Fig. 3

Entropy or velocity, x_t = S_t, V_t, increasing with time, t = n∙Δt, at a constant rate α = Δx/Δt, plotted for finite limits κ₁ and κ₂ of the positive (\({x_t}\)) and negative (\({\bar {x}_t}\)) directions, respectively, and for the cases: (a) κ₁ < κ₂, (b) κ₁ = κ₂, and (c) κ₁ > κ₂ (anomalous anisotropy); n counts the iterations, where each iteration has a time scale of Δt. Also shown are the cases of classical physics, where the limits are taken to infinity, κ₁→∞, κ₂ →∞, the values of entropy or velocity continuously increase, unboundedly, towards infinity.