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We consider possible extensions to quantum mechanics proposed by StevenWeinberg, and re-analyze his prediction of a new test based upon three atomicclocks in the same atom. We propose realistic experimental systems where thishypothesis can be tested. Two systems already set limits on deviations fromquantum mechanics, while with another system, one would be able to search fornew physics at the limit of sensitivity of the best atomic clocks.

A proposed test of quantum mechanics with three connected atomic clock transitions