Generation of Closed Timelike Curves with Rotating Superconductors

The spacetime metric around a rotating SuperConductive Ring (SCR) is deduced from the gravitomagnetic London moment in rotating superconductors. It is shown that theoretically it is possible to generate Closed Timelike Curves (CTC) with rotating SCRs. The possibility to use these CTC's to travel in time as initially idealized by G\"{o}del is investigated. It is shown however, that from a technology and experimental point of view these ideas are impossible to implement in the present context.Comment: 9 pages. Submitted to Classical and Quantum Gravit

Implementing and solving games with best payoff method

It is our intention, in this chapter, to propose and discuss the Best Payoff Method, a new method to resolve games. This is made exemplifying the application of the method to a pay raise voting game, that is a perfect information sequential game, without having yet formulated it, and then deploying the algorithm for its implementation. In the next examples we consider an imperfect information game and a game with random characteristics. We finish confronting the equilibrium concepts mentioned in this work: Subgame Perfect Nash Equilibrium, Nash Equilibrium, and Best Payoff Equilibrium through the formulation of some conjectures, and with a short conclusions section.info:eu-repo/semantics/acceptedVersio

Convex sets strict separation in the minimax theorem

The convex sets strict separation is very useful to obtain mathematical optimization results. The minimax theorem, a key result in Game Theory is an example. It will be outlined in this work.info:eu-repo/semantics/publishedVersio

Why a new representation model for games: the code form

The aim of this work is to present a representation model of games which will establish the characteristics of each game with complete rigour. This model is presented emphasizing applications of theory, as much or more than the theory itself due to thinking, on the one hand, that applications help understand theory, and on the other, that applications illustrate the process of model building. Thus, this model is intended to illustrate the full rigour games both in terms of information, and in terms of real time structure of the gamesinfo:eu-repo/semantics/publishedVersio

Deformation of quantum mechanics in fractional-dimensional space

A new kind of deformed calculus (the D-deformed calculus) that takes place in fractional-dimensional spaces is presented. The D-deformed calculus is shown to be an appropriate tool for treating fractional-dimensional systems in a simple way and quite analogous to their corresponding one-dimensional partners. Two simple systems, the free particle and the harmonic oscillator in fractional- dimensional spaces are reconsidered into the framework of the D-deformed quantum mechanics. Confined states in a D-deformed quantum well are studied. D-deformed coherent states are also found.Comment: 12 pages, some misprints have been corrected, two figures are adde

Let the games begin and go on

Real life is a bigger game in which what a player does early on can affect what others choose to do later on. In particular we can strive to explain how cooperative behaviour can be established as a result of rational behaviour. When engaged in a repeated situation, players must consider not only their short-term gains but also their long-term payoffs. The general idea of repeated games is that players may be able to deter another player from exploiting his short-term advantage by threatening a punishment that reduces his long-term payoff. The aim of the paper that supports this abstract is to present and discuss dynamic game theory. There are three basic kinds of reasons, which are not mutually exclusive, to study what happens in repeated games. First, it provides a pleasant and a very interesting theory and it has the advantage of making us become more humble in our predictions. Second, many of the most interesting economic interactions repeated often can incorporate phenomena which we believe are important but which are not captured when we restrict our attention to static games. Finally, economics, and equilibrium based theories more generally, do best when analysing routinized interactions.info:eu-repo/semantics/acceptedVersio

Conical refraction in generalized biaxial media: A geometric algebra approach

It is well-know that conical refraction occurs for electric anisotropic biaxial crystals when the wave vector has the direction of the medium optic axes. In this paper, we show that conical refraction occurs in an analogous away for a more general type of biaxial media that have simultaneously electric and magnetic anisotropies. Furthermore, the new coordinate-free approach based on geometric algebra, developed by the authors in previous papers to address anisotropy, is shown to shed new light on this classic topic of optics that is conical refraction.info:eu-repo/semantics/acceptedVersio