Dear Hou Ying Yau,
You have picked an important topic and generated a new approach. I agree that the properties of an uncharged particle include 4-momentum, time and space, and I agree that the particles are physically real and localizable. In my approach, (The Nature of the Wave Function), I do not focus on the Planck scale. You discuss whether the amplitude of the matter waves can have a physical interpretation related to the principles of space-time relativity. I first assume 'flat space' and then I apply the weak field equation of general relativity to arrive at a wave function for non-relativistic QM. Unlike you, I have not considered information loss. Although our approaches are somewhat different, we both agree there *is* reality beneath quantum theory.
I am happy to see yet another essay that accepts the reality of the particle and a physical significance for the wave function. Both theory and recent experiments seem to be pointing this way.
Best of luck in the essay contest.
Edwin Eugene Klingman