C-symmetry is the symmetry of physical laws over a
charge-inversion
transformation. The laws of
electromagnetism, both
classical and
quantum are
invariant under this transformation, ie., if all charges (q's) were replaced with charges of negative sign (-q's), in all the equations of electromagnetism, still the laws would preserve the same form. But, evidently this symmetry is violated in observation, owing to the fact that our physical universe is made up of
matter and not
anti-matter. Though in principle, a positive charge is in all respects identical to that of a negative charge (the choice of 'positiveness' or 'negativeness' being only a convention, as one can say), in reality it isn't. Thus, the violation of C-symmetry was realized to be a fundamental physical property of the universe. It was believed for some time that this along with the
parity inversion transformation (see
P-symmetry) would preserve a
CP-symmetry. Even this symmetry was found to be violated later. Now, a stronger symmetry
CPT-symmetry that includes time-reversal too into the picture is believed to be preserved.
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