The idea that bulk viscosity could be an alternative to dark energy for a cosmological effective theory has been around for a while. For example, Gagnon , 2011 Dark goo : bulk viscosity as an alternative to dark energy, or Hu, 2024 Viscous universe with cosmological constant , or Khan, 2025 Spatial Phonons : A Phenomenological Viscous Dark Energy Model for DESI . Now, Paul , 2025 Origin of bulk viscosity in cosmology and its thermodynamic implications , takes a kinetic/thermodynamic slant. Paul found: $$p_{\text{vis}}=-3\zeta H,\qquad \ S_h>0,\qquad \ S_m<0,\qquad T_m\neq T_h$$ lead to $$S_{\text{tot}} = S_h + S_m >0$$ for an expanding FLRW universe with the apparent horizon treated as a thermodynamic boundary. What entropy? $S_{BH}$ is the Bekenstein–Hawking entropy. It does not increase . $S_m$ is the coarse-grained, hydrodynamic entrop y of the vacuum fluid, it is not a microscopic von Ne...
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.