Static Observers in Curved Spaces and Non-inertial Frames in Minkowski Spacetime

Static observers in curved spacetimes may interpret their proper acceleration as the opposite of a local gravitational field (in the Newtonian sense). Based on this interpretation and motivated by the equivalence principle, we are led to investigate congruences of timelike curves in Minkowski spacetime whose acceleration field coincides with the acceleration field of static observers of curved spaces. The congruences give rise to non-inertial frames that are examined. Specifically we find, based on the locality principle, the embedding of simultaneity hypersurfaces adapted to the non-inertial frame in an explicit form for arbitrary acceleration fields. We also determine, from the Einstein equations, a covariant field equation that regulates the behavior of the proper acceleration of static observers in curved spacetimes. It corresponds to an exact relativistic version of the Newtonian gravitational field equation. In the specific case in which the level surfaces of the norm of the acceleration field of the static observers are maximally symmetric two-dimensional spaces, the energy-momentum tensor of the source is analyzed.Comment: 28 pages, 4 figures

TOMATE PARA INDÚSTRIA ESTRATÉGIAS SUSTENTÁVEIS NO COMBATE A TUTA ABSOLUTA

O objetivo deste estudo foi desenvolver um sistema de apoio à decisão com base no acompanhamento técnico dos inimigos da cultura e na construção de mapas de risco para as principais zonas de produção. Outros objetivos foram o estabelecimento de uma metodologia de observação e avaliação, nomeadamente métodos expeditos de estimativa do risco, estabelecimento de regras de tomada de decisão e o estudo da bioecologia da espécie em tomate para indústria no Ribatejo. Os resultados deste projeto são uma contribuição para o uso sustentável dos produtos fitofarmacêuticos e, consequentemente, para uma maior ecoeficiência, conservação da biodiversidade e garantia de qualidade e segurança alimentar do produto final

Influência das frações granulométricas sobre a fixação de zinco pelo solo

This paper was carried out in order to verify the effects of the clay, silt and sand soil fractions on zinc fixation by soils. Ten grams each of 30 samples of different soils were placed in a 250 ml Erlenmeyer flask and 4 ml of solution containing 100 mg of inert Zn and 0.70 mc of radioactive 65Zn were added. After 20 days of incubation, Zn was extracted with 20 ml of 0.01 M EDTA solution made 1 M with respect to (NH4)2CO3. An aliquot of 5 ml of the extract was transferred to a test-tube and radioactivity of 65Zn in it was measured with a scintillation counter. Quantity of fixed Zn by the different soils was calculated from the data obtained and counting made on the standard solution. It was concluded that clay and silt took part of the Zn fixation by the soil, but not the sand.Ao realizarem este trabalho os autores tiveram em mente verificar os efeitos das frações granulométricas do solo sobre a fixação de Zn pelo mesmo. Utilizaram, para tanto, uma técnica traçadora, sendo o 65Zn o elemento traçador. Concluíram que as frações argila e limo participam do fenômeno, mas não a fração areia

Influência do pH e dos teores de fosfato solúvel e matéria orgânica sobre a fixação de zinco pelo solo

The purpose of this experiment was to verify the effects of some properties of the soil as pH, and the content of soluble phosphate and organic matter on the soil capacity to fix zinc. Ten grams each of 30 samples of different soils were placed in a 250 ml Erlenmeyer flask and 4 ml of solution containing 100 mg of inert zinc and 0.7 mcof radioactive 65Zn were added. After 20 days of incubation, Zn was extracted with 20 ml of 0.01 M EDTA solution made 1M respect to (NH4)2CO3. An aliquot of 5 ml of the extract was transferred to a test tub and radioactivity of 65 Zn in it was measured with a scintillation counter. Quantity of zinc fixed by the different soils was calculated from the data obtained and county made on the standard solution. It was concluded that the amount of zinc fixed by the soil was positively correlated with pH, soluble phosphate and organic matter content of the soils.No presente trabalho os autores apresentam um estudo dos efeitos do pH e dos teores de fosfato solúvel em H2SO4 0,05 N e de matéria orgânica do solo sobre a capacidade de fixação de Zn do mesmo. Na execução do ensaio utilizaram uma técnica traçadora sendo o 65Zn o elemento traçador. Foi concluído que as quantidades de Zn fixadas estão direta e positivamente correlacionadas com o pH, com o teor de fosfato solúvel e de matéria orgânica dos solos

Hodge Theory on Metric Spaces

Hodge theory is a beautiful synthesis of geometry, topology, and analysis, which has been developed in the setting of Riemannian manifolds. On the other hand, spaces of images, which are important in the mathematical foundations of vision and pattern recognition, do not fit this framework. This motivates us to develop a version of Hodge theory on metric spaces with a probability measure. We believe that this constitutes a step towards understanding the geometry of vision. The appendix by Anthony Baker provides a separable, compact metric space with infinite dimensional \alpha-scale homology.Comment: appendix by Anthony W. Baker, 48 pages, AMS-LaTeX. v2: final version, to appear in Foundations of Computational Mathematics. Minor changes and addition

Supersymmetry Without Prejudice

We begin an exploration of the physics associated with the general CP-conserving MSSM with Minimal Flavor Violation, the pMSSM. The 19 soft SUSY breaking parameters in this scenario are chosen so as to satisfy all existing experimental and theoretical constraints assuming that the WIMP is a conventional thermal relic, ie, the lightest neutralino. We scan this parameter space twice using both flat and log priors for the soft SUSY breaking mass parameters and compare the results which yield similar conclusions. Detailed constraints from both LEP and the Tevatron searches play a particularly important role in obtaining our final model samples. We find that the pMSSM leads to a much broader set of predictions for the properties of the SUSY partners as well as for a number of experimental observables than those found in any of the conventional SUSY breaking scenarios such as mSUGRA. This set of models can easily lead to atypical expectations for SUSY signals at the LHC.Comment: 61 pages, 24 figs. Refs., figs, and text added, typos fixed; This version has reduced/bitmapped figs. For a version with better figs please go to http://www.slac.stanford.edu/~rizz

