Agronomic characterization of banana mutants obtained by gamma radiation

Banana is one of the most economically important fruit, explored almost exclusively by small producers as a continuous source of food and income. Although Brazil is one of the main banana producers, the national banana production is undergoing serious problems especially in the phases of production and post-harvest limiting its participation in the international market. One of the main factors leading to great production losses is the toppling over due to the tall height of plants of main commercial cultivars. A strategy to solve this problem is reducing height by inducing mutation. The objective of the present work was to characterize irradiated Prata type banana mutants (cvs. Pacovan and Preciosa) during two production cycles in order to select short plants in height with good agronomic characteristics. In vitro plants of both cultivars were irradiated with gamma rays in the doses of 20 Gy ('Pacovan', 200 plants) and 30 Gy ( 'Preciosa', 200 plants) subcultivated four times and afterwards evaluated in the field during two production cycles. Four possible mutants were selected from each cultivar with height smaller than the average height of the controls after two evaluation cycles. It was observed that some of these mutants presented greater precocity and bunch weight compared to the controls. From the results obtained it is possible to select mutant plants with superior agronomic characteristics for 'Pacovan' as well as 'Preciosa' submitted to gamma radiation.

Conceptual problem for noncommutative inflation and the new approach for nonrelativistic inflationary equation of state

In a previous paper, we connected the phenomenological noncommutative inflation of Alexander, Brandenberger and Magueijo [ Phys. Rev. D 67 081301 (2003)] and Koh and Brandenberger [ J. Cosmol. Astropart Phys. 2007 21 ()] with the formal representation theory of groups and algebras and analyzed minimal conditions that the deformed dispersion relation should satisfy in order to lead to a successful inflation. In that paper, we showed that elementary tools of algebra allow a group-like procedure in which even Hopf algebras (roughly the symmetries of noncommutative spaces) could lead to the equation of state of inflationary radiation. Nevertheless, in this paper, we show that there exists a conceptual problem with the kind of representation that leads to the fundamental equations of the model. The problem comes from an incompatibility between one of the minimal conditions for successful inflation (the momentum of individual photons being bounded from above) and the Fock-space structure of the representation which leads to the fundamental inflationary equations of state. We show that the Fock structure, although mathematically allowed, would lead to problems with the overall consistency of physics, like leading to a problematic scattering theory, for example. We suggest replacing the Fock space by one of two possible structures that we propose. One of them relates to the general theory of Hopf algebras (here explained at an elementary level) while the other is based on a representation theorem of von Neumann algebras (a generalization of the Clebsch-Gordan coefficients), a proposal already suggested by us to take into account interactions in the inflationary equation of state.