS:
Field-Matter, Matter-Wave, Probability, Curvature, Curvature Coordinate
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.16,
October
30,
2014
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 that 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 that 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.