Structure of Six-Dimensional Microstate Geometries

We investigate the structure of smooth and horizonless microstate geometries in six dimensions, in the spirit of the five-dimensional analysis of Gibbons and Warner [arXiv:1305.0957]. In six dimensions, which is the natural setting for horizonless geometries with the charges of the D1-D5-P black hole, the natural black objects are strings and there are no Chern-Simons terms for the tensor gauge fields. However, we still find that the same reasoning applies: in absence of horizons, there can be no smooth stationary solutions without non-trivial topology. We use topological arguments to describe the Smarr formula in various examples: the uplift of the five-dimensional minimal supergravity microstates to six dimensions, the two-charge D1-D5 microstates, and the non-extremal JMaRT solution. We also discuss D1-D5-P superstrata and confirm that the Smarr formula gives the same result as for the D1-D5 supertubes which are topologically equivalent.Comment: 29 pages, v2: references added, published versio

Fairness under Uncertainty with Indivisibilities

I analyze an economy with uncertainty in which a set of indivisible objects and a certain amount of money is to be distributed among agents. The set of intertemporally fair social choice functions based on envy-freeness and Pareto efficiency is characterized. I give a necessary and sufficient condition for its non-emptiness and propose a mechanism that implements the set of intertemporally fair allocations in Bayes-Nash equilibrium. Implementation at the ex ante stage is considered, too. I also generalize the existence result obtained with envy-freeness using a broader fairness concept, introducing the aspiration function.aspiration function, envy-free social choice function, fairness, implementation, indivisible goods, uncertainty

Surface flow profiles for dry and wet granular materials by Particle Tracking Velocimetry; the effect of wall roughness

Two-dimensional Particle Tracking Velocimetry (PTV) is a promising technique to study the behaviour of granular flows. The aim is to experimentally determine the free surface width and position of the shear band from the velocity profile to validate simulations in a split-bottom shear cell geometry. The position and velocities of scattered tracer particles are tracked as they move with the bulk flow by analyzing images. We then use a new technique to extract the continuum velocity field, applying coarse-graining with the postprocessing toolbox MercuryCG on the discrete experimental PTV data. For intermediate filling heights, the dependence of the shear (or angular) velocity on the radial coordinate at the free surface is well fitted by an error function. From the error function, we get the width and the centre position of the shear band. We investigate the dependence of these shear band properties on filling height and rotation frequencies of the shear cell for dry glass beads for rough and smooth wall surfaces. For rough surfaces, the data agrees with the existing experimental results and theoretical scaling predictions. For smooth surfaces, particle-wall slippage is significant and the data deviates from the predictions. We further study the effect of cohesion on the shear band properties by using small amount of silicon oil and glycerol as interstitial liquids with the glass beads. While silicon oil does not lead to big changes, glycerol changes the shear band properties considerably. The shear band gets wider and is situated further inward with increasing liquid saturation, due to the correspondingly increasing trend of particles to stick together

Fluid pumped by magnetic stress

A magnetic field rotating on the free surface of a ferrofluid layer is shown to induce considerable fluid motion toward the direction the field is rolling. The measured flow velocity i) increases with the square of the magnetic field amplitude, ii) is proportional to the thickness of the fluid layer, and iii) has a maximum at a driving frequency of about 3 kHz. The pumping speed can be estimated with a two-dimensional flow model.Comment: 3 pages, 4 figure

