The paper , Origin of bulk viscosity in cosmology and its thermodynamic implications , is interesting. The paper establishes four facts: $$p_{\text{vis}}=-3\zeta H, \qquad \dot S_h>0, \qquad \dot S_m<0, \qquad T_m\neq T_h$$ and hence $$\boxed{\dot S_{\text{tot}}>0 ;\text{always}}$$ These are consequences of: Hubble expansion producing velocity gradients, The apparent horizon behaving as a thermodynamic boundary, The fluid inside the horizon being an open system. A complete, self-contained derivation synthesising the kinetic, fluid dynamics, EFT, and thermodynamic/irreversibility perspectives on bulk viscosity of the vacuum in an expanding FLRW universe. 1. Kinetic Derivation: Momentum Flux Across Layers Step 1: Setup As per the paper, consider three layers of "vacuum quanta" separated by mean free path $\lambda_m$: $S_1$ (below), $S_2$ (observer), $S_3$ (above). Fluid velocity relative to the comoving observer: $$v(d) = H d$$ where $H...
An easy-to-read journey spanning 100+ years of geometric algebra, quantum mechanics and relativity, right up to some of the biggest questions (and solutions) of present-day physics. Many giant shoulders stood upon.