Dodecahedral topology fails to explain quadrupole-octupole alignment

The CMB quadrupole and octupole, as well as being weaker than expected, align suspiciously well with each other. Non-trivial spatial topology can explain the weakness. Might it also explain the alignment? The answer, at least in the case of the Poincare dodecahedral space, is a resounding no.Comment: 5 pages, 1 figur

Cosmic Topology of Polyhedral Double-Action Manifolds

A special class of non-trivial topologies of the spherical space S^3 is investigated with respect to their cosmic microwave background (CMB) anisotropies. The observed correlations of the anisotropies on the CMB sky possess on large separation angles surprising low amplitudes which might be naturally be explained by models of the Universe having a multiconnected spatial space. We analysed in CQG 29(2012)215005 the CMB properties of prism double-action manifolds that are generated by a binary dihedral group D^*_p and a cyclic group Z_n up to a group order of 180. Here we extend the CMB analysis to polyhedral double-action manifolds which are generated by the three binary polyhedral groups (T^*, O^*, I^*) and a cyclic group Z_n up to a group order of 1000. There are 20 such polyhedral double-action manifolds. Some of them turn out to have even lower CMB correlations on large angles than the Poincare dodecahedron

Spectral Statistics in the Quantized Cardioid Billiard

The spectral statistics in the strongly chaotic cardioid billiard are studied. The analysis is based on the first 11000 quantal energy levels for odd and even symmetry respectively. It is found that the level-spacing distribution is in good agreement with the GOE distribution of random-matrix theory. In case of the number variance and rigidity we observe agreement with the random-matrix model for short-range correlations only, whereas for long-range correlations both statistics saturate in agreement with semiclassical expectations. Furthermore the conjecture that for classically chaotic systems the normalized mode fluctuations have a universal Gaussian distribution with unit variance is tested and found to be in very good agreement for both symmetry classes. By means of the Gutzwiller trace formula the trace of the cosine-modulated heat kernel is studied. Since the billiard boundary is focusing there are conjugate points giving rise to zeros at the locations of the periodic orbits instead of exclusively Gaussian peaks.Comment: 20 pages, uu-encoded ps.Z-fil

Cosmic microwave anisotropies in an inhomogeneous compact flat universe

The anisotropies of the cosmic microwave background (CMB) are computed for the half-turn space E_2 which represents a compact flat model of the Universe, i.e. one with finite volume. This model is inhomogeneous in the sense that the statistical properties of the CMB depend on the position of the observer within the fundamental cell. It is shown that the half-turn space describes the observed CMB anisotropies on large scales better than the concordance model with infinite volume. For most observer positions it matches the temperature correlation function even slightly better than the well studied 3-torus topology

Systematic Development of Mobile AR-applications, Special Focus on User Participation

AbstractA comprehensive, systematic planning method to design mobile Augmented Reality (AR)-applications in the range of production planning is not available. A target driven development process to match mobile AR-applications to the methodical needs of production planners is therefore proposed in this paper.The development process will be presented with special focus on the user integration. The incorporation of production planners, their intrinsic knowledge and engineering methods needs to be considered. Therefore, the paper will introduce how user relevant aspects will be identified and considered during the application development.Video abstrac

How well-proportioned are lens and prism spaces?

The CMB anisotropies in spherical 3-spaces with a non-trivial topology are analysed with a focus on lens and prism shaped fundamental cells. The conjecture is tested that well proportioned spaces lead to a suppression of large-scale anisotropies according to the observed cosmic microwave background (CMB). The focus is put on lens spaces L(p,q) which are supposed to be oddly proportioned. However, there are inhomogeneous lens spaces whose shape of the Voronoi domain depends on the position of the observer within the manifold. Such manifolds possess no fixed measure of well-proportioned and allow a predestined test of the well-proportioned conjecture. Topologies having the same Voronoi domain are shown to possess distinct CMB statistics which thus provide a counter-example to the well-proportioned conjecture. The CMB properties are analysed in terms of cyclic subgroups Z_p, and new point of view for the superior behaviour of the Poincar\'e dodecahedron is found

Level spacings and periodic orbits

Starting from a semiclassical quantization condition based on the trace formula, we derive a periodic-orbit formula for the distribution of spacings of eigenvalues with k intermediate levels. Numerical tests verify the validity of this representation for the nearest-neighbor level spacing (k=0). In a second part, we present an asymptotic evaluation for large spacings, where consistency with random matrix theory is achieved for large k. We also discuss the relation with the method of Bogomolny and Keating [Phys. Rev. Lett. 77 (1996) 1472] for two-point correlations.Comment: 4 pages, 2 figures; major revisions in the second part, range of validity of asymptotic evaluation clarifie

Permalloy-based carbon nanotube spin-valve

In this Letter we demonstrate that Permalloy (Py), a widely used Ni/Fe alloy, forms contacts to carbon nanotubes (CNTs) that meet the requirements for the injection and detection of spin-polarized currents in carbon-based spintronic devices. We establish the material quality and magnetization properties of Py strips in the shape of suitable electrical contacts and find a sharp magnetization switching tunable by geometry in the anisotropic magnetoresistance (AMR) of a single strip at cryogenic temperatures. In addition, we show that Py contacts couple strongly to CNTs, comparable to Pd contacts, thereby forming CNT quantum dots at low temperatures. These results form the basis for a Py-based CNT spin-valve exhibiting very sharp resistance switchings in the tunneling magnetoresistance, which directly correspond to the magnetization reversals in the individual contacts observed in AMR experiments.Comment: 3 page

Influence of Flank Face Structuring on Cooling, Tool Lifetime and Borehole Quality When Drilling Inconel 718: Physical Simulations and Experimental Validation

When drilling difficult-to-cut materials such as Inconel 718, the drills are exposed to high thermomechanical loads. Due to the low thermal conductivity of the workpiece material, a large amount of the generated heat has to be dissipated by the metal working fluid (MWF). However, the cutting zone is located inside the workpiece, which makes it challenging to provide sufficient MWF to the cutting zone. To solve this, drills with internal cooling channels are commonly used. In this work, the influence of differently structured flank faces on cooling efficiency, tool life, process forces and borehole quality is investigated. The influence of the structures on the cooling was investigated by Computational-Fluid-Dynamics (CFD) simulations. These simulations allow a detailed analysis of the flow conditions inside the borehole and showed that the structuring improved flow conditions, especially near the thermally highly loaded main cutting edge. The improved flow conditions resulted in an extension of the tool life by up to 22 % compared to unstructured drills in experimental investigations

Development and Validation of Energy Simulation for Additive Manufacturing

Additive manufacturing (AM) is a promising manufacturing technology towards cleaner production systems. Nevertheless, recent studies state that environmental benefits of AM are case-specific and need to be evaluated and confirmed in the design phase. To enable the energy performance evaluation in the design phase, developing convenient tools for energy prediction of AM has been an important research task. Aiming at this problem, this paper presents the research for energy modeling, simulation implementation, and experimental validation of an energy simulation tool of two AM processes: Selective laser melting (SLM) and Fused deposition modeling (FDM). The developed simulation tool can be conveniently used for energy consumption quantification and evaluation during the product and process design for AM