Philosophie und biomedizinische Forschung

Die bahnbrechenden wissenschaftlichen Ergebnisse der letzten Jahre erzwingen eine neue philosophische Auseinandersetzung mit den Grundkategorien der Biologie und der benachbarten Disziplinen. Insbesondere die Anwendung neuer informationstechnischer Mittel in der biomedizinischen Forschung und die damit verbundene, kontinuierlich zunehmende Datenflut sowie die Notwendigkeit, ihrer Herr zu werden, erfordern ein konsequentes Nachdenken darüber, wie biologische Daten systematisiert und klassifiziert werden können. Dafür wiederum bedarf es robuster Theorien von Grundbegriffen wie Art, Spezies, Teil, Ganzes, Funktion, Prozess, Fragment, Sequenz, Expression, Grenze, Locus, Umwelt, System usw. Solche Begriffe gehören zum impliziten Wissen jedes Biologen. Sie spiegeln einerseits eine Dimension der biologischen Wirklichkeit wider, die auch vor dem Hintergrund der biologischen Evolution unverändert bleibt. Andererseits verlangt deren theoretische Behandlung nach zeitgemäßen Analoga der in der traditionellen aristotelischen Metaphysik entwickelten Methoden. Zugleich können so die explizit formulierten Theorien und Definitionen bereitgestellt werden, die für computergestützte Informationssysteme unabdingbar sind. Das Entwickeln derartiger Theorien und Definitionen ist eine Aufgabe der Philosophie, die in diesem Sinne herausgefordert ist, zwischen Biologie und Informatik zu vermitteln

The relationship between stress shielding and bone resorption around total hip stems and the effects of flexible materials

Bone resorption around hip stems is a disturbing phenomenon, although its clinical significance and its eventual effects on replacement longevity are as yet uncertain. The relationship between implant flexibility and the extent of bone loss, frequently established in clinical patient series and animal experiments, does suggest that the changes in bone morphology are an effect of stress shielding and a subsequent adaptive remodeling process. This relationship was investigated using strain-adaptive bone-remodeling theory in combination with finite element models to simulate the bone remodeling process. The effects of stem material flexibility, bone flexibility, and bone reactivity on the process and its eventual outcome were studied. Stem flexibility was also related to proximal implant/bone interface stresses. The results sustain the hypothesis that the resorptive processes are an effect of bone adaptation to stress shielding. The effects of stem flexibility are confirmed by the simulation analysis. It was also established that individual differences in bone reactivity and mechanical bone quality (density and stiffness) may account for the individual variations found in patients and animal experiments. Flexible stems reduce stress shielding and bone resorption. However, they increase proximal interface stresses. Hence, the cure against bone resorption they represent may develop into increased loosening rates because of interface debonding and micromotion. The methods presented in this paper can be used to establish optimal stem-design characteristics or check the adequacy of designs in preclinical testing procedures

Ehe- und familienbezogene Leistungen in der Alterssicherung: Wichtig für die wirtschaftliche Stabilität von Familien

Familienbedingte Erwerbsunterbrechungen führen in Zusammenhang mit der Alterssicherung insbesondere für Mütter oft zu niedrigeren gesetzlichen Rentenansprüchen. Vor diesem Hintergrund hat der Gesetzgeber ehe- und familienbezogene Leistungen konzipiert, die solche Defizite in der Altersversorgung ausgleichen sollen. Diese Leistungen mit unmittelbarem Bezug zur Alterssicherung haben eine wesentliche Bedeutung für die wirtschaftliche Stabilität von Familien im Alter. Das trifft insbesondere auf die Kindererziehungszeiten zu und in begrenztem Maß auch auf den Kinderzuschlag bei der Witwenrente, die Kinderberücksichtigungszeiten im Zusammenhang mit der Höherbewertung unterdurchschnittlicher Erwerbseinkommen sowie den Nachteilsausgleich bei Mehrfacherziehung und die Kinderzulage bei der Riester-Rente. Deutlich geringere Bedeutung haben hingegen die Kinderberücksichtigungszeiten für die Berechtigung zu einem Renteneintritt vor Erreichen des Regelrenteneintrittsalters.Family-related breaks in employment often lead to lower statutory pension entitlements, especially for retired mothers. Against this background, the legislation for marriage- and family-related payments has been designed to compensate for such deficits in old-age provision. These payments are directly related to old-age pensions and can be of relevant importance for the economic stability of families in retirement. This applies in particular to child-rearing periods and, to a limited degree, also to supplementary child allowance for widow's pensions and credited child-raising periods in relation to revaluation and bringing up several children. In contrast, credited child-raising periods have less relevance for the entitlements of those retiring before the default retirement age