We show that the canonical purification of an evaporating black hole after Page time consists a short, connected, Lorentzian wormhole between two asymptotic boundaries, one which is unitarily related to radiation. This provides quantitative and general realization predictions $\mathrm{ER}=\mathrm{EPR}$ in time; this further gives standard $\mathrm{AdS}/\mathrm{CFT}$ calculation entropy radiatio...

A mathematical model which can be predicted the flow and heat transfer characteristics for evaporating thin film region in micro channel is presented and an analytical investigation is performed by using the presented model. For the formulation of modeling, the flow of the vapor phase and the shear stress at the liquid-vapor interface are considered. In addition, the disjoining pressure and the...