We calculate the constraints on the constants of hypothetical long-range interactions which follow from the recent measurement of the Casimir force. A comparison with previous constraints is given. The new constraints are up to a factor of 3000 stronger in some parameter regions .

In the study of Fuchsian groups, it is a nontrivial problem to determine a set of generators. Using a dynamical approach we construct for any cocompact arithmetic Fuchsian group a fundamental region in SL2(R) from which we determine a set of small generators.

In this paper we argue that a set of fundamental forces has driven modern communication services to become highly centralized. This centralization has enabled globe spanning communication infrastructure and services to be built, but has also enabled powerful actors to monitor and control communications on an unprecedented scale. As a counterbalancing force we propose a Liberouter network, which...

Let G be a connected linear Lie group which finitely covers the isometry group of X. Furthermore, let Γ ⊂ G be a discrete subgroup. We assume that Γ is geometrically finite. We refer to Definition 2.1 for a precise explanation of this notion. If X is a real hyperbolic space, then Γ is geometrically finite iff it admits a fundamental domain with finitely many totally geodesic faces. In the other...

The standard model of fundamental interactions is remarkably successful, but it leaves an unfinished agenda. Several major questions seem ripe for exploration in the near future. I anticipate that the coming decade will be a Golden Age of discovery in fundamental physics. Based on an invited talk at SUSY07, Karlsruhe, July 2007. This paper follows the talk closely.

We prove that the zeros of a family of extremal modular forms interlace, settling a question of Nozaki. Additionally, we show that the zeros of almost all forms in a basis for the space of weakly holomorphic modular forms of weight k for SL2(Z) interlace on most of the lower boundary of the fundamental domain.

Since October in 2005, it has been efforts of the world people, manifested in television and led notably by me, the India Member, Zhejiang Member, and US Members in the world satellite networks, to attempt to realize electromagnetic unification of four forces. In 2009 I finished writing a book on the major progressions made by them up to then, and in 2015 I published this book entitled as “Elec...

This paper is concerned with a priori C∞ regularity for threedimensional doubly periodic travelling gravity waves whose fundamental domain is a symmetric diamond. The existence of such waves was a long standing open problem solved recently by Iooss and Plotnikov. The main difficulty is that, unlike conventional free boundary problems, the reduced boundary system is not elliptic for three-dimens...

Some key concepts of particle physics like mass, charge, forces and fundamental interactions are here seen not as basic but as mere useful derived concepts. It will be shown that these derived concepts can be understood in a unitary way in light of the New global physics, the Hyperphysis, rooted onto the organizing principle of eurhythmy.

Feature matching in images plays an important role in computer vision such as for 3D reconstruction, motion analysis, object recognition, target tracking and dynamic scene analysis. In this paper, we present a robust cooperative strategy to establish the correspondence of the contours between two uncalibrated images based on the recovered epipolar geometry. We take into account two representati...