Dear Angel,
Thank you for your feedback. As you have mentioned, the process described in the new model may remind us of the virtual states that exists only for a limited time. In the quantum theory, virtual particles do not have a permanent existence; they arise from fluctuations of vacuum energy, and can be understood as a manifestation of time-energy uncertainty principle. Unlike the virtual particle, a normalized field in our new model always has sufficient energy for one particle to appear. The energy in this system is real which surface to the observational level as a real quantized oscillator (or particle). It appears at a location and can jump to other locations depending on the probability distribution. The world line in this case is real. Thank you for pointing out the similarity and differences between the virtual particle and the real quantized particle in our approach.
Hou-Ying Yau