We reexamined the Copenhagen interpretations of quantum mechanics from the perspectives of mathematical deduction, logic reasoning process and intrinsic physical nature of wave function. We conclude that all the Heisenberg’s uncertainty principle, Born rule, and Bohr’s complimentary principle were not correct. Even for a quantum particle, at specific time, it must be classically localized but not non-local. Based on our analysis and deduction, the right interpretations to quantum mechanics were also developed.

Heisenberg’s uncertainty principle, Born rule, Bohr’s complimentary principle, wave function collapse, wave function superposition, Copenhagen interpretations