This is, in my opinion, the correct interpretation of "reincarnation". It's the realisation that your experience (and you!) is changing moment-to-moment, never constant. Being that the self is inconstant, what is self and what is not self can be sorted out. Going beyond that to imply a continuity of the "same" "individual" consciousness after a birth is not the point being made.

>but this theory is supported by simple logic of buddhist philosophy.

but not supported by science.

Science is not an absolute knowledge. It has many unproved theories and makes mistakes on a regular basis.

(Please note that my world view is purely scientific but I'm using buddhist ideas for looking into my consciousness because science doesn't say much about it.)