Can a learned score see the margin of the arrow of time?
An observer who sees a Hamiltonian ensemble through a Gaussian window of width σ(t) = σ₀e^{rt} finds that the coarse-grained entropy grows if and only if r exceeds a critical rate R of the state, and R stays below the largest strain rate κ of the flow by a margin proportional to σ. The same forward process, a flow foll...