Noncommutativity due to spin

Using the Berezin-Marinov pseudoclassical formulation of the spin particle we propose a classical model of spin noncommutativity. In the nonrelativistic case, the Poisson brackets between the coordinates are proportional to the spin angular momentum. The quantization of the model leads to the noncommutativity with mixed spatial and spin degrees of freedom. A modified Pauli equation, describing a spin half particle in an external electromagnetic field is obtained. We show that nonlocality caused by the spin noncommutativity depends on the spin of the particle; for spin zero, nonlocality does not appear, for spin half, Delta x Delta y >= theta(2)/2, etc. In the relativistic case the noncommutative Dirac equation was derived. For that we introduce a new star product. The advantage of our model is that in spite of the presence of noncommutativity and nonlocality, it is Lorentz invariant. Also, in the quasiclassical approximation it gives noncommutativity with a nilpotent parameter.

Testing for large extra dimensions with neutrino oscillations

We consider a model where sterile neutrinos can propagate in a large compactified extra dimension giving rise to Kaluza-Klein (KK) modes and the standard model left-handed neutrinos are confined to a 4-dimensional spacetime brane. The KK modes mix with the standard neutrinos modifying their oscillation pattern. We examine former and current experiments such as CHOOZ, KamLAND, and MINOS to estimate the impact of the possible presence of such KK modes on the determination of the neutrino oscillation parameters and simultaneously obtain limits on the size of the largest extra dimension. We found that the presence of the KK modes does not essentially improve the quality of the fit compared to the case of the standard oscillation. By combining the results from CHOOZ, KamLAND, and MINOS, in the limit of a vanishing lightest neutrino mass, we obtain the stronger bound on the size of the extra dimension as similar to 1.0(0.6) mu m at 99% C.L. for normal (inverted) mass hierarchy. If the lightest neutrino mass turns out to be larger, 0.2 eV, for example, we obtain the bound similar to 0.1 mu m. We also discuss the expected sensitivities on the size of the extra dimension for future experiments such as Double CHOOZ, T2K, and NO nu A.

Graviton emission in the bulk by a simply rotating black hole

In this work, we study the emission of tensor-type gravitational degrees of freedom from a higher-dimensional, simply rotating black hole in the bulk. The decoupled radial part of the corresponding field equation is first solved analytically in the limit of low-energy emitted particles and low-angular momentum of the black hole in order to derive the absorption probability. Both the angular and radial equations are then solved numerically, and the comparison of the analytical and numerical results shows a very good agreement in the low and intermediate energy regimes. By using our exact, numerical results we compute the energy and angular-momentum emission rates and their dependence on the spacetime parameters such as the number of additional spacelike dimensions and the angular momentum of the black hole. Particular care is given to the convergence of our results in terms of the number of modes taken into account in the calculation and the multiplicity of graviton tensor modes that correspond to the same angular-momentum numbers.

Dynamical generation of mass in the D = (2+1) Wess-Zumino model

In this work we study the dynamical generation of mass in the massless N = 1 Wess-Zumino model in a three-dimensional spacetime. Using the tadpole method to compute the effective potential, we observe that supersymmetry is dynamically broken together with the discrete symmetry A(x) -> A(x). We show that this model, different from nonsupersymmetric scalar models, exhibits a consistent perturbative dynamical generation of mass after two-loop corrections to the effective potential.

Gravity-Induced Vacuum Dominance

has been widely believed that, except in very extreme situations, the influence of gravity on quantum fields should amount to just small, subdominant contributions. This view seemed to be endorsed by the seminal results obtained over the last decades in the context of renormalization of quantum fields in curved spacetimes. Here, however, we argue that this belief is false by showing that there exist well-behaved spacetime evolutions where the vacuum energy density of free quantum fields is forced, by the very same background spacetime, to become dominant over any classical energy-density component. By estimating the time scale for the vacuum energy density to become dominant, and therefore for back-reaction on the background spacetime to become important, we argue that this (infrared) vacuum dominance may bear unexpected astrophysical and cosmological implications.

