A pedestrian description of possible connection between quantum information theory and relativity theory is given. I picked up topics of synchronization by entanglement and causality of completely positive maps in special relativity, while the problems of information loss in the black hole evaporation and the possible quantum state at the space-like singularities are briefly touched upon in gen...

These notes summarize basic concepts underlying numerical relativity and in particular the numerical modeling of black hole dynamics as a source of gravitational waves. Main topics are the 3+1 decomposition of general relativity, the concept of a well-posed initial value problem, the construction of initial data for general relativity, trapped surfaces and gravitational waves. Also, a brief sum...

In what follows, we shall study two signal types with two different signal velocities generating two different sets of Lorentz frames associated with two types of ``light'' cones. (A generalization to an arbitrary number of signals is straightforward.) This may seem implausible and even misleading at first, since from two different ``maximal'' signal velocities only one can be truly maximal. On...

The linguistic relativity hypothesis, the proposal that the particular language we speak influences the way we think about reality, forms one part of the broader question of how language influences thought. Despite long-standing historical interest in the hypothesis, there is relatively little empirical research directly addressing it. Existing empirical approaches are classified into three typ...

References 43 Index 45 ii Preface For me, the wonder of special relativity lies in its successful prediction of interesting and very nonintuitive phenomena from simple arguments with simple premises. These notes have three (perhaps ambitious) aims: (a) to introduce undergraduates to special relativity from its founding principle to its varied consequences, (b) to serve as a reference for those ...

A new type of scaling applicable to a variety of physical parameters in the universe is proposed here. This utilizes a relation linking the fundamental masses and fundamental constants in nature and an axiomatic approach is developed for the relations between microscopic and macroscopic found by Eddington and Dirac. In this approach, the fundamental constants are changing with time and the vari...

Our aim is to annotate some of (or excerpts of some of) the Switchboard dialogues for (co-)reference and information structure. Information structure at this stage does not include pitch accents and nothing about them is included in this document as of now. Information status at the moment is defined via three categories: old, mediated, new (see Section 5). We will annotate information status o...

In many theories of decision under risk (e.g., expected utility theory, rank dependent utility theory, and prospect theory) the utility or value of a prospect is independent of other prospects or options in the choice set. The experiments presented here show a large effect of the available options set, suggesting instead that prospects are valued relative to one another. The judged certainty eq...

In his conference given at the St Louis congress in 1904, Henri Poincaré wrote [1]: "Comme les astres proprement dits, [les atomes] s'attirent ou se repoussent et cette attraction (...) ne dépend que de la distance. La loi suivant laquelle cette force varie en fonction de la distance n'est peut-être pas la loi de Newton, mais c'est une loi analogue; au lieu de l'exposant –2, nous avons probable...

Inertial frames are frames related by a constant velocity along any axis. An object is at rest in an inertial frame when its position in space does not change with time. We consider two inertial frames: the 26-100 (S) frame in which we are at rest and the Space Shuttle frame (S ′) which moves relative to S with a velocity u along the x axis and in which the Shuttle is at rest. Newton postulated...