Modified Kaluza-Klein Theory, Quantum Hidden Variables and 3-Dimensional Time

Abstract

In this paper, the basic quantum field equations of free particle with 0-spin, 1-spin (for case of massless and mass $>$ 0) and 1/2 spin are derived from Einstein equations under modified Kaluza-Klein metric, it shows that the equations of quantum fields can be interpreted as pure geometry properties of curved higher-dimensional time-space . One will find that if we interpret the 5th and 6th dimension as ``extra'' time dimension, the particle's wave-function can be naturally interpreted as a single particle moving along geodesic path in 6-dimensional modified Kaluza-Klein time-space. As the result, the fundamental physical effect of quantum theory such as double-slit interference of single particle, statistical effect of wave-function, wave-packet collapse, spin, Bose-Einstein condensation, Pauli exclusive principle can be interpreted as ``classical'' behavior in new time-space. In the last part of this paper, we will coupling field equations of 0-spin, 1-spin and 1/2-spin particles with gravity equations.