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.

This report describes a pilot comparison of resistance measurements performed between Danish Fundamental Metrology(DFM), Lyngby, Denmark, and Semiconductor Physics Institute (SPI), Vilnius, Lithuania, at resistance values 100 Ω and 10kΩ. Dansk resumé: Denne rapport beskriver en pilotsammenligning af måling af resistans mellem Dansk Fundamental Metrologi (DFM), Lyngby, Danmark, og Semiconductor ...

All the methods for estimating the fundamental matrix do not naturally exploit the rank-2 constraint. For these reason some few rank-2 parameterizations of the fundamental matrix have been proposed over the years. In general they can be or an over-parameterization (12 parameters) and being generally valid, or use a minimal set of parameters (eight) but do not cover all the rank-2 matrices. We p...

Relationship between the speed of gravity cg and the speed of light ce in the bi-metric theory of gravity is discussed. We reveal that the speed of light is a function of the speed of gravity which is a primary fundamental constant. Thus, experimental measurement of relativistic bending of light propagating in time-dependent gravitational field directly compares the speed of gravity versus the ...

Let Sf be a compact Riemann surface, which we will assume to have curvature normalized to be — 1 , and let 0=A0<A1^A2^• • be the eigenvalues corresponding to the problem AF+AF=0 on Sf \ where A is the Laplacian for £P. In an otherwise very interesting and useful paper [2], McKean has stated that it is always the case that A ^ J. In this paper, we will show that this need not be true, and that i...

We give a general structure theory for reconstructing group actions on sets without any assumptions on the group, the action, or the set on which the group acts. Using certain ‘local data’ D from the action we build a group G(D) of the data and a space X (D) with an action of G(D) on X (D) that arise naturally from the data D. We use these to obtain an approximation to the original group G, the...