Stephen Hawking explains this, considering a mirror-image of our universe with all objects having momenta and positions reflected by an imaginary plane (corresponding to a parity inversion), with all of matter replaced by anti-matter (corresponding to a charge inversion), and reversed in time. The preservation of CPT-symmetry would mean that both the universes will evolve alike, in the sense that, at any moment, they are identical and the CPT transformation would simply take one into another. The symmetry is recognized to be a very fundamental property of physical laws.
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