It's funny, I can accept that there would be some way to gain and use these powers in this hypothetical scenario, and that (in the invisibility case) light is either bending around a person or passing through unhindered, but I can't accept the inherent contradictions within those powers.
If light is passing through or around you, it's energy is not being transferred into the proteins of the light-sensitive cells in the retina and stimulating an active potential in the optical nerves. In other words, you are not seeing anything. If you are seeing anything, then this must be taking place, meaning that the energy that would otherwise be illuminating an object is being absorbed by the retina, thus casting a shadow.
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