What are the current explanations for precognitive dreams?  I'm in a
new relationship, both of us are constantly having deja vu while we're
together, and last weekend I was shocked when I realized that a dream
that I had four years ago was instantiated, to a tee.  I had dreamt
that I was in a hotel room with an as-yet unknown man, when he looked
out the window and uttered a sentence.  Last weekend my partner
uttered the very same words, in the very same circumstance, and my
dream came flooding back to me.  We're both very "scientifically
inclined," and don't know what to make of this.  Help?

The Answer is, there is no explanation, especially a scientific one.

Precognitive Dreams 
http://alquinte.com/en/iod/motiv_precog.shtml

There's 21,800 results for your quesry in Google:

Precognitive Dreams 
://www.google.com/search?hl=en&q=Precognitive+Dreams+&btnG=Google+Search

Adding the word Scientific narrows the search to 8,110:

Precognitive Dreams scientific
://www.google.com/search?hl=en&lr=&c2coff=1&q=Precognitive+Dreams+scientific&btnG=Search

You might find this article interesting:

Spirituality and Science: The Holographic Universe
http://www.experiencefestival.com/a/Holographic_Universe/id/5864

More here:

A Wisdom Archive on Precognitive Dreams
http://www.experiencefestival.com/precognitive_dreams

~~Cynthia

Nothing is proven or completely accepted, but I have a few suggestions
for topics you might want to research:

REM sleep and dream state (we dream a lot more than we remember)

Memory distortion and false recall (we sometimes "remember" things
clearly yet incorrectly)

Memory formation time, biology, chemistry (memories aren't formed the
way you might think)


One problem with searching for scientific evidence regarding
"precognitive dreams" is that not everyone calls it that.  In fact, if
someone uses that word regularly, they are probably leaning one
direction already.  Therefore, using those two words as the only
search terms might limit your range of information.

A common theory makes use of speculation on large numbers of forgotten
dreams, recall only of specific dreams due to a real-life cue, and
memory distortion.  You might see where that is headed.  While this or
any other theory on precognitive dreams is not proven, if you study
the tons of research on memory and dreams you will find that the
underlying components are sometimes proven fact and other times just a
whole lot more likely than seeing the future in dreams.  There is a
lot to learn about memory, and after you learn only some of it you
will probably start to see this precognitive dream situation as a lot
less remarkable than you thought.