We know that for Heisenberg uncertainty principle, position and momentum are conjugates, energy and time are conjugates. Like wise what is the conjugate variable for angular momentum? Is it orientation along with something? Or anything else?

We know that for Heisenberg uncertainty principle, position and momentum are conjugates, energy and time are conjugates. Like wise what is the conjugate variable for angular momentum? Is it orientation along with something? Or anything else?

P.Q:-Another observation, the unit of Angular momentum already is kg*m^2/s, which is supposed to be the unit of uncertainty. So the conjugate variable must be unit less