As a basic counterexample, just consider a fully empty infinite universe. It is in equilibrium (and does not violate any known laws of physics)
Your premise violates quantum mechanic, actually. Such an universe’s amplitude distribution is delta function (fully empty with probability 1, any other state with probability 0), which does not have second derivative so its future evolution is undefined.
Your premise violates quantum mechanic, actually. Such an universe’s amplitude distribution is delta function (fully empty with probability 1, any other state with probability 0), which does not have second derivative so its future evolution is undefined.
Ah, oops.