I did a quick search...
http://www.ghosttheory.com/2009/04/23/scientific-proof-of-ghosts-the-ultimate-fools-quest wrote:Scientific Proof
The law of thermodynamics, if examined from a different angle, could prove that ghosts exist. Even if it cannot be taken as proof, it could give rise to a number of questions. If these questions are taken seriously and attempts made to find answers to them, we might very well come up with proof that ghosts exist.
What is the law of thermodynamics? Among the gravitational laws, this is the most significant law. A careful study of it reveals the fact that science has already proved that ghosts do exist. According to this law "Energy can neither be created nor destroyed; it can only change form."
Let us now analyze this law carefully. Energy never dies, according to this important law; instead, energy shifts from one form to the other. Accordingly, the energy that we are is not destroyed by death; it just changes form.
Skeptics would say that our bodies would be decomposed by the action of the microorganisms, and this is how human energy would change form. But, what about the intelligence that gives us an identity? Just consider the amazing nature of our minds and bodies. Would all this just end up as being fodder for the microbes? Does this sound like a fair exchange? The more one questions, the more one feels that there is more to life than what meets the scientific eye.
The world of the paranormal will become familiar to us only if we keep a positive and open mind and study it. Instead of dismissing paranormal experiences as exercises of the imagination, we must get more curious about it and question it. Only then will great knowledge be opened to us.
This is interesting, but I don't see why energy would actually have conciousness. Conciousness comes from the brain. If the brain stops functioning, so does conciousness.
However...
http://www.newsmonster.co.uk/paranormal-unexplained/near-death-experiences-are-real-and-we-have-the-proof-say-scientists.html wrote:Dr Parnia has previously studied near-death experiences. Two years ago his work was published in the prestigious medical journal Resuscitation. Dr Parnia’s team rigorously interviewed 63 cardiac arrest patients and discovered that seven had memories of their brief period of ‘death’, although only four passed the Grayson scale, the strict medical criteria for assessing near-death experiences. These four recounted feelings of peace and joy, they lost awareness of their own bodies, time speeded up, they saw a bright light and entered another world, encountered a mystical being and faced a “point of no return”.
According to modern medicine all of these patients were effectively dead. Their brains had shut down and no thoughts or feelings were possible. There was certainly no possibility of the complex brain activity required for dreaming or hallucinating.
This means that there's actually some proof of the existence of souls, which supports the idea of ghosts existing.