General relativity is intrinsically a parity conserving theory, yet the current view of particle physics is that Nature is asymmetric, with maximal parity violation in the weak interactions and a small CP violation seen in the Kaon systems.
Of course a symmetric set of equations can have asymmetric solutions. For each left handed solution a right handed one would also exist. An alternative source of asymmetry is from asymmetric boundary conditions. However neither of thesse maechanisms seems adequate to explain a fundamental asymmetry in the laws of nature. This led me to take a fresh and independent look at the evidence for parity violation.