This article aims to explore the oscillatory characteristics of a controlled asymmetric rotor system when subjected rub and impact forces between stator. Four electromagnetic poles are used control whirling motion through linear proportional-derivative law. The equations that govern whole dynamics derived including forces. mathematical model is analyzed in two basic steps. Firstly, obtained tre...

Finite entropy thermal systems undergo Poincaré recurrences. In the context of field theory, this implies that at finite temperature, timelike two-point functions will be quasi-periodic. In this note we attempt to reproduce this behavior using the AdS/CFT correspondence by studying the correlator of a massive scalar field in the bulk. We evaluate the correlator by summing over all the SL(2, Z) ...

We briefly describe the importance of division algebras and Poincaré conjecture in both mathematical and physical scenarios. Mathematically, we argue that using the torsion concept one can combine the formalisms of division algebras and Poincaré conjecture. Physically, we show that both formalisms may be the underlying mathematical tools in special relativity and cosmology. Moreover, we explore...