Feasibility of a Unitary Quantum Dynamics in the Gowdy T3T^3 Cosmological Model

It has been pointed out that it is impossible to obtain a unitary implementation of the dynamics for the polarized Gowdy $T^{3}$ cosmologies in an otherwise satisfactory, nonperturbative canonical quantization proposed for these spacetimes. By introducing suitable techniques to deal with deparametrized models in cosmology that possess an explicit time dependence (as it is the case for the toroidal Gowdy model), we present in this paper a detailed analysis about the roots of this failure of unitarity. We investigate the impediments to a unitary implementation of the evolution by considering modifications to the dynamics. These modifications may be regarded as perturbations. We show in a precise manner why and where unitary implementability fails in our system, and prove that the obstructions are extremely sensitive to modifications in the Hamiltonian that dictates the time evolution of the symmetry-reduced model. We are able to characterize to a certain extent how far the model is from unitarity. Moreover, we demonstrate that the dynamics can actually be approximated as much as one wants by means of unitary transformations.Comment: 12 pages, version accepted for publication in Physical Review

A Tobacco Homolog of DCN1 is Involved in Cellular Reprogramming and in Developmental Transitions

Plant proteomes show remarkable plasticity in reaction to environmental challenges and during developmental transitions. Some of this adaptability comes from ubiquitin-mediated protein destruction regulated by cullin-RING E3 ubiquitin ligases (CRLs). CRLs are activated through modification of the cullin subunit with the ubiquitin-like protein RUB/NEDD8 by an E3 ligase called defective in cullin neddylation 1 (DCN1). Here we show that tobacco DCN1 binds ubiquitin and RUB/NEDD8, and associates with cullin. When knocked down by RNAi, tobacco pollen formation stopped and zygotic embryogenesis was blocked around the globular stage. Additionally, we found that RNAi of DCN1 inhibited the stress-triggered reprogramming of cultured microspores from their intrinsic gametophytic mode of development to an embryogenic state. This stress-induced developmental switch is a known feature in many important crops and leads ultimately to the formation of haploid embryos and plants. Compensating the RNAi effect by re-transformation with a promoter-silencing construct restored pollen development and zygotic embryogenesis, as well as the ability for stress-induced formation of embryogenic microspores. Overexpression of DCN1, however, accelerated pollen tube growth and increased the potential for microspore reprogramming. These results demonstrate that the biochemical function of DCN1 is conserved in plants and that its activity is specifically required for transitions during pollen development and embryogenesis, and for pollen tube tip growth

Comparison of different techniques for gene transfer into mature and immature tobacco pollen

The particle gun, cocultivation with Agrobacterium tumefaciens, and imbibition in DNA solutions were compared as methods to transfer DNA into mature and immature pollen of Nicotiana tabacum. Bombardment of mature pollen with the β-glucuronidase gene cloned behind the pollen-specific PA2 promoter of the chalcone isomerase gene of Petunia hybrida resulted in the expression of the β-glucuronidase gene in 0.025% of the pollen grains. Bombardment of younger stages followed by in vitro maturation also resulted in the formation of mature pollen that expressed β-glucuronidase, although at a lower frequency. Cocultivation of pollen during in vitro maturation or in vitro germination with Agrobacterium tumefaciens did not yeild β-glucuronidase-expressing pollen. In these cases, an intron-containing β-glucuronidase gene was used which effectively prevented β-glucuronidase expression in the bacteria. Imbibition of mature, dry pollen in various DNA solutions of the same constructs also did not lead to the formation of β-glucuronidase expressing pollen