The origin of the pseudogap region below a temperature T* is at the heart of the mysteries of high-Tc cuprate superconductors.The proposed broken time-reversal and inversion symmetry due to ordered loop currents is consistent with five different classes of symmetry-sensitive experiments. However, MuSR and NMR didn't see the static magnetic fields expected for such an order. By measuring the variation of muon spin relaxation rate in a field oriented along the initial muon spin polarization of single crystals of YBa2Cu3Oy, we have discovered that the field is there, it is just fluctuating. Now we propose to do more MuSR experiments to enrich the phase diagram and investigate the new physics in this system.