Currículo-fabulação : a curiosa metamorfose de Francis Tracart

Tem por proposta subversar a escrita linear acadêmica ao (re)fazê-la, vislumbrando as potências e transgressões da literatura menor em seus agenciamentos coletivos, políticos, em seus gaguejos e balbucios, em suas possibilidades de subversão. Fabular a escrita acadêmica e o currículo como ato político e coletivo, como reinvenção da própria língua. Trata da metamorfose de Francis Tracart em sua busca por traçar conceitos,conversações, percepções e afecções. A metodologia se dá por intermédio da pesquisa com os cotidianos e com a cartografia, buscando atentar-se a vozes, entrelinhas, efeitos, tensões, teórico-práticas e saberesfazeres dos sujeitos praticantes dos cotidianos da escola em que se realiza a pesquisa em pé de igualdade com os autores dos livros que permearam o processo de realização do trabalho de pesquisa. Os sujeitos cotidianos, tais como bibliotecária, professoras e alunos de 5º e 6º Ano, orientador, professores e alunos de Pós- Graduação, que participaram do processo de pesquisa, bem como os autores dos livros lidos, se fazem presentes nas vozes, nas falas, nos afectos e nas conversações com leituras, literaturas, currículos, cotidianos, redes de afecções, elementos éticos, estéticos e políticos, espaçostempos, com linhas de fuga, linhas molares e linhas moleculares, com os presentes politemporais,devires, conceitos, metamorfoses, com possíveis e improváveis leituras, fugas e reinvenções do leitor.

Cartografando movimentos curriculares produzidos nas redes de conversações nos encontrosformações do PROEJA/IFES/ES

Problematiza a constituição do currículo (e da “formação docente” no campo curricular), no cotidiano escolar, na dimensão das conversações. Objetiva acompanhar os movimentos curriculares concernentes ao Proeja entre formas e forças complexas no cotidiano do Ifes – campus Venda Nova do Imigrante (VNI). Compõe com as linhas de pensamentos principalmente de Alves (2008, 2010, 2012); Carvalho (2004, 2008a, 2008b, 2009, 2012); Deleuze (1988, 2002, 2010); Deleuze e Guattari (1995); Ferraço (2007, 2008a, 2008b); Garcia (2011); Guattari (1987, 2004, 2012); Kastrup (2009, 2013); Lopes e Macedo (2011); Lopes (2010, 2011); Oliveira (2005, 2009, 2012); Paiva (2004, 2009); Rolnik (1989); e Spinoza (2013), entremeando os conceitos de movimentos e afetos no campo do currículo em redes na relação híbrida com os encontros-formações docente do/no Proeja. Adota a (não) metodologia cartográfica ao acompanhar movimentos curriculares (des)(re)territorializantes nas redes de conversações, especialmente nos encontrosformações: “Rodas de conversas com professores e demais servidores do Proeja”. Utiliza como principais instrumentos metodológicos a observação participante, a gravação das vozes e o registro em diário de campo. Contribui para outros movimentos de pesquisa ao capturar produzir e analisar dados em que se percebe que: ainda que tenha ocorrido um planejamento coletivo, outras temáticas surgiram nos encontros formações (que não se pretendiam engessados e não objetivavam a paralisação dos fluxos que pedem passagem), e tais assuntos puderam ser usados como disparadores para criação de outros movimentos curriculares; as concepções dos professores sobre a “dificuldade/facilidade” em ministrar aulas para o Proeja e os lugares estabelecidos entre estudantes e docentes no processo ensino-aprendizagem não estão relacionados diretamente, em relação de causa e efeito, à disciplina/área de conhecimento específica que ministram, mas aos agenciamentos, aos ligamentos e às rupturas produzidas nas relações com essas redes de saberes fazeres poderes que envolvem múltiplos agentes: docentes, outros servidores, alunos, experiências e encontros múltiplos dentro fora no espaço tempo do Ifes; uma tríade-refrão coopera para a criação de uma fôrma triangular que enfatiza a noção de um padrão em um processo molar enraizado nas árvores do conhecimento: perfil, seleção e nivelamento, contudo, algumas linhas de fuga dissonantes são criadas por entre as fissuras dos pretensos tons harmônicos; as frases “os professores do IF não estão preparados para ministrar aulas para o Proeja” ou “não há formação/qualificação para os docentes se relacionarem com o Proeja” são utilizadas, em alguns discursos, como escudos-argumentos para a opção-política de não oferta de vagas para a modalidade EJA em composição com fios que afirmam tal especificidade da educação básica, dentro da rede federal, como um “favor social”; processos que envolvem a (des)organização da matriz curricular são considerados por alguns participantes como início, “produto” e objetivo das conversas curriculares e provocam tensões que (i)mobilizam, (não) movimentam entre os afetos dos corpos, podendo levar à (não) ação coletiva; a noção de “mercado de trabalho” ainda impera nos discursos, ciclicamente, enquanto início fim das problematizações do currículo do Ensino Médio e da EJA; a expressão “integração curricular” é constantemente usada nos discursos que circulam o campus, no entanto, os sentidos produzidos, as concepções e as teorias curriculares que embasam a noção de “integração” no currículo são bem diversos; não há totalidades nos discursos, não há homogeneização, não foi efetivada nenhuma coesão/única voz representante (e esse também não era o objetivo desta pesquisa); ainda que o tema da roda se propusesse às conversas curriculares do/no Proeja, nesses encontros, os participantes manifestaram a necessidade de intensificar os movimentos produzidos nas rodas visando à discussão dos currículos textos de todos os cursos e modalidades ofertados pelos campus VNI e na intensificação de espaços para trocas de experiências curriculares cotidianas; na potencialização das diferenças como possibilidades de inventividade nos encontros-formações docente e nas danças curriculares que envolvem diversas relações de aprendizagem no Ifes, algumas experimentações foram produzidas, entre afetos, criando composições(des)(re)territorializantes e ressonando com movimentos que não se restringiram às rodas de conversas, contudo, enredaram-se em fios de outros espaços tempos do campus em tentativas de propagações de currículos multidão.

