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Surely the Heisenberg principle implies randomness - due to the uncertainty involved. I.e if the value of a body's position cannot be known exactly then is there not a randomness about that effective position?
In this world particles never move an infinite number of points to get from A to B. Instead, they simply jump from A to B. Sort of like a movie projector. I simply postulate the particles move into a timeless dimenstion as the our time laden universe moves onward, these particles simply reimerge from their timeless state and do it again and again.