I provide a general proof of the conjecture that one can attribute an entropy to the area of any horizon. This is done by constructing a canonical ensemble of a subclass of spacetimes with a fixed value for the temperature T = β and evaluating the exact partition function Z(β). For spherically symmetric spacetimes with a horizon at r = a, the partition function has the generic form Z ∝ exp[S−βE...

Some recent studies on the Permanent Incomes Hypothesis (PIH) seem to view permanent income as some sort of a moving average of measured inc0me.l It is our contention that this approach is essentially misleading. There are at least three reasons for this contention. First, there appears to be some misunderstanding about the meaning of "horizon" on the part of some authors using the moving avera...

sustainable exploitation of land resources is directly affected by considering soil quality which finally will also conclude environmental protection. therefore, assessing different soil quality aspects which are sensitive to various land management practices seems too important. in this study, some selected soil quality indicators have been compared in five land use systems including untouched...

In this paper we derive stabilization conditions for the class of piecewise affine (PWA) systems using the linear matrix inequality (LMI) framework. We take into account the piecewise structure of the system and therefore the matrix inequalities that we solve are less conservative. Using the upper bound of the infinite-horizon quadratic cost as a terminal cost and constructing also a convex ter...

Applying the first law of thermodynamics to the apparent horizon of a FriedmannRobertson-Walker universe and assuming the geometric entropy given by a quarter of the apparent horizon area, we derive the Friedmann equations describing the dynamics of the universe with any spatial curvature. Using entropy formulae for the static spherically symmetric black hole horizons in Gauss-Bonnet gravity an...

In this paper, the finite horizon H∞ control problem is solved for a class of linear quantum systems using a dynamic game approach for the case of sampled-data measurements. The methodology adopted involves a certain equivalence between the quantum problem and an auxiliary classical stochastic problem. Then, by solving the finite horizon H∞ control problem for the equivalent stochastic problem ...

In the present paper, we provide a thermodynamical interpretation for the holographic dark energy model in a non-flat universe. For this case, the characteristic length is no more the radius of the event horizon (RE) but the event horizon radius as measured from the sphere of the horizon (L). Furthermore, when interaction between the dark components of the holographic dark energy model in the n...

The purpose of this paper is to relax the terminal conditions typically used to ensure stability in model predictive control, thereby enlarging the domain of attraction for a given prediction horizon. Using some recent results, we present novel conditions that employ, as the terminal cost, the finite-horizon cost resulting from a nonlinear controller u = −sat(Kx) and, as the terminal constraint...

In this report the idea of natural landmark localisation is studied in some detail. In particular localising using two robots using triangulation techniques on detected landmarks on the horizon is examined. Furthermore profiling techniques based on comparing the current horizon to a predetermined 360-degree array representing the full horizon from a central point is observed. Whilst triangulati...

Modeling the event horizon of a black hole by a fuzzy sphere leads us to modify some suggestions in the literature concerning black hole mass spectra. We derive a formula for the mass spectrum of quantum black holes in terms of four integers which define the area, angular momentum, electric and magnetic charge of the black hole. Although the event horizon becomes a commutative sphere in the cla...