Minimal anomaly-free chiral fermion sets and gauce coupling unification

We look for minimal chiral sets of fermions beyond the standard model that are anomaly free and, simultaneously, vectorlike particles with respect to color SU(3) and electromagnetic U(1). We then study whether the addition of such particles to the standard model particle content allows for the unification of gauge couplings at a high energy scale, above 5.0 x 10(15) GeV so as to be safely consistent with proton decay bounds. The possibility to have unification at the string scale is also considered. Inspired in grand unified theories, we also search for minimal chiral fermion sets that belong to SU(5) multiplets, restricted to representations up to dimension 50. It is shown that, in various cases, it is possible to achieve gauge unification provided that some of the extra fermions decouple at relatively high intermediate scales.

Efficient Legendre spectral tau algorithm for solving two-sided space-time Caputo fractional advection-dispersion equation

In this paper we present the operational matrices of the left Caputo fractional derivative, right Caputo fractional derivative and Riemann–Liouville fractional integral for shifted Legendre polynomials. We develop an accurate numerical algorithm to solve the two-sided space–time fractional advection–dispersion equation (FADE) based on a spectral shifted Legendre tau (SLT) method in combination with the derived shifted Legendre operational matrices. The fractional derivatives are described in the Caputo sense. We propose a spectral SLT method, both in temporal and spatial discretizations for the two-sided space–time FADE. This technique reduces the two-sided space–time FADE to a system of algebraic equations that simplifies the problem. Numerical results carried out to confirm the spectral accuracy and efficiency of the proposed algorithm. By selecting relatively few Legendre polynomial degrees, we are able to get very accurate approximations, demonstrating the utility of the new approach over other numerical methods.

Cylindrically symmetric models of gravitational collapse to black holes: a short review

We survey results about exact cylindrically symmetric models of gravitational collapse in General Relativity. We focus on models which result from the matching of two spacetimes having collapsing interiors which develop trapped surfaces and vacuum exteriors containing gravitational waves. We collect some theorems from the literature which help to decide a priori about eventual spacetime matchings. We revise, in more detail, some toy models which include some of the main mathematical and physical issues that arise in this context, and compute the gravitational energy flux through the matching boundary of a particular collapsing region. Along the way, we point out several interesting open problems.

