I know that from the Heisenberg uncertainty principle, ∆x∆p=ℏ/2 . And I know that this equation can be rewritten as ∆t∆E=ℏ/2.
From QED I also know that the equation ∆t∆E=ℏ/2 claims that some energy E can exist for some short time t then disappear. Is that true that the equation ∆x∆p=ℏ/2 also claims that some momentum p can exist for some short distance x and then disappear?
I wonder if momentum can be not conserved for some short displacement as energy can do so for some short time.