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Phenomenological arrows of time can be traced to a past low-entropy state.Does this imply the universe was in an improbable state in the past? I suggesta different possibility: past low-entropy depends on the coarse-grainingimplicit in our definition of entropy. This, in turn depends on our physicalcoupling to the rest of the world. I conjecture that $any$ generic motion of asufficiently rich system satisfies the second law of thermodynamics, in eitherdirection of time, for $some$ choice of macroscopic observables. The lowentropy of the past could then be due to the way we couple to the universe (away needed for us doing what we do), hence to our natural macroscopicvariables, rather than to a strange past microstate of the world at large.

Why do we remember the past and not the future? The 'time oriented coarse graining' hypothesis