This is an elaboration of a talk held at the workshop on the standard model of particle physics in Hesselberg, March 1999. You may think of a real structure on a spectral triple as a generalisation of the charge conjugation operator acting on spinors over an even dimensional manifold. The charge conjugation operator is, in fact, an important example and will be treated in detail below. The foll...

In this work, we experimentally investigate the chiro-optical properties of 3D metallic helical systems at optical frequencies. Both single and triple-nanowire geometries have been studied. In particular, we found that in single-helical nanostructures, the enhancement of chiro-optical effects achievable by geometrical design is limited, especially with respect to the operation wavelength and th...

background: the prevalence of hip dysplasia is 1 in 1000. several pelvic osteotomy methods have been developed to prevent early osteoarthritis, such as triple osteotomy. in this study we are going to introduce our new technique that was done on 4 patients with favorable short-term results.   methods: four patients underwent triple osteotomy and fixation using a reconstruction plate and early we...

purpose: to assess the results of combined penetrating keratoplasty and cataract extraction by extracapsular extraction versus phacoemulsification and to compare outcomes and complications. methods: in this interventional retrospective study, 76 eyes that had undergone triple surgery were included. cataract surgery was done in two different methods of extracapsular extraction and phacoemulsific...

let $p$ be a prime number greater than three. in this paper, we prove the existence of a new family of homotopy elements in the stable homotopy groups of spheres $pi_{ast}(s)$ which is represented by $h_nh_mtilde{beta}_{s+2}in {rm ext}_a^{s+4, q[p^n+p^m+(s+2)p+(s+1)]+s}(mathbb{z}_p,mathbb{z}_p)$ up to nonzero scalar in the adams spectral sequence, where $ngeq m+2>5$, $0leq sext}_a^{s+2,q[(s+2)p...

The idea that the geometric structure of physical spacetime could be noncommutative exists in different versions. In some of versions, the noncommutativity of geometry is viewed as a direct effect of quantum mechanics, which disappears in the limit in which we consider processes involving actions much larger than the Planck constant [1]. In the noncommutative geometry approach of Connes et. al....

We report the results of high spectral and angular resolution infrared observations of the multiple system GL 569 A and B that were intended to measure the dynamical masses of the brown dwarf binary believed to comprise GL 569 B. Our analysis did not yield this result but, instead, revealed two surprises. First, at age ∼ 100 Myr, the system is younger than had been reported earlier. Second, our...

We introduce a “geometric” method to bound periods of automorphic forms. The key features of this method are the use of equidistribution results in place of mean value theorems, and the systematic use of mixing and the spectral gap. Applications are given to equidistribution of sparse subsets of horocycles and to equidistribution of CM points; to subconvexity of the triple product period in the...