But doesn't the state having a frequency require an "objective" time as a given? — Echarmion

No, that's the point, time is in an uncertainty relation with frequency. Therefore neither of these can be truly "objective". If you designate an "objective" frequency, then the determination of time is subject to whatever this frequency dictates . If you designate an "objective" time. then the determination of frequency will be dictated by this "time". It's an inescapable circle, the one is dependent on the other, but the other is dependent on the one..