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We've all experienced this strange phenomenon. Are there any religious explanations for this?
Our spirit is receiving input all the time, but mostly it is crushed by our overpowering intellectual capacity. Our spirit's viewpoint is completely ignored unless something else jolts it to the forefront.
Dreams are a bit like that. Non believers can receive God given dreams as well as believers can. The bible contains many examples where God speaks to a non believer, eg. Nebuchadnezzar. Remembering a dream when we wake requires practice though. My wife and I always try to keep a note pad handy to record everything that we dream, if it makes the slightest coherent sense. We can check it out later when we have the time. If I suspect that God is drawing something to my attention, I always then start by asking for wisdom, which God promises to those who ask.
Obviously our memories may also hide any random dream and not just God given dreams. It may be these hidden things that trigger the deja vu. Again if I sense something I will start by asking God, what is happening here.
Also, many times what might be thought of as deja vu, could be nothing more than our spirit man there and then recognising something in the realm of the spirit. Don't lose sight of the fact that it is only through the human spirit that we receive anything of God. The hotline between our human spirit and our mind is sometimes so clogged up by neglect that nothing can get through. Our mind is blind and deaf to what our spirit can see clearly. It is down to us to cultivate our hearing in sensitivity and discernment by listening to God.
As someone else has already described, I have always sensed the presence of the Lord when I have been making major decisions or going out house hunting. I know when I am being led to buy a house, by that great sense of God's approval in my spirit. I do not just go by what I see with my natural eyes, I value God's thoughts via my spiritual ears.