New Horizons in Mathematical Physics

5

Authors: Peter K F Kuhfittig

It is shown in this note that a noncommutative-geometry background determines the modified-gravity function f(R) for modeling dark matter.

8

Authors: Linlin Shen, Xiaodong Pan, Jingbo Zhou, Longcheng Xing, Yu Zhang

The antisymmetrical laminated cylindrical shell is a multilayer composite structure composed of single-layer fiber reinforced composites bonded by fiber-opposing layer, and it is a kind of advanced composite structure with the characteristics of bistable which is not possessed by general shell structure. In this paper, based on the two-point loading method in the experimental study, taking T700/TDE-85 antisymmetrical laminated cylindrical shells as an example, the steady-state transition model of antisymmetrical laminated cylindrical shells is established by using ABAQUS finite element software and the numerical calculation is carried out. The bistable transformation process of antisymmetric laminated cylindrical shells is simulated. The influence of ply number on the bistable behavior of the laminated structure is studied by changing the number of layers of the opposing called laminated cylindrical shells. The results show that the critical load of steady-state transition and the second steady-state residual stress increase with the increase of layer number of laminated shells, but the second steady-state crimp radius is almost unchanged.

8

Authors: Mark Titleman

This paper puts forward the notion that the universe operates in a binary manner that is limited in measurability by the information processing ability of the observer. This has important consequences such as increasing the speed limit of light in the universe to 1.14c within a black hole, applying parsimonious explanations of dark matter and dark energy, and accounting for theories such as MOND. These conclusions are arrived at on the basis of an original cosmology as well as mathematical representations of universal rudiments and gravity. Newton’s gravitational constant is given a range that should be used at long distances.

14

Authors: Shuang Lin, Chunhua Li

We consider the initial value problem for systems of one dimensional nonlinear Schrödinger equations with long-long or long-short range interactions. Global existence and time decay of small solutions are presented under mass resonance conditions.

7

Authors: J.R. Croca, P. Castro, M. Gatta, A. Cardoso, R. Moreira

Since its initial proposal in 1766, Titius-Bode empirical law has remained a puzzling source of discomfort as it predicts the average distances from the planets to the Sun for no apparent reason. Using a framework analogous to de Broglie’s pilot wave theory and the self-organizing Principle of Eurhythmy, we claim that several main physical quantities describing the Solar System are quantified. Hence the Titius-Bode Law is a direct manifestation of gravitational pilot-waves at work in the Solar System.