Is the Interpretation of Delayed-Choice Experiments Misleading?

The interpretation of an experimental realization of Wheeler's delayed-choice gedanken experiment is discussed and called into question.Comment: 5 pages Te

The Positivity Set of a Recurrence Sequence

We consider real sequences $(f_n)$ that satisfy a linear recurrence with constant coefficients. We show that the density of the positivity set of such a sequence always exists. In the special case where the sequence has no positive dominating characteristic root, we establish that the density is positive. Furthermore, we determine the values that can occur as density of such a positivity set, both for the special case just mentioned and in general

Treefall Gaps and the Maintenance of Species Diversity in a Tropical Forest

The maintenance of species diversity by treefall gaps is a long‐standing paradigm in forest ecology. Gaps are presumed to provide an environment in which tree species of differing competitive abilities partition heterogeneous resources. The empirical evidence to support this paradigm, however, remains scarce, and some recent studies even suggest that gaps do not maintain the diversity of shade‐tolerant species. Although there is evidence that gaps maintain the diversity of pioneer trees, most of this evidence comes from studies that did not make comparisons between gaps and intact forest sites (controls). Further, nearly all studies on the maintenance of diversity by gaps have ignored lianas, an important component of both old‐world and neotropical forests. We tested the hypothesis that treefall gaps maintain shade‐tolerant tree, pioneer tree, and liana species diversity in an old‐growth forest on Barro Colorado Island (BCI), Panama. We compared the density and species richness of these guilds between paired gap and non‐gap sites on both a per‐area and a per‐individual (per capita) basis. We found no difference in shade‐tolerant tree density and species richness between the gap and non‐gap sites. Both pioneer tree and liana density and species richness, however, were significantly higher in the gap than in the non‐gap sites on both a per‐area and a per‐individual basis. These results suggest that gaps maintain liana species diversity and that this effect is not merely a consequence of increased density. Furthermore, our data confirm the long‐held belief that gaps maintain pioneer tree species diversity. Because lianas and pioneer trees combined account for ∼43% of the woody plant species on BCI, and in other forests, our results are likely to be broadly applicable and suggest that gaps play a strong role in the maintenance of woody species diversity

Have we forgotten the forest because of the trees?

Recently, Brokaw and Busing argued that there is limited evidence for niche partitioning of tree species within forest gaps1. Consequently, gaps appear to play a relatively minor role in the maintenance of tree species diversity in forests via traditional resource partitioning. This conclusion is strongly supported by the existing empirical evidence, particularly for shade-tolerant tree species. Most studies of gaps, however, have failed to take into account plant groups other than trees2-4. Gaps may be a necessary habitat for the persistence of a large proportion of the vascular plant species other than shade-tolerant trees; specifically, pioneer trees, lianas, herbs, shrubs, and herbaceous vines2-8. For example, in a study on Barro Colorado Island (BCI), Panama, gaps had higher liana and pioneer tree diversity on both a per area and per stem basis (thereby removing the effect of density) compared to the surrounding forest2,3. These two plant groups alone account for approximately 43% of the woody species in this tropical forest2. There is also evidence that many forest herbs are gap dependent5,6. The role of gaps in the maintenance of shrubs is less clear, although there is some evidence that gaps promote shrub growth and reproduction7,8. Overall, when the major vascular plant groups are considered, as much as 65% of the flora of BCI may be gap dependent (Table 1). The specific mechanism that leads to the higher diversity of these groups in gaps remains unknown. Nonetheless, because these vascular plant groups represent a majority of the plant species in tropical forests worldwide4,9, gaps may often play a strong role in the maintenance of species diversity. Brokaw and Busing also argued that gaps might maintain diversity via the density effect10; Specifically, that gaps will have a higher diversity of trees solely because they have a higher density of trees compared to the surrounding forest. Tree density in gaps, however, declines (thins) with age, and thus the density effect could maintain diversity in the mature forest primarily in two ways. First, if individuals in gaps reach reproductive age prior to thinning then they could potentially colonize new gaps. Data are lacking, however, on whether trees reach reproductive age sooner (i.e., smaller size or age class) in gaps than in non-gap sites. Second, there must be niche partitioning. Without niche partitioning, thinning of individuals occurs randomly, and the initial increase in diversity would be merely a transitory result of the short-term increase in plant density2,11. Consequently, given the scanty evidence for niche partitioning and accelerated reproduction in gaps, the evidence for the density effect as a viable mechanism to explain the maintenance of diversity in forests is equivocal at best. We argue that papers sounding the death knell for the role of gaps in the maintenance of diversity in forests (e.g., Ref. 11) may be premature. The focus of most previous research on the ability of tree species to partition resources in gaps may have caused us to overlook the importance of gaps for many other groups of vascular plants (Table 1). Future research is necessary to quantify further the proportion of species in these and other groups (e.g., epiphytes) that require gaps for persistence in the community

Modelling strong interactions and longitudinally polarized vector boson scattering

We study scattering of the electroweak gauge bosons in 5D warped models. Within two different models we determine the precise manner in which the Higgs boson and the vector resonances ensure the unitarity of longitudinal vector boson scattering. We identify three separate scales that determine the dynamics of the scattering process in all cases. For a quite general background geometry of 5D, these scales can be linked to a simple functional of the warp factor. The models smoothly interpolate between a `composite' Higgs limit and a Higgsless limit. By holographic arguments, these models provide an effective description of vector boson scattering in 4D models with a strongly coupled electroweak breaking sector.Comment: 30 pages, no figure