14 research outputs found

    The quadratic spinor Lagrangian is equivalent to the teleparallel theory

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    The quadratic spinor Lagrangian is shown to be equivalent to the teleparallel / tetrad representation of Einstein's theory. An important consequence is that the energy-momentum density obtained from this quadratic spinor Lagrangian is essentially the same as the ``tensor'' proposed by Moller in 1961.Comment: 10 pages, RevTe

    Cartan's spiral staircase in physics and, in particular, in the gauge theory of dislocations

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    In 1922, Cartan introduced in differential geometry, besides the Riemannian curvature, the new concept of torsion. He visualized a homogeneous and isotropic distribution of torsion in three dimensions (3d) by the "helical staircase", which he constructed by starting from a 3d Euclidean space and by defining a new connection via helical motions. We describe this geometric procedure in detail and define the corresponding connection and the torsion. The interdisciplinary nature of this subject is already evident from Cartan's discussion, since he argued - but never proved - that the helical staircase should correspond to a continuum with constant pressure and constant internal torque. We discuss where in physics the helical staircase is realized: (i) In the continuum mechanics of Cosserat media, (ii) in (fairly speculative) 3d theories of gravity, namely a) in 3d Einstein-Cartan gravity - this is Cartan's case of constant pressure and constant intrinsic torque - and b) in 3d Poincare gauge theory with the Mielke-Baekler Lagrangian, and, eventually, (iii) in the gauge field theory of dislocations of Lazar et al., as we prove for the first time by arranging a suitable distribution of screw dislocations. Our main emphasis is on the discussion of dislocation field theory.Comment: 31 pages, 8 figure

    Genome-Wide Association Study in BRCA1 Mutation Carriers Identifies Novel Loci Associated with Breast and Ovarian Cancer Risk

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    BRCA1-associated breast and ovarian cancer risks can be modified by common genetic variants. To identify further cancer risk-modifying loci, we performed a multi-stage GWAS of 11,705 BRCA1 carriers (of whom 5,920 were diagnosed with breast and 1,839 were diagnosed with ovarian cancer), with a further replication in an additional sample of 2,646 BRCA1 carriers. We identified a novel breast cancer risk modifier locus at 1q32 for BRCA1 carriers (rs2290854, P = 2.7Ă—10-8, HR = 1.14, 95% CI: 1.09-1.20). In addition, we identified two novel ovarian cancer risk modifier loci: 17q21.31 (rs17631303, P = 1.4Ă—10-8, HR = 1.27, 95% CI: 1.17-1.38) and 4q32.3 (rs4691139, P = 3.4Ă—10-8, HR = 1.20, 95% CI: 1.17-1.38). The 4q32.3 locus was not associated with ovarian cancer risk in the general population or BRCA2 carriers, suggesting a BRCA1-specific associat

    Seletividade do herbicida fluazifop-p-butil para cucurbitáceas Selectivity of the herbicide fluazifop-p-buthyl for cucurbitaceae

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    Experimentos foram conduzidos em condições de casa de vegetação, com o objetivo de avaliar a seletividade do herbicida fluazifop-p-butil nas doses de 0, 94, 188, 376 e 752 g i.a. ha-1 para cinco espécies de cucurbitáceas (abobrinha, melancia, melão, moranga e pepino). Foi determinada a fitotoxicidade aos 14 dias após a aplicação dos tratamentos (DAT). Aos 20 DAT foram avaliadas a estatura, área foliar e matéria seca. O melão e o pepino mostraram sensibilidade ao fluazifop-p-butil na maior dose estudada, com maior intensidade no melão. Os resultados demonstraram que existe resposta a estes herbicidas mesmo dentro da classe Dicotiledoneae. Especula-se que essas respostas possam auxiliar no entendimento do completo mecanismo de ação desse herbicida.<br>Experiments were conducted under greenhouse conditions to evaluate the selectivity of the herbicide fluazifop-p-buthyl at rates of 0, 94, 188 and 752 g a.i. ha-1 for five cucurbitaceous species (summer squash, watermelon, melon, pumpkin and cucumber). Plant injury at 14 days after treatments (DAT) and plant size, leaf area and dry weight at 20 DAT were determined. Melon and cucumber were susceptible to fluazifop-p-buthyl at the highest rate with highest herbicide effect being observed on melon. These results indicated that responses to these herbicides occur, even in the Dicotiledonae class. These responses are thought to help understand the overall mechanism of action of this herbicide
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