(I assume by common reference that you take "the invisible" to mean the realm of spirits, ghosts, god, etc.)
There are several things that are invisible that science can measure. Consider gravity and electromagnetism. You can't see the sun pulling on the earth with a gigantic rope, nevertheless we continue to orbit it. Using observation and experiment, we've established mathematical models that explain how gravity effects the universe, and our predictions based on those models are now so accurate that hyperbole fails to describe it.
Things like spirits, ghosts, god, etc. are purported to be invisible, but if they indeed exist then there should be some way that we could measure their effects upon our universe. Granted, science cannot responsibly state that these things do not exist because it's impossible to prove a negative.
However (Carl Sagan mode - engage)...If I say there's a dragon in my garage, but it's invisible, incorporeal, and has no measurable effect at all, what's the effective difference between an undetectable dragon and no dragon at all? All you have then at that point is a belief that the dragon exists, and beliefs are unreliable.
If you could find a way to show a measurable effect that would support the theory of ghosts or life after death, then you will have accomplished what no human being in history has done before.