There is a series of fantasy books written by a man with a degree in Chemical Engineering (yes...) "The Daughters Curse" is the first one.
I recommend the books, but that isn't the point.
In these books, "Magic" is just the ability to see energy flow and then to control it. So the energy of what you are doing is tied to the object/thing you are doing and doesn't have to come from you. Want to make it move up? Manipulate the gravity waves/energy bleed it off or pull more in from the surroundings. It makes sense and could be used for psionics as well.
Telepathy is a more difficult one, especially at a distance, but the brain produces waves of energy when you think, such energy patterns in theory, could be read by someone sensitive to it - similar to an MRI. Touch Telepathy is much easier - reading the electrical patterns of the brain. Due to the complexity of language etc. it could be REALLY difficult to do, but theoretically possible.
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