A new `wave-particle non-dualistic interpretation at a single-quantum level' is presented by showing the physical nature of Schrodinger's wave function as an ‘instantaneous resonant spatial mode’ to which a particle's motion is confined. The initial phase associated with a state vector is identified to be related to a particular position eigenstate of the particle and hence, the equality of quantum mechanical time to classical time is obtained; this equality automatically explains the emergence of classical world from the underlying quantum world. Derivation of the Born rule as a limiting case of "the relative frequency of detection" is provided for the first time, which automatically resolves the "measurement problem". Also, the Born rule derivation is supplemented with a geometrical interpretation. It's shown that the non-dualistic interpretation statistically yields the Copenhagen interpretation. ``What’s really going on?" in Young's double-slit experiment is explained at a single-quantum level. Also, an interference experiment is proposed to verify the correctness of the non-dualistic interpretation.