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We discuss the thermodynamic properties of the Friedmann-Robertson-Walkeruniverse with dark energy fluids labelled by $\omega=p/\rho<-1/3$. Using theintegrability condition, we show that the phantom phase of $w<-1$ can still bethermodynamically allowed even when the temperature takes on negative valuesbecause in that case, there exists at least a condition of keeping physicalvalues for $p$ and $\rho$

On phantom thermodynamics with negative temperature