I don't think that deja vu is deep and meaningful.

I believe that deja vu is just your brain playing a trick on you. The similarity between a déjÃ* vu-eliciting stimulus and an existing, but different, memory trace may lead to the sensation. Thus, encountering something which evokes the implicit associations of an experience or sensation that cannot be remembered may lead to déjÃ* vu.

or

In the late 20th and early 21st Centuries, it was widely believed that déjÃ* vu could be caused by the mis-timing of neuronal firing. This timing error was thought to lead the brain to believe that it was encountering a stimulus for the second time, when in fact, it was simply re-experiencing the same event from a slightly delayed source