On the Possible Anomaly of Asymmetric Weight Reduction of Gyroscopes under Rotation

In this work, we discuss a theoretical model that can describe novel phenomena of induction of weak anomalous forces in gyroscopes under right rotations either in rest frame of the laboratory or in free-fall. The effect detected in the gyroscopes cannot be successfully associated to any conventional theory. So, we elaborated the theoretical description of such forces in both experiments by means of a model based on the generalized quantum entanglement framework, by considering as quantum witnesses the magnetic permeability and as macroscopic observable the angular momentum of the gyroscopes rotors. Our calculations indicate that there is a good agreement with the experimental data obtained from literature for most rotation frequencies measured

An introductory guide to computational methods for the solution of physics problems: with emphasis on spectral methods

This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generally taught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied to the solution of physical problems. The spectral methods consist in expanding the function to be calculated into a set of appropriate basis functions (generally orthogonal polynomials) and the respective expansion coefficients are obtained via collocation equations. The main advantage of these methods is that they simultaneously take into account all available information, rather only the information available at a limited number of mesh points. They require more complicated matrix equations than those obtained in finite difference methods. However, the elegance, speed, and accuracy of the spectral methods more than compensates for any such drawbacks. During the course of the monograph, the authors examine the usually rapid convergence of the spectral expansions and the improved accuracy that results when nonequispaced support points are used, in contrast to the equispaced points used in finite difference methods. In particular, they demonstrate the enhanced accuracy obtained in the solution of integral equations. The monograph includes an informative introduction to old and new computational methods with numerous practical examples, while at the same time pointing out the errors that each of the available algorithms introduces into the specific solution. It is a valuable resource for undergraduate students as an introduction to the field and for graduate students wishing to compare the available computational methods. In addition, the work develops the criteria required for students to select the most suitable method to solve the particular scientific problem that they are confronting