The geological cycle of plastics and their use as a stratigraphic indicator of the Anthropocene

The rise of plastics since the mid-20th century, both as a material element of modern life and as a growing environmental pollutant, has been widely described. Their distribution in both the terrestrial and marine realms suggests that they are a key geological indicator of the Anthropocene, as a distinctive stratal component. Most immediately evident in terrestrial deposits, they are clearly becoming widespread in marine sedimentary deposits in both shallow- and deep-water settings. They are abundant and widespread as macroscopic fragments and virtually ubiquitous as microplastic particles; these are dispersed by both physical and biological processes, not least via the food chain and the ‘faecal express’ route from surface to sea floor. Plastics are already widely dispersed in sedimentary deposits, and their amount seems likely to grow several-fold over the next few decades. They will continue to be input into the sedimentary cycle over coming millennia as temporary stores – landfill sites – are eroded. Plastics already enable fine time resolution within Anthropocene deposits via the development of their different types and via the artefacts (‘technofossils’) they are moulded into, and many of these may have long-term preservation potential when buried in strata

The Association Between Broad Antigen HLA Mismatches, Eplet HLA Mismatches and Acute Rejection After Kidney Transplantation

Epitope matching, which evaluates mismatched amino acids within antigen-antibody interaction sites (eplets), may better predict acute rejection than broad antigen matching alone. We aimed to determine the association between eplet mismatches and acute rejection in kidney transplant recipients.The association between eplet mismatches, broad antigen mismatches and acute rejection was assessed using adjusted Cox proportional hazard regression. Model discrimination for acute rejection was evaluated using the area under receiver operating characteristic curves.Of the 3,499 kidney transplant recipients from 2006 to 2011, the average (SD) number of broad antigen and eplet mismatches were 3.4 (1.7) and 22.8 (12.2), respectively. Compared with 0 to 2 eplet mismatches, the adjusted hazard ratio (HR) for acute rejection among those with 20 or greater eplet mismatches was 2.16 (95% confidence interval [CI], 1.33-3.52; P = 0.001). The adjusted area under the curve for broad antigen mismatches was 0.58 (95% CI, 0.56-0.61), similar to that for eplet mismatches (HR, 0.59; 95% CI, 0.56-0.61; P = 0.365). In recipients who were considered as low immunological risk (0-2 broad antigen HLA-ABDR mismatch), those with 20 or greater eplet mismatches experienced an increased risk of rejection compared to those with less than 20 mismatches (adjusted HR, 1.85; 95% CI, 1.11-3.08; P = 0.019).Increasing number of eplet mismatches is associated with acute rejection in kidney transplant recipients. Consideration of eplet HLA mismatches may improve risk stratification for acute rejection in a selected group of kidney transplant candidates.Hung Thanh Do Nguyen, Germaine Wong, Jeremy R. Chapman, Stephen P. McDonald, Patrick T. Coates, Narelle Watson, Lloyd D'Orsogna, and Wai Hon Li

Helicity Analysis of Semileptonic Hyperon Decays Including Lepton Mass Effects

Using the helicity method we derive complete formulas for the joint angular decay distributions occurring in semileptonic hyperon decays including lepton mass and polarization effects. Compared to the traditional covariant calculation the helicity method allows one to organize the calculation of the angular decay distributions in a very compact and efficient way. In the helicity method the angular analysis is of cascade type, i.e. each decay in the decay chain is analyzed in the respective rest system of that particle. Such an approach is ideally suited as input for a Monte Carlo event generation program. As a specific example we take the decay $\Xi^0 \to \Sigma^+ + l^- + \bar{\nu}_l$ ($l^-=e^-, \mu^-$) followed by the nonleptonic decay $\Sigma^+ \to p + \pi^0$ for which we show a few examples of decay distributions which are generated from a Monte Carlo program based on the formulas presented in this paper. All the results of this paper are also applicable to the semileptonic and nonleptonic decays of ground state charm and bottom baryons, and to the decays of the top quark.Comment: Published version. 40 pages, 11 figures included in the text. Typos corrected, comments added, references added and update

Star Formation and Dynamics in the Galactic Centre

The centre of our Galaxy is one of the most studied and yet enigmatic places in the Universe. At a distance of about 8 kpc from our Sun, the Galactic centre (GC) is the ideal environment to study the extreme processes that take place in the vicinity of a supermassive black hole (SMBH). Despite the hostile environment, several tens of early-type stars populate the central parsec of our Galaxy. A fraction of them lie in a thin ring with mild eccentricity and inner radius ~0.04 pc, while the S-stars, i.e. the ~30 stars closest to the SMBH (<0.04 pc), have randomly oriented and highly eccentric orbits. The formation of such early-type stars has been a puzzle for a long time: molecular clouds should be tidally disrupted by the SMBH before they can fragment into stars. We review the main scenarios proposed to explain the formation and the dynamical evolution of the early-type stars in the GC. In particular, we discuss the most popular in situ scenarios (accretion disc fragmentation and molecular cloud disruption) and migration scenarios (star cluster inspiral and Hills mechanism). We focus on the most pressing challenges that must be faced to shed light on the process of star formation in the vicinity of a SMBH.Comment: 68 pages, 35 figures; invited review chapter, to be published in expanded form in Haardt, F., Gorini, V., Moschella, U. and Treves, A., 'Astrophysical Black Holes'. Lecture Notes in Physics. Springer 201