Title of dissertation: VACUUM ENTANGLEMENT AND BLACK HOLE ENTROPY OF GAUGE FIELDS William Donnelly, Doctor of Philosophy, 2012 Dissertation directed by: Professor Theodore Jacobson Department of Physics Black holes in general relativity carry an entropy whose value is given by the Bekenstein-Hawking formula, but whose statistical origin remains obscure. Such horizons also possess an entanglemen...

In this article we consider an N-brane description of an (N+3)-dimensional black hole horizon. First of all, we start by reviewing a previous work where a string theory is used as describing the dynamics of the event horizon of a four dimensional black hole. Then we consider a particle model defined on one dimensional Euclidean line in a three dimensional black hole as a target spacetime metric...

We investigate algebraic Zd-actions of entropy rank one, namely those for which each element has finite entropy. Such actions can be completely described in terms of diagonal actions on products of local fields using standard adelic machinery. This leads to numerous alternative characterizations of entropy rank one, both geometric and algebraic. We then compute the measure entropy of a class of...

We investigate algebraic Z-actions of entropy rank one, namely those for which each element has finite entropy. Such actions can be completely described in terms of diagonal actions on products of local fields using standard adelic machinery. This leads to numerous alternative characterizations of entropy rank one, both geometric and algebraic. We then compute the measure entropy of a class of ...

We calculate the black hole entropy in Loop Quantum Gravity as a function of the horizon area and provide the exact formula for the leading and sub-leading terms. By comparison with the Bekenstein– Hawking formula we uniquely fix the value of the ’quantum of area’ in the theory. The Bekenstein–Hawking formula gives the leading term in the entropy of the black hole in the form S = 1 4 A l P (1) ...

The height of an algebraic number in the sense of Diophantine geometry is a measure of arithmetic complexity. There is a well-known relationship between the entropy of automorphisms of solenoids and classical heights. We consider an elliptic analogue of this relationship, which involves two novel features. Firstly, the introduction of a notion of entropy for sequences of transformations. Second...

The height of an algebraic number in the sense of Diophantine geometry is known to be related to the entropy of an automorphism of a solenoid associated to the number. An el-liptic analogue is considered, which necessitates introducing a notion of entropy for sequences of transformations. A sequence of transformations are defined for which there is a canonical arithmetically defined quotient wh...

In a two-dimensional conformal field theory with moving mirror, known as mirror model, the time evolution of entanglement entropy shows Page like curve. This implies that model is useful to understand island formula. this paper, we study subregion CV complexity in for better understanding formula complexity. contrast entropy, peculiar behaviour. We discuss behaviour more detail.

Binding free energy calculations that make use of alchemical pathways are becoming increasingly feasible thanks to advances in hardware and algorithms. Although relative binding free energy (RBFE) calculations are starting to find widespread use, absolute binding free energy (ABFE) calculations are still being explored mainly in academic settings due to the high computational requirements and s...

We study the topological entropy of a particular class of dynamical systems: cellular automata. The topological entropy of a dynamical system (X; F) is a measure of the complexity of the dynamics of F over the space X . The problem of computing (or even approximating) the topological entropy of a given cellular automata is algorithmically undecidable (Ergodic Theory Dynamical Systems 12 (1992) ...