Violation of time reversal invariance in the decays K-L ->pi(+)pi(-)gamma and K-L ->pi(+)pi(-)e(+)e(-)

The origin of the large CP-odd and T-odd asymmetry observed in the decay K- L --> pi(+)pi(-)e(+)e(-) is traced to the polarization properties of the ph oton in the; decay K-L - pi(+)pi(-)gamma. The Stokes vector of the photon ( S)over right arrow = (S-1,S-2,S-3) is studied as a function of the photon e nergy and found to possess CP-violating components S-1 and S-2 which are la rge, despite being proportional to the epsilon parameter of the K-L wave fu nction. The component S-1 is T-even and manifests itself as a circular pola rization of the photon, while S-1 is T-odd and gives rise to the asymmetry observed in K-L --> pi(+)pi(-)e(+)e(-) . The latter survives in the limit i n which all unitarity phases are absent,:and represents a genuine example o f time reversal symmetry breaking in a CPT invariant theory.