Compactifying fracton stabilizer models

Analysis of IEEE Power System Stabilizer Models

In 2005 IEEE (The Institute of Electrical and Electronic Engineers) introduced a new standard model for Power System Stabilizers, the PSS4B. This is an advanced multi-band stabilizer that may give a better performance than the regular PSSs often used today. The new stabilizer has three parallel control blocks, each aiming at damping different oscillatory modes or different frequency bands of th...

A quantum-geometrical description of fracton statistics

We consider the fractal characteristic of the quantum mechanical paths and we obtain for any universal class of fractons labeled by the Hausdorff dimension defined within the interval 1 < h < 2, a fractal distribution function associated with a fractal von Newmann entropy. Fractons are charge-flux systems defined in two-dimensional multiply connected space and they carry rational or irrational ...

Compactifying Moduli of Hyperelliptic Curves

We construct a new compactification of the moduli space Hg of smooth hyperelliptic curves of genus g. We compare our compactification with other well-known remarkable compactifications of Hg.

Genetic Order and Compactifying Garbage Collectors

Compactifying M-theory to four dimensions

We consider compactifications of M-theory to four-dimensional Minkowski space on seven-dimensional non-compact manifolds. These compactifications include a warp factor which is non constant due to the presence of sources coming from five-branes wrapping two-dimensional submanifolds of the internal seven-dimensional space. We derive the expression for the field strengths and consider an explicit...