Shape Space Methods for Quantum Cosmological Triangleland

With toy modelling of conceptual aspects of quantum cosmology and the problem of time in quantum gravity in mind, I study the classical and quantum dynamics of the pure-shape (i.e. scale-free) triangle formed by 3 particles in 2-d. I do so by importing techniques to the triangle model from the corresponding 4 particles in 1-d model, using the fact that both have 2-spheres for shape spaces, though the latter has a trivial realization whilst the former has a more involved Hopf (or Dragt) type realization. I furthermore interpret the ensuing Dragt-type coordinates as shape quantities: a measure of anisoscelesness, the ellipticity of the base and apex's moments of inertia, and a quantity proportional to the area of the triangle. I promote these quantities at the quantum level to operators whose expectation and spread are then useful in understanding the quantum states of the system. Additionally, I tessellate the 2-sphere by its physical interpretation as the shape space of triangles, and then use this as a back-cloth from which to read off the interpretation of dynamical trajectories, potentials and wavefunctions. I include applications to timeless approaches to the problem of time and to the role of uniform states in quantum cosmological modelling.Comment: A shorter version, as per the first stage in the refereeing process, and containing some new reference

Quantization of the interior Schwarzschild black hole

We study a Hamiltonian quantum formalism of a spherically symmetric space-time which can be identified with the interior of a Schwarzschild black hole. The phase space of this model is spanned by two dynamical variables and their conjugate momenta. It is shown that the classical Lagrangian of the model gives rise the interior metric of a Schwarzschild black hole. We also show that the the mass of such a system is a Dirac observable and then by quantization of the model by Wheeler-DeWitt approach and constructing suitable wave packets we get the mass spectrum of the black hole.Comment: 12 pages, 1 figure, revised versio

Looking forward through the past: identification of 50 priority research questions in palaeoecology

1. Priority question exercises are becoming an increasingly common tool to frame future agendas in conservation and ecological science. They are an effective way to identify research foci that advance the field and that also have high policy and conservation relevance. 2. To date, there has been no coherent synthesis of key questions and priority research areas for palaeoecology, which combines biological, geochemical and molecular techniques in order to reconstruct past ecological and environmental systems on time-scales from decades to millions of years. 3. We adapted a well-established methodology to identify 50 priority research questions in palaeoecology. Using a set of criteria designed to identify realistic and achievable research goals, we selected questions from a pool submitted by the international palaeoecology research community and relevant policy practitioners. 4. The integration of online participation, both before and during the workshop, increased international engagement in question selection. 5. The questions selected are structured around six themes: human–environment interactions in the Anthropocene; biodiversity, conservation and novel ecosystems; biodiversity over long time-scales; ecosystem processes and biogeochemical cycling; comparing, combining and synthesizing information from multiple records; and new developments in palaeoecology. 6. Future opportunities in palaeoecology are related to improved incorporation of uncertainty into reconstructions, an enhanced understanding of ecological and evolutionary dynamics and processes and the continued application of long-term data for better-informed landscape management

Household Energy Demand and its Challenges for Forest Management in the Kakamega Area, Western Kenya

researchThe presented study investigated the energy demand of a sample of 201 households adjacent to Kakamega Forest. The aim of the study focused on the evaluation of possible threats to the forest under the scenario that the local population continues to heavily use Kakamega Forest, disregarding the restrictions posed by national law. The data collected serves as a base for an estimate of the potential demand on forest resources and as a resource for developing management strategies. Sooner or later the demand for energy and plant material by an ever increasing population needs to be satisfied, and the only easily available resource is Kakamega Forest, in particular in an environment without industrial and commercial benefits. This study showed that the demand for energy is still very high, and that legal restrictions do not protect forests from over-use and destruction. The current restrictions prevent the population from understanding the need to protect the forest. This results in disinterest in protection efforts, even though there is high interest and efforts in protection of common goods. The early awareness of these conditions could protect natural forests from being destroyed, and help to sustainably manage them

Impairment of inhibitory control in response to food-associated cues and attentional bias of obese participnats and normal-weight controls

OBJECTIVE: Starting from a model of impaired response inhibition and salience attribution for addictive behaviour we investigated whether obese participants show a greater impairment of inhibitory control in response to food-associated cues compared with neutral stimuli and whether this is seen in normal-weight control subjects. In addition, we questioned whether an attentional bias towards food-associated cues can be observed in an early stage of information processing. DESIGN: Control-group study including the administration of behavioural tasks (that is, go/no-go task with food-associated and neutral words, visual dot probe task with food-associated and neutral pictures) and self-reported measures of eating behaviour and impulsivity. RESULTS: Although self-reported measures indicated disinhibition of eating behaviour of obese patients, we found that food-associated stimuli induced an impairment of inhibitory control in both obese participants as well as normal-weight controls. Results from the visual dot-probe task indicated that food-associated cues did not modulate attention allocation in a very early stage of information processing, which suggests that the incentive salience of food-associated stimuli might be lower than that of drug-associated cues. CONCLUSION: These findings are not in line with hypotheses derived from models of addictive behaviour and call into question that an impairment of inhibitory control in response to food-associated cues and salience attribution might be at the core of obesity. Future studies using larger sample sizes and refined experimental procedures are warranted to further investigate mechanisms controlling food intake in obesity