A Lagrangian for flat domain walls in spaces with Cartan torsion and electromagnetic fields is proposed.The Lagrangian is very similar to a recently proposed Lagrangian for domain walls in a Chern-Simons electrodynamics in 2+1 dimensions.We show that in the first approximation of the torsion scalar potential the field equations are reduced to a Klein-Gordon type field equation for the torsion p...

It was a project for a book, but, as my interests shifted towards a different project, I decided to stop this, and start writing my Elements for Physics. The occasional reader is invited to have a look at the Preface and Table of Contents. It may well be that she/he finds useful some parts of this text. Preface The theory of continuous media is not of universal validity but it is applicable in ...

We construct a nonperturbative regularization for Euclidean noncommutative supersymmetric Yang-Mills theories with four (N = (2, 2)) , eight (N = (4, 4)) and sixteen (N = (8, 8)) supercharges in two dimensions. The construction relies on orbifolds with discrete torsion, which allows noncommuting space dimensions to be generated dynamically from zero dimensional matrix model in the deconstructio...

Oscillating phases in Bianchi type IX anisotropic universes are obtained as linearized solutions of Einstein-Cartan theory of gravity.Instead of making use of Weyssenhoff spinning fluids we addopt axionic torsion matter where the torsion tensor is totally skew-symmetric as in Kalb-Rammond type theories.Spin-torsion,metric and matter density oscillate at different phases. An upper bound oscillat...

In this article we explore a non-abelian torsion theory in the category of preordered groups: objects its torsion-free subcategory are partially ordered groups, whereas groups (with total order). The reflector from to has stable units, and prove that it induces monotone-light factorization system. We describe coverings relative Galois structure naturally associated with reflector, explain how t...

This article aims to be a self-contained account of the history B Newman Spelling Theorem, including historical context in which it arose. First, an and how he came prove his Theorem is given, together with description author's efforts track this information down. Following this, high-level combinatorial group theory given. then tied word problem, fundamental problem area. After some one-relato...

Background: Left ventricular torsion is one of the most important biomechanical parameters of heart that routinely is measured in short axis view.  A review of the literature has indicated that assessment of left ventricular torsion in short axis view has some limitations. In the present study, we evaluated whether torsion angle assessment in long axis view can be used as a diagnostic biomechan...

A rotor dynamic analysis method for the complex three-dimensional design blade was developed and applied to analyzing its aeroelastic stability. Based on medium-size deformation beam theory Hamilton principle, joint transfer matrix used in kinematic compatibility principle assembled finite element develop structural dynamics model. The BO105 validate this characteristic of analyzed detail. resu...

In this note, we prove that the Grothendieck group of a smooth complete toric Deligne-Mumford stack is torsion free. This statement holds when the generic point is stacky. We also construct an example of open toric stack with torsion in K-theory. This is a part of the author’s Ph.D thesis. A similar result has been proved by Goldin, Harada, Holm, Kimura and Knutson in [GHHKK] using symplectic m...