Planck's incostant

Is it possible that the fundamental Planck constant has stochastic fluctuations? We entertain this possibility in this talk, motived by a possible quantum structure of spacetime. We describe in which sense Panck's constant is inconstant (a nontrivial affair for fundamental dimensionful quantities. In our scheme h¯ is time dependent, given by random fluctuations around zero, characterized by the correlation time scale ?. As examples we briefly discuss possible experimental signatures using coherent states and interferometers.