UNIVERSAL ENTROPY BOUND AND DISCRETE SPACETIME

Universal Entropy Bound for Rotating Systems

We conjecture a universal upper bound to the entropy of a rotating system. The entropy bound follows from application of the generalized second law of thermodynamics to an idealized gedanken experiment in which an entropybearing rotating system falls into a black hole. This bound is stronger than the Bekenstein entropy bound for non-rotating systems. One of the most intriguing features of both ...

Evidence for an entropy bound from fundamentally discrete gravity

The various entropy bounds that exist in the literature suggest that spacetime is fundamentally discrete, and hint at an underlying relationship between geometry and “information”. The foundation of this relationship is yet to be uncovered, but should manifest itself in a theory of quantum gravity. We present a measure for the maximal entropy of spherically symmetric spacelike regions within th...

Discrete spacetime and its applications

A discrete spacetime is a random partially ordered set. It is obtained by sampling n points from a compact domain in a spacetime manifold w.r.t. the volume form. The partial order is given by restricting the causal structure on the domain to the sampled points. These objects were introduced by physicists in an attempt to reconcile gravity with quantum mechanics, [39, 45, 18]. They received very...

On the Discrete Cumulative Residual Entropy

Quantum structure of spacetime and blackhole entropy

The gap between a microscopic theory for quantum spacetime and the semiclassical physics of blackholes is bridged by treating the blackhole spacetimes as highly excited states of a class of nonlocal field theories. All the blackhole thermodynamics is shown to arise from asymptotic form of the dispersion relation satisfied by the elementary excitations of these field theories. These models invol...