A theory for the phenomena observed in copper-oxide based high-temperature
superconducting materials derives an elusive time-reversal and rotational s
ymmetry-breaking order parameter for the observed pseudogap phase ending at
a quantum-critical point near the composition for the highest T-c. An expe
riment is proposed to observe such a symmetry breaking. It is shown that an
gle-resolved photoemission yields a current density which is different for
left and right circularly polarized photons. The magnitude of the effect an
d its momentum dependence is estimated. Barring the presence of domains of
the predicted phase, an asymmetry of about 0.1 is predicted at low temperat
ures in moderately underdoped samples.