Covariant residual entropy

A Covariant Entropy Conjecture

We conjecture the following entropy bound to be valid in all spacetimes admitted by Einstein’s equation: Let A be the area of any twodimensional surface. Let L be a hypersurface generated by surfaceorthogonal null geodesics with non-positive expansion. Let S be the entropy on L. Then S ≤ A/4. We present evidence that the bound can be saturated, but not exceeded, in cosmological solutions and in...

On the Discrete Cumulative Residual Entropy

Residual Entropy , Conditional Entropy And

Light Sheets and the Covariant Entropy Conjecture

We examine the holography bound suggested by Bousso in his covariant entropy conjecture, and argue that it is violated because his notion of light sheet is too generous. We suggest its replacement by a weaker bound.

Finite dimensions and the covariant entropy bound

We explore the consequences of assuming that bounded space-time subsets contain a finite number of degrees of freedom. A physically natural hypothesis is that this number is additive for spatially separated subsets. We show that this assumption conflicts with the Lorentz symmetry of Minkowski space since it implies that a conserved current determines the number of degrees of freedom. However, t...