I know that entropy depends on the total energy of a system. In the energy-time uncertainty, howeve, energy can be uncertain for an amount of time which is related to the uncertainty of energy by having their product bigger than or equal to the Plank constant divided be 2, i.e. the famous energy-time uncertainty. Now, is this time related in any way to the relaxation time that the system needs to reach equilibrium so that its energy state variable is well defined? Those two concepts seem related, but I'm not sure if I'm right.
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