In this note we calculate the Casimir effect of free thermal gravitons in Einstein universe and discuss how it changes the entropy bound condition proposed recently by Verlinde as a higher dimensional generalization of Cardy’s formula for conformal field theories (CFT). We find that the graviton’s Casimir effect is necessary in order not to violate Verlinde’s bound for weakly coupled CFT. We al...

Kubo's formula relates bulk viscosity to the retarded Green's function of the trace of the energy-momentum tensor. Using low energy theorems of QCD for the latter we derive the formula which relates the bulk viscosity to the energy density and pressure of hot matter. We then employ the available lattice QCD data to extract the bulk viscosity as a function of temperature. We find that close to t...

Lin proposed earlier based on qualitative considerations that electronic motion was associated with negative absolute temperature. Here, a local temperature formula is proposed for electronic motion in atoms and molecules, which allows the existence of negative absolute temperature in a local sense in thermodynamic equilibrium. The proposed temperature formula is a function of total energy dens...

We derive the general formula for the capacity of a noiseless quantum channel assisted by an arbitrary amount of noisy entanglement. In the capacity formula, the role of mutual information is played by the ratio of the quantum mutual information and the von Neumann entropy of the sender’s part of the noisy entanglement. A consequence of our results is that bound entangled states cannot increase...

In the original formulation of vibration-transit (V-T) theory for monatomic liquid dynamics, the transit contribution to entropy was taken to be a universal constant, calibrated to the constant-volume entropy of melting. This model suffers two deficiencies: (a) it does not account for experimental entropy differences of +/-2% among elemental liquids and (b) it implies a value of zero for the tr...

Empirical studies over the past two decades have provided support for the hypothesis that schizophrenia is characterized by altered connectivity patterns in functional brain networks. These alterations have been proposed as genetically mediated diagnostic biomarkers and are thought to underlie altered cognitive functions such as working memory. However, the nature of this dysconnectivity remain...