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Showing posts from January, 2026

Bulk Viscosity from Geometry, Not Only Kinetic Theory

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...

The Horizon's Poisson Ratio: Extremal by Necessity

  Yes , you can define an effective Poisson ratio for the horizon—but only in a very specific, emergent, hydrodynamic sense—and it takes its extremal value. The value you get is not arbitrary; it is forced on you by horizon incompressibility, maximal entropy, and diffusion physics. 1. What a Poisson ratio really measures The Poisson ratio (ν) is defined (in ordinary elasticity) as $$\nu = - \frac{\text{transverse strain}}{\text{longitudinal strain}}.$$ Equivalently, in terms of elastic moduli: $$\nu = \frac{3K - 2\mu}{2(3K + \mu)} \quad \text{(3D bulk)},$$ or $$\nu_{2D} = \frac{K_{2D} - \mu_{2D}}{K_{2D} + \mu_{2D}} \quad \text{(membrane)}.$$ So to even ask for a Poisson ratio, we need: a bulk (or area) modulus (K), a shear modulus (μ). This is where horizons are special. 2. Horizon fluids: what moduli exist? From the membrane paradigm, AdS/CFT, and your own derivations: Horizons have: finite shear viscosity (η), no elastic shear modulus ((μ = 0)), negative bulk ...

Spacetime Has a Clock: Horizon Thermodynamics and the de Sitter Seesaw

  De Sitter space as a thermodynamic equilibrium During both inflation and late-time cosmic acceleration, the Universe is well-approximated by a de Sitter (dS) spacetime with nearly constant curvature radius ($\ell_\Lambda $). Our present Universe may therefore be regarded as a quasi–de Sitter state , possessing a cosmic event horizon (CEH) associated with its vacuum energy density (cosmological constant). A defining feature of de Sitter space is that the cosmological horizon is not merely a causal boundary but a thermodynamic object, endowed with temperature, entropy, and energy. In this context, the total bare (rest) energy associated with the horizon, defined via the Brown–York quasilocal energy, can be written as: \begin{equation} E_0 = 2\, k_B T_{dS} S_{dS} = 2\, m_{CEH} c^2 = 2E_H  \end{equation} This relation is a horizon version of the entanglement first law , from which the Einstein equations themselves can be derived. Here: $S_{dS}$ is the de Sitter entropy (d...