Imagine a sea of electrons which is so tightly packed that exclusion principle comes into play, next I remove 1 electron from this sea... this hole should behave like a particle and is positively charged so my question can it creates interference pattern when passing through doubleslit?
The positron is a quantum particle and would show the same behavior as the electron. Interference fringes included. We would need more than one positron to see them though. But the description of a positron as a hole in the sea of Durac electrons is just that. A description. Any description of quantum objects in ordinary language will always be counter intuitive.
The Dirac Sea explanation of negative frequency solutions is untenable. A bottomless sea of filled electron states implies infinite electron density. The associated infinite negative charge density must be compensated by an equally infinite positive charge density. Effects of electron correlation would likely alter the properties of the hole, giving an effective mass different from that of an electron. What are the n&k values of the Dirac Sea? We observe that the vacuum is perfectly transparent. How can this be consistent with the omnipresence of an infinite electron density ?