This paper explores non-equilibrium thermodynamics near black brane horizons and its connection to holography. Using the AdS/CFT correspondence, small perturbations of a black brane are interpreted as small deviations from thermodynamic equilibrium in a dual field theory. Quasinormal modes, which are gauge-invariant solutions to linearized equations of motion, are used to analyze these perturbations. The paper calculates the Brown and York boundary stress tensor near the horizon and constructs a conserved stress tensor that represents dissipative parts of the stress tensor in the dual theory. This allows for the identification of sound modes in the membrane paradigm as gravitational counterparts. The paper reviews quasinormal modes on near-horizon geometries of black p-branes and presents new results for fluctuations that compose these gauge-invariant quantities. These fluctuations are necessary for analyzing the boundary stress tensor near the horizon. The paper also discusses the conservation law for the boundary stress tensor and its relation to hydrodynamics near the stretched horizon. For the shear channel, the paper finds that the shear viscosity is given by $ \gamma_\eta = \frac{1}{4\pi T} $, which is a familiar result for Dp-brane backgrounds. For the sound channel, the paper calculates the sound velocity as $ v_s^2 = \frac{5-p}{9-p} $. The paper also discusses the differences between D3-branes and general Dp-branes, noting that the degrees of freedom of the system may be reduced when the gauge-invariant fluctuation including the dilaton is set to zero. The paper concludes that the results obtained from the AdS/CFT correspondence provide a consistent framework for understanding non-equilibrium thermodynamics near black brane horizons and its connection to holography. The results also highlight the importance of boundary conditions at infinity and the role of the dilaton in determining the behavior of the system.This paper explores non-equilibrium thermodynamics near black brane horizons and its connection to holography. Using the AdS/CFT correspondence, small perturbations of a black brane are interpreted as small deviations from thermodynamic equilibrium in a dual field theory. Quasinormal modes, which are gauge-invariant solutions to linearized equations of motion, are used to analyze these perturbations. The paper calculates the Brown and York boundary stress tensor near the horizon and constructs a conserved stress tensor that represents dissipative parts of the stress tensor in the dual theory. This allows for the identification of sound modes in the membrane paradigm as gravitational counterparts. The paper reviews quasinormal modes on near-horizon geometries of black p-branes and presents new results for fluctuations that compose these gauge-invariant quantities. These fluctuations are necessary for analyzing the boundary stress tensor near the horizon. The paper also discusses the conservation law for the boundary stress tensor and its relation to hydrodynamics near the stretched horizon. For the shear channel, the paper finds that the shear viscosity is given by $ \gamma_\eta = \frac{1}{4\pi T} $, which is a familiar result for Dp-brane backgrounds. For the sound channel, the paper calculates the sound velocity as $ v_s^2 = \frac{5-p}{9-p} $. The paper also discusses the differences between D3-branes and general Dp-branes, noting that the degrees of freedom of the system may be reduced when the gauge-invariant fluctuation including the dilaton is set to zero. The paper concludes that the results obtained from the AdS/CFT correspondence provide a consistent framework for understanding non-equilibrium thermodynamics near black brane horizons and its connection to holography. The results also highlight the importance of boundary conditions at infinity and the role of the dilaton in determining the behavior of the system.