Semigroups of matrices of intermediate growth

Finitely generated linear semigroups over a field K that have intermediate growth are considered. New classes of such semigroups are found and a conjecture on the equivalence of the subexponential growth of a finitely generated linear semigroup S and the nonexistence of free noncommutative subsemigroups in S, or equivalently the existence of a nontrivial identity satisfied in S, is stated. This ‘growth alternative’ conjecture is proved for linear semigroups of degree 2, 3 or 4. Certain results supporting the general conjecture are obtained. As the main tool, a new combinatorial property of groups is introduced and studied.

Encryption methods using formal power series rings

Recently there has been a great deal of work on noncommutative algebraic cryptography. This involves the use of noncommutative algebraic objects as the platforms for encryption systems. Most of this work, such as the Anshel-Anshel-Goldfeld scheme, the Ko-Lee scheme and the Baumslag-Fine-Xu Modular group scheme use nonabelian groups as the basic algebraic object. Some of these encryption methods have been successful and some have been broken. It has been suggested that at this point further pure group theoretic research, with an eye towards cryptographic applications, is necessary.In the present study we attempt to extend the class of noncommutative algebraic objects to be used in cryptography. In particular we explore several different methods to use a formal power series ring R && x1; :::; xn && in noncommuting variables x1; :::; xn as a base to develop cryptosystems. Although R can be any ring we have in mind formal power series rings over the rationals Q. We use in particular a result of Magnus that a finitely generated free group F has a faithful representation in a quotient of the formal power series ring in noncommuting variables.

The metaphysics of quantum gravity : a causal approach

The dissertation investigates some relevant metaphysical issues arising in the context of spacetime theories. In particular, the inquiry focuses on general relativity and canonical quantum gravity. A formal definition of spacetime theory is proposed and, against this framework, an analysis of the notions of general covariance, symmetry and background independence is performed. It is argued that many conceptual issues in general relativity and canonical quantum gravity derive from putting excessive emphasis on general covariance as an ontological prin-ciple. An original metaphysical position grounded in scientific essential- ism and causal realism (weak essentialism) is developed and defended. It is argued that, in the context of general relativity, weak essentialism supports spacetime substantivalism. It is also shown that weak essentialism escapes arguments from metaphysical underdetermination by positing a particular kind of causation, dubbed geometric. The proposed interpretive framework is then applied to Bohmian mechanics, pointing out that weak essentialism nicely fits into this theory. In the end, a possible Bohmian implementation of loop quantum gravity is considered, and such a Bohmian approach is interpreted in a geometric causal fashion. Under this interpretation, Bohmian loop quantum gravity straightforwardly commits us to an ontology of elementary extensions of space whose evolution is described by a non-local law. The causal mechanism underlying this evolution clarifies many conceptual issues related to the emergence of classical spacetime from the quantum regime. Although there is as yet no fully worked out physical theory of quantum gravity, it is argued that the proposed approach sets up a standard that proposals for a serious ontology in this field should meet.

On fast-decodable space-time block codes

We focus on full-rate, fast-decodable space–time block codes (STBCs) for 2 x 2 and 4 x 2 multiple-input multiple-output (MIMO) transmission. We first derive conditions and design criteria for reduced-complexity maximum-likelihood (ML) decodable 2 x 2 STBCs, and we apply them to two families of codes that were recently discovered. Next, we derive a novel reduced-complexity 4 x 2 STBC, and show that it outperforms all previously known codes with certain constellations.

Gauge transformations in the Lagrangian and Hamilton formalisms of generally covariant theories

We study spacetime diffeomorphisms in the Hamiltonian and Lagrangian formalisms of generally covariant systems. We show that the gauge group for such a system is characterized by having generators which are projectable under the Legendre map. The gauge group is found to be much larger than the original group of spacetime diffeomorphisms, since its generators must depend on the lapse function and shift vector of the spacetime metric in a given coordinate patch. Our results are generalizations of earlier results by Salisbury and Sundermeyer. They arise in a natural way from using the requirement of equivalence between Lagrangian and Hamiltonian formulations of the system, and they are new in that the symmetries are realized on the full set of phase space variables. The generators are displayed explicitly and are applied to the relativistic string and to general relativity.