Anisotropic Self-Consuming Viscous Hydraulic Suspension Model (AS-VHSM v4.0): Inhomogeneous Dark Energy with DHOST-induced Dissipation

Abstract We present the Anisotropic Self-Consuming Viscous Hydraulic Suspension Model (AS-VHSM v4.0), an effective field theory (EFT) designed to address late-time cosmic acceleration and the Hubble tension ($H_0$). Constructed within the Degenerate Higher-Order Scalar-Tensor (DHOST) framework, the model strictly satisfies the gravitational wave speed constraint ($c_T=c$). The model reconstructs cosmological dynamics through three microscopic mechanisms: Dark Energy Origin: A Ghost Condensate mechanism stabilizes the vacuum, providing a repulsive dark energy background ($w \approx -1$). Medium-Dependent Valve: Utilizing the Chameleon screening mechanism, the fifth force is activated exclusively in low-density voids while being suppressed in high-density regions. Local Pumping: Spontaneous scalarization of black holes within the DHOST framework acts as a non-equilibrium source for the scalar field. Phenomenological analysis demonstrates that within the natural parameter space ($\beta \sim 0.5$), the model successfully: (1) passes Solar System thin-shell screening constraints; (2) quantitatively resolves the $H_0$ tension via gravitational enhancement in voids ($\mathcal{A} \approx 1.5$); and (3) alleviates the $S_8$ tension through cold dark energy clustering and screening mechanisms. 摘要 (Chinese Abstract) AS-VHSM v4.0 是一个针对晚期宇宙加速膨胀与 $H_0$ 张力的有效场论模型。该模型构建在简并高阶标量-张量 (DHOST) 理论框架内,严格满足引力波光速约束 ($c_T=c$)。模型利用 Ghost Condensate 提供暗能量背景,通过 Chameleon 机制实现介质依赖的第五力屏蔽,并结合 DHOST 黑洞自发标量化效应。唯象分析表明,该模型在通过太阳系检验的同时,能够有效解释 $H_0$ 张力并缓解 $S_8$